This is pdfTeX, Version 3.1415926-2.4-1.40.13 (TeX Live 2012) (format=pdflatex 2012.8.24) 13 OCT 2012 14:05 entering extended mode \write18 enabled. %&-line parsing enabled. **02.tex (./02.tex LaTeX2e <2011/06/27> Babel and hyphenation patterns for english, dumylang, nohyphenation, ba sque, ukenglish, usenglishmax, french, loaded. ! Undefined control sequence. l.1 \chapter {Une histoire d'aire} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.1 \chapter{U ne histoire d'aire} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no U in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 1--2 [] [] ! LaTeX Error: Environment act undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.3 \begin{act} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.4 N ous allons calculer l'aire $\mathscr{A}$ du domaine compris entre la co... You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no N in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! LaTeX Font Info: External font `cmex10' loaded for size (Font) <7> on input line 4. LaTeX Font Info: External font `cmex10' loaded for size (Font) <5> on input line 4. ! Undefined control sequence. \mathscr l.4 Nous allons calculer l'aire $\mathscr {A}$ du domaine compris entre la co... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \mathscr l.4 ...u domaine compris entre la courbe $\mathscr {C}$ ci-dessous, représent... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ù in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no ê in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \dfrac l.5 ... $n$ subdivisions de même amplitude $\dfrac {b-a}{n}$, notées $I_k=\le... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! ! Undefined control sequence. l.5 ...frac{b-a}{n}$, notées $I_k=\left[a;a+\dfrac {b-a}{n}k\right]$, pour $1... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.5 ...a+\dfrac{b-a}{n}k\right]$, pour $1\leqslant k\leqslant n$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.5 ...a}{n}k\right]$, pour $1\leqslant k\leqslant n$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 4--6 [] [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 C$ [] Overfull \hbox (11.52776pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 f \OT1/cmr/m/n/10 : [] Overfull \hbox (18.493pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 7! [] Overfull \hbox (10.2014pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 x[]$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 a$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 b$ [] Overfull \hbox (14.84717pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 b > [] Overfull \hbox (15.8414pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 a > [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 4--6 \OT1/cmr/m/n/10 0$ [] Overfull \hbox (19.57753pt too wide) in paragraph at lines 4--6 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ; \OML/cmm/m/it/10 b\OT1/cmr /m/n/10 ]$ [] Overfull \hbox (6.00235pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 n$ [] Overfull \hbox (27.80203pt too wide) in paragraph at lines 4--6 []\OML/cmm/m/it/10 n$ [] Overfull \hbox (19.87152pt too wide) in paragraph at lines 4--6 \OML/cmm/m/it/10 I[] \OT1/cmr/m/n/10 = [] Overfull \hbox (66.11678pt too wide) in paragraph at lines 4--6 []$ [] Overfull \hbox (16.52321pt too wide) in paragraph at lines 4--6 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 kn$ [] ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.7 \begin{minipage}{0.5\linewidth} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.9 \begin{tikzpicture} [yscale=0.2] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.10 \draw [thick,->,>=stealth'] (0,0) -- (6,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.11 \draw [thick,->,>=stealth'] (0,0) -- (0,30); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.12 \shade [top color=theoreme,bottom color=white] (1,0)--plot[domain=1:4,sa... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.12 ...te] (1,0)--plot[domain=1:4,samples=70] (\x ,{\x*\x})--(4,0)--cycle; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.12 ...(1,0)--plot[domain=1:4,samples=70] (\x,{\x *\x})--(4,0)--cycle; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.12 ...0)--plot[domain=1:4,samples=70] (\x,{\x*\x })--(4,0)--cycle; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.13 \draw [thick] plot[domain=0:1,samples=70] (\x,{\x*\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.13 \draw[thick] plot[domain=0:1,samples=70] (\x ,{\x*\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.13 ...thick] plot[domain=0:1,samples=70] (\x,{\x *\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.13 ...ck] plot[domain=0:1,samples=70] (\x,{\x*\x }); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.14 \draw [thick,red] (1,0) node[below] {$a$} -- plot[domain=1:4,samples=70]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.14 ...] {$a$} -- plot[domain=1:4,samples=70] (\x ,{\x*\x}) -- (4,0) node[be... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.14 ...a$} -- plot[domain=1:4,samples=70] (\x,{\x *\x}) -- (4,0) node[below]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.14 ... -- plot[domain=1:4,samples=70] (\x,{\x*\x }) -- (4,0) node[below] {$... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.15 \draw [thick] plot[domain=4:5,samples=70] (\x,{\x*\x}) node[below right]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.15 \draw[thick] plot[domain=4:5,samples=70] (\x ,{\x*\x}) node[below right]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.15 ...thick] plot[domain=4:5,samples=70] (\x,{\x *\x}) node[below right] {$... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.15 ...ck] plot[domain=4:5,samples=70] (\x,{\x*\x }) node[below right] {$\ma... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. \mathscr l.15 ... (\x,{\x*\x}) node[below right] {$\mathscr {C}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.16 \draw [thick,->,>=stealth'] (0,0) -- (6,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.17 \draw [thick,->,>=stealth'] (0,0) -- (0,30); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 8 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.18 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (5.28589pt too wide) in paragraph at lines 9--19 \OML/cmm/m/it/10 a$ [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 9--19 \OML/cmm/m/it/10 b$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 9--19 \OML/cmm/m/it/10 C$ [] ! LaTeX Error: Environment enumerateperso undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.22 \begin{enumerateperso} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.23 \item O n considère la famille de rectangles $r_k$ de base $I_k$ et de h... Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no è in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.23 ... base $I_k$ et de hauteur $f\left(a+\dfrac {(k-1)(b-a)}{n}\right)$, d... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.23 ... base $I_k$ et de hauteur $f\left(a+\dfrac {k(b-a)}{n}\right)$, d'air... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.23 ...}\right)$, d'aire $A_k$, pour $1 \leqslant k \leqslant n$.\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.23 ...'aire $A_k$, pour $1 \leqslant k \leqslant n$.\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no M in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.24 ...e $\displaystyle\sum_{k=1}^n a_k \leqslant \mathscr{A} \leqslant \di... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.24 ...aystyle\sum_{k=1}^n a_k \leqslant \mathscr {A} \leqslant \displaystyl... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.24 ...k=1}^n a_k \leqslant \mathscr{A} \leqslant \displaystyle\sum_{k=1}^n... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (9.43175pt too wide) in paragraph at lines 23--25 \OML/cmm/m/it/10 r[]$ [] Overfull \hbox (9.31601pt too wide) in paragraph at lines 23--25 \OML/cmm/m/it/10 I[]$ [] Overfull \hbox (99.02534pt too wide) in paragraph at lines 23--25 \OML/cmm/m/it/10 f []$ [] Overfull \hbox (10.20605pt too wide) in paragraph at lines 23--25 \OML/cmm/m/it/10 a[]$ [] Overfull \hbox (12.51306pt too wide) in paragraph at lines 23--25 \OML/cmm/m/it/10 R[]$ [] Overfull \hbox (9.31601pt too wide) in paragraph at lines 23--25 \OML/cmm/m/it/10 I[]$ [] Overfull \hbox (74.02539pt too wide) in paragraph at lines 23--25 \OML/cmm/m/it/10 f []$ [] Overfull \hbox (12.42018pt too wide) in paragraph at lines 23--25 \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (16.52321pt too wide) in paragraph at lines 23--25 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 kn$ [] Overfull \hbox (64.21655pt too wide) in paragraph at lines 23--25 [] \OML/cmm/m/it/10 a[]A [] A[]$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.25 \item E xprimer $\lim\limits_{n\to+\infty}\displaystyle\sum_{k=1}^n a_k$... Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no E in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \mathscr l.25 ... et en déduire une expression de $\mathscr {A}$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (55.11125pt too wide) in paragraph at lines 25--26 [] [] \OML/cmm/m/it/10 a[]$ [] Overfull \hbox (57.32538pt too wide) in paragraph at lines 25--26 [] [] \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 25--26 \OML/cmm/m/it/10 A$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.26 \item E xprimer $\dint_a^b f(x)\dx$. Comparer avec le résultat précédent. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no E in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. \dint l.26 \item Exprimer $\dint _a^b f(x)\dx$. Comparer avec le résultat précédent. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.26 \item Exprimer $\dint_a^b f(x)\dx $. Comparer avec le résultat précédent. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no C in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{minipage} on input line 21 ended by \end{enumerateperso}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 \end{enumerateperso} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (24.30298pt too wide) in paragraph at lines 26--28 []\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ [] ! LaTeX Error: \begin{document} ended by \end{act}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.29 \end{act} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (20.0pt too wide) in paragraph at lines 7--30 []$[]$ [] ! LaTeX Error: Environment enumerateperso undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.31 \begin{enumerateperso} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.32 \item V oyons sur deux schémas ce qui se passe : Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no V in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.36 \begin{tikzpicture} [yscale=0.15] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.37 \draw [thick,->,>=stealth'] (0,0) -- (6,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.38 \draw [thick,->,>=stealth'] (0,0) -- (0,30); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.39 \draw [thick] plot[domain=0:1,samples=70] (\x,{\x*\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.39 \draw[thick] plot[domain=0:1,samples=70] (\x ,{\x*\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.39 ...thick] plot[domain=0:1,samples=70] (\x,{\x *\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.39 ...ck] plot[domain=0:1,samples=70] (\x,{\x*\x }); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.40 \draw [thick,red] (1,0) node[below] {$a$} -- plot[domain=1:4,samples=70]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.40 ...] {$a$} -- plot[domain=1:4,samples=70] (\x ,{\x*\x}) -- (4,0) node[be... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.40 ...a$} -- plot[domain=1:4,samples=70] (\x,{\x *\x}) -- (4,0) node[below]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.40 ... -- plot[domain=1:4,samples=70] (\x,{\x*\x }) -- (4,0) node[below] {$... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.41 \draw [thick] plot[domain=4:5,samples=70] (\x,{\x*\x}) node[below right]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.41 \draw[thick] plot[domain=4:5,samples=70] (\x ,{\x*\x}) node[below right]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.41 ...thick] plot[domain=4:5,samples=70] (\x,{\x *\x}) node[below right] {$... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.41 ...ck] plot[domain=4:5,samples=70] (\x,{\x*\x }) node[below right] {$\ma... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. \mathscr l.41 ... (\x,{\x*\x}) node[below right] {$\mathscr {C}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.42 \draw [thick,->,>=stealth'] (0,0) -- (6,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.43 \draw [thick,->,>=stealth'] (0,0) -- (0,30); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.45 \draw [very thick,orange] (1,0) rectangle +(1,1); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.46 \draw [very thick,orange] (2,0) rectangle +(1,4); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.47 \draw [very thick,orange] (3,0) rectangle +(1,9); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 9 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.48 \node [below,orange] at (1.5,0) {$I_1$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.49 \node [below,orange] at (2.5,0) {$I_2$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.50 \node [below,orange] at (3.5,0) {$I_3$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.51 \node [orange] at (1.5,4) {$r_1$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.52 \node [orange] at (2.5,2) {$r_2$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.53 \node [orange] at (3.5,4) {$r_3$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.54 \node [right] at (1,16) {Ici, $n=3$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no I in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 35 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.55 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (5.28589pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 a$ [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 b$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 C$ [] Overfull \hbox (8.88197pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 I[]$ [] Overfull \hbox (8.88197pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 I[]$ [] Overfull \hbox (8.88197pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 I[]$ [] Overfull \hbox (8.99771pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 r[]$ [] Overfull \hbox (8.99771pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 r[]$ [] Overfull \hbox (8.99771pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 r[]$ [] Overfull \hbox (16.55786pt too wide) in paragraph at lines 36--56 \OML/cmm/m/it/10 n \OT1/cmr/m/n/10 = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 36--56 \OT1/cmr/m/n/10 3$ [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.60 \begin{tikzpicture} [yscale=0.15] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.61 \draw [thick,->,>=stealth'] (0,0) -- (6,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.62 \draw [thick,->,>=stealth'] (0,0) -- (0,30); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.63 \draw [thick] plot[domain=0:1,samples=70] (\x,{\x*\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.63 \draw[thick] plot[domain=0:1,samples=70] (\x ,{\x*\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.63 ...thick] plot[domain=0:1,samples=70] (\x,{\x *\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.63 ...ck] plot[domain=0:1,samples=70] (\x,{\x*\x }); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.64 \draw [thick,red] (1,0) node[below] {$a$} -- plot[domain=1:4,samples=70]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.64 ...] {$a$} -- plot[domain=1:4,samples=70] (\x ,{\x*\x}) -- (4,0) node[be... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.64 ...a$} -- plot[domain=1:4,samples=70] (\x,{\x *\x}) -- (4,0) node[below]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.64 ... -- plot[domain=1:4,samples=70] (\x,{\x*\x }) -- (4,0) node[below] {$... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.65 \draw [thick] plot[domain=4:5,samples=70] (\x,{\x*\x}) node[below right]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.65 \draw[thick] plot[domain=4:5,samples=70] (\x ,{\x*\x}) node[below right]... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.65 ...thick] plot[domain=4:5,samples=70] (\x,{\x *\x}) node[below right] {$... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.65 ...ck] plot[domain=4:5,samples=70] (\x,{\x*\x }) node[below right] {$\ma... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. \mathscr l.65 ... (\x,{\x*\x}) node[below right] {$\mathscr {C}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.66 \draw [thick,->,>=stealth'] (0,0) -- (6,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.67 \draw [thick,->,>=stealth'] (0,0) -- (0,30); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.69 \draw [very thick,purple] (1,0) rectangle +(1,4); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.70 \draw [very thick,purple] (2,0) rectangle +(1,9); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 9 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.71 \draw [very thick,purple] (3,0) rectangle +(1,16); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.72 \node [below,purple] at (1.5,0) {$I_1$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.73 \node [below,purple] at (2.5,0) {$I_2$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.74 \node [below,purple] at (3.5,0) {$I_3$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.75 \node [above,purple] at (1.5,4) {$R_1$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.76 \node [purple] at (2.5,2) {$R_2$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.77 \node [purple] at (3.5,4) {$R_3$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.78 \node [right] at (1,16) {Ici, $n=3$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no I in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 59 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.79 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (5.28589pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 a$ [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 b$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 C$ [] Overfull \hbox (8.88197pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 I[]$ [] Overfull \hbox (8.88197pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 I[]$ [] Overfull \hbox (8.88197pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 I[]$ [] Overfull \hbox (12.07903pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 R[]$ [] Overfull \hbox (12.07903pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 R[]$ [] Overfull \hbox (12.07903pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 R[]$ [] Overfull \hbox (16.55786pt too wide) in paragraph at lines 60--80 \OML/cmm/m/it/10 n \OT1/cmr/m/n/10 = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 60--80 \OT1/cmr/m/n/10 3$ [] Overfull \hbox (20.0pt too wide) in paragraph at lines 34--82 []$[]$ [] Underfull \vbox (badness 10000) has occurred while \output is active [] ! LaTeX Error: The font size command \normalsize is not defined: there is probably something wrong with the class file. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.84 Your command was ignored. Type I to replace it with another command, or to continue without it. [1{/home/stephane/.texlive2012/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] Missing character: There is no N in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no j in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no à in font nullfont! ! Undefined control sequence. \mathscr l.85 ... $r_k$ est toujours inférieure à $\mathscr {A}$, alors que la somme d... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no j in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no à in font nullfont! ! Undefined control sequence. \mathscr l.85 ... $R_k$ est toujours supérieure à $\mathscr {A}$, d'où l'encadrement d... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ù in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 85--86 [] [] Overfull \hbox (9.43175pt too wide) in paragraph at lines 85--86 \OML/cmm/m/it/10 r[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 85--86 \OML/cmm/m/it/10 A$ [] Overfull \hbox (12.51306pt too wide) in paragraph at lines 85--86 \OML/cmm/m/it/10 R[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 85--86 \OML/cmm/m/it/10 A$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.88 \begin {align*} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.88 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no a in font nullfont! ! Missing $ inserted. $ l.89 a_ k & =\dfrac{b-a}{n}\times f\left(a+(k-1)\dfrac{b-a}{n}\right)\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Misplaced alignment tab character &. l.89 a_k & =\dfrac{b-a}{n}\times f\left(a+(k-1)\dfrac{b-a}{n}\right)\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.89 a_k & =\dfrac {b-a}{n}\times f\left(a+(k-1)\dfrac{b-a}{n}\right)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.89 ...=\dfrac{b-a}{n}\times f\left(a+(k-1)\dfrac {b-a}{n}\right)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.90 & = \dfrac{b-a}{n}\times\left(a+(k-1)\dfrac{b-a}{n}\right)^2\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.90 & = \dfrac {b-a}{n}\times\left(a+(k-1)\dfrac{b-a}{n}\right)^2\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.90 & = \dfrac{b-a}{n}\times\left(a+(k-1)\dfrac {b-a}{n}\right)^2\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.91 & = \dfrac{b-a}{n}\times\left[a^2+2a(k-1)\dfrac{b-a}{n}+(k-1)^2\left(\d... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.91 & = \dfrac {b-a}{n}\times\left[a^2+2a(k-1)\dfrac{b-a}{n}+(k-1)^2\left(\d... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.91 ...dfrac{b-a}{n}\times\left[a^2+2a(k-1)\dfrac {b-a}{n}+(k-1)^2\left(\dfr... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.91 ...+2a(k-1)\dfrac{b-a}{n}+(k-1)^2\left(\dfrac {b-a}{n}\right)^2\right]\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.92 & = a^2\dfrac{b-a}{n}+2a(k-1)\dfrac{(b-a)^2}{n^2}+(k-1)^2\left(\dfrac{b... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.92 & = a^2\dfrac {b-a}{n}+2a(k-1)\dfrac{(b-a)^2}{n^2}+(k-1)^2\left(\dfrac{b... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.92 & = a^2\dfrac{b-a}{n}+2a(k-1)\dfrac {(b-a)^2}{n^2}+(k-1)^2\left(\dfrac{b... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.92 ...1)\dfrac{(b-a)^2}{n^2}+(k-1)^2\left(\dfrac {b-a}{n}\right)^3 The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.93 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.93 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no D in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.95 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.96 \displaystyle \sum_{k=1}^n a_k & = I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Misplaced alignment tab character &. l.96 \displaystyle\sum_{k=1}^n a_k & = I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.97 \displaystyle\sum_{k=1}^n a^2\dfrac {(b-a)^2}{n} + \displaystyle\sum_{k=... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.97 ... + \displaystyle\sum_{k=1}^n 2a(k-1)\dfrac {b-a}{n^2} + The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.98 \displaystyle\sum_{k=1}^n (k-1)^2\left(\dfrac {b-a}{n}\right)^3\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.99 & = a^2\dfrac{b-a}{n}\times n + 2a\dfrac{(b-a)^2}{n^2}\displaystyle\sum... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.99 & = a^2\dfrac {b-a}{n}\times n + 2a\dfrac{(b-a)^2}{n^2}\displaystyle\sum... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.99 & = a^2\dfrac{b-a}{n}\times n + 2a\dfrac {(b-a)^2}{n^2}\displaystyle\sum... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.99 ...playstyle\sum_{k=1}^n (k-1) + \left(\dfrac {b-a}{n}\right)^3\displays... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.100 & = a^2(b-a) + 2a\dfrac{(b-a)^2}{n^2}\cdot\dfrac{n(n-1)}{2}+ \left(\df... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.100 & = a^2(b-a) + 2a\dfrac {(b-a)^2}{n^2}\cdot\dfrac{n(n-1)}{2}+ \left(\df... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.100 ...(b-a) + 2a\dfrac{(b-a)^2}{n^2}\cdot\dfrac {n(n-1)}{2}+ \left(\dfrac{... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.100 ...{n^2}\cdot\dfrac{n(n-1)}{2}+ \left(\dfrac {b-a}{n}\right)^3\dfrac{n(... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.100 ...}{2}+ \left(\dfrac{b-a}{n}\right)^3\dfrac {n(n-1)(2n-1)}{6}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.101 & = a^2b-a^3+\dfrac{a(b-a)^2n^2-a(b-a)^2n}{n^2}+\dfrac{2(b-a)^3n^3-3(b... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.101 & = a^2b-a^3+\dfrac {a(b-a)^2n^2-a(b-a)^2n}{n^2}+\dfrac{2(b-a)^3n^3-3(b... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.101 ...\dfrac{a(b-a)^2n^2-a(b-a)^2n}{n^2}+\dfrac {2(b-a)^3n^3-3(b-a)^3n^2+(... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.102 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.102 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Missing character: There is no A in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.104 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.105 \lim \limits_{n\to+\infty}\displaystyle\sum_{k=1}^n a_k & = a^2b-a^3+a(... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Misplaced alignment tab character &. l.105 ...to+\infty}\displaystyle\sum_{k=1}^n a_k & = a^2b-a^3+a(b-a)^2+\dfra... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.105 ..._{k=1}^n a_k & = a^2b-a^3+a(b-a)^2+\dfrac {(b-a)^3}{3}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.106 & = \dfrac{1}{3}b^3-\dfrac{1}{3}a^3 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.106 & = \dfrac {1}{3}b^3-\dfrac{1}{3}a^3 The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.106 & = \dfrac{1}{3}b^3-\dfrac {1}{3}a^3 The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.107 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.107 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Overfull \hbox (15.47568pt too wide) in paragraph at lines 89--108 [] \OT1/cmr/m/n/10 = [] Overfull \hbox (35.57983pt too wide) in paragraph at lines 89--108 []\OML/cmm/m/it/10 n \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (92.91417pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 f [] [] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 = [] Overfull \hbox (35.57983pt too wide) in paragraph at lines 89--108 []\OML/cmm/m/it/10 n \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (89.76141pt too wide) in paragraph at lines 89--108 [][] [] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 = [] Overfull \hbox (35.57983pt too wide) in paragraph at lines 89--108 []\OML/cmm/m/it/10 n \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (190.67563pt too wide) in paragraph at lines 89--108 [] [] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 = [] Overfull \hbox (45.35185pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a[][]n \OT1/cmr/m/n/10 + [] Overfull \hbox (27.47345pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 k \OMS/cms y/m/n/10 ^^@ [] Overfull \hbox (61.21881pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 1)[][] + [] Overfull \hbox (17.18755pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 k \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (55.10764pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 1)[] [][]$ [] Overfull \hbox (36.9734pt too wide) in paragraph at lines 89--108 [] \OML/cmm/m/it/10 a[] \OT1/cmr/m/n/10 = [] Overfull \hbox (73.82762pt too wide) in paragraph at lines 89--108 [] \OML/cmm/m/it/10 a[][]n \OT1/cmr/m/n/10 + [] Overfull \hbox (43.68529pt too wide) in paragraph at lines 89--108 [] \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 k \OMS/ cmsy/m/n/10 ^^@ [] Overfull \hbox (48.95488pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 1)[][] + [] Overfull \hbox (31.73276pt too wide) in paragraph at lines 89--108 []\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 k \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (56.77426pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 1)[] [][] [] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 = [] Overfull \hbox (45.35185pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a[][]n \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (13.78015pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 n \OT1/cmr/m/n/10 + [] Overfull \hbox (88.23738pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 a[][] []\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 k \ OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (16.66672pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 1) + [] Overfull \hbox (73.46535pt too wide) in paragraph at lines 89--108 [][] []\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 k \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (13.37505pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 1)[][] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 = [] Overfull \hbox (25.73038pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 b \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (16.95259pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ) + [] Overfull \hbox (57.61578pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 a[][] \OMS/cmsy/m/n/10 ^^A [] Overfull \hbox (49.78247pt too wide) in paragraph at lines 89--108 []\OT1/cmr/m/n/10 2 + [] Overfull \hbox (119.73958pt too wide) in paragraph at lines 89--108 [][] []\OT1/cmr/m/n/10 6[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 = [] Overfull \hbox (21.84148pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a[]b \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (17.54982pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a[] \OT1/cmr/m/n/10 + [] Overfull \hbox (125.67825pt too wide) in paragraph at lines 89--108 [][] \OT1/cmr/m/n/10 + [] Overfull \hbox (179.10295pt too wide) in paragraph at lines 89--108 [][]$ [] Overfull \hbox (65.66676pt too wide) in paragraph at lines 89--108 [] [] \OML/cmm/m/it/10 a[] \OT1/cmr/m/n/10 = [] Overfull \hbox (21.84148pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a[]b \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (17.54982pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a[] \OT1/cmr/m/n/10 + [] Overfull \hbox (21.24425pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 b \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (21.43872pt too wide) in paragraph at lines 89--108 \OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )[] + [] Overfull \hbox (39.06363pt too wide) in paragraph at lines 89--108 []\OT1/cmr/m/n/10 3[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 = [] Overfull \hbox (26.55562pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 13\OML/cmm/m/it/10 b[] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (19.77205pt too wide) in paragraph at lines 89--108 \OT1/cmr/m/n/10 13\OML/cmm/m/it/10 a[]$ [] Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.109 ...nfty}\displaystyle\sum_{k=1}^n A_k=\dfrac {1}{3}b^3-\dfrac{1}{3}a^3$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.109 ...le\sum_{k=1}^n A_k=\dfrac{1}{3}b^3-\dfrac {1}{3}a^3$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 109--110 [] [] Overfull \hbox (67.88089pt too wide) in paragraph at lines 109--110 [] [] \OML/cmm/m/it/10 A[] \OT1/cmr/m/n/10 = [] Overfull \hbox (26.55562pt too wide) in paragraph at lines 109--110 \OT1/cmr/m/n/10 13\OML/cmm/m/it/10 b[] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (19.77205pt too wide) in paragraph at lines 109--110 \OT1/cmr/m/n/10 13\OML/cmm/m/it/10 a[]$ [] Missing character: There is no A in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no è in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no è in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. \mathscr l.113 ...près le théorème des gendarmes, $\mathscr {A}=\dfrac{1}{3}b^3-\dfrac... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.113 ...éorème des gendarmes, $\mathscr{A}=\dfrac {1}{3}b^3-\dfrac{1}{3}a^3$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.113 ...rmes, $\mathscr{A}=\dfrac{1}{3}b^3-\dfrac {1}{3}a^3$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 113--114 [] [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 113--114 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] Overfull \hbox (26.55562pt too wide) in paragraph at lines 113--114 \OT1/cmr/m/n/10 13\OML/cmm/m/it/10 b[] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (19.77205pt too wide) in paragraph at lines 113--114 \OT1/cmr/m/n/10 13\OML/cmm/m/it/10 a[]$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.115 \item $ \dint_a^b x^2\dx=\left[\dfrac{1}{3}x^3\right]_a^b=\dfrac{1}{3}b... Try typing to proceed. If that doesn't work, type X to quit. ! Undefined control sequence. \dint l.115 \item $\dint _a^b x^2\dx=\left[\dfrac{1}{3}x^3\right]_a^b=\dfrac{1}{3}b... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.115 \item $\dint_a^b x^2\dx =\left[\dfrac{1}{3}x^3\right]_a^b=\dfrac{1}{3}b... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.115 \item $\dint_a^b x^2\dx=\left[\dfrac {1}{3}x^3\right]_a^b=\dfrac{1}{3}b... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.115 ...x=\left[\dfrac{1}{3}x^3\right]_a^b=\dfrac {1}{3}b^3-\dfrac{1}{3}a^3=... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.115 ...}{3}x^3\right]_a^b=\dfrac{1}{3}b^3-\dfrac {1}{3}a^3=\mathscr{A}$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.115 ...=\dfrac{1}{3}b^3-\dfrac{1}{3}a^3=\mathscr {A}$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{enumerateperso}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.116 \end{enumerateperso} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (25.59456pt too wide) in paragraph at lines 115--117 []\OML/cmm/m/it/10 x[] \OT1/cmr/m/n/10 = [] Overfull \hbox (43.92796pt too wide) in paragraph at lines 115--117 [][] \OT1/cmr/m/n/10 = [] Overfull \hbox (26.55562pt too wide) in paragraph at lines 115--117 \OT1/cmr/m/n/10 13\OML/cmm/m/it/10 b[] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (30.32756pt too wide) in paragraph at lines 115--117 \OT1/cmr/m/n/10 13\OML/cmm/m/it/10 a[] \OT1/cmr/m/n/10 = [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 115--117 \OML/cmm/m/it/10 A$ [] Underfull \vbox (badness 10000) has occurred while \output is active [] ! LaTeX Error: The font size command \normalsize is not defined: there is probably something wrong with the class file. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.119 Your command was ignored. Type I to replace it with another command, or to continue without it. [2] ! Undefined control sequence. l.120 \section {Fonctions à valeurs positives} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.120 \section{F onctions à valeurs positives} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no F in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no à in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 120--121 [] [] ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.122 C onsidérons une fonction $f$, continue sur un intervalle $\mathcal{I}$... You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no C in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \R l.122 ...ue sur un intervalle $\mathcal{I}$ de $\R $, telle que : The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 122--123 [] [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 122--123 \OML/cmm/m/it/10 f$ [] Overfull \hbox (6.18336pt too wide) in paragraph at lines 122--123 \OMS/cmsy/m/n/10 I$ [] ! Undefined control sequence. l.124 \forall x\in\mathcal{I},\: f(x)\geqslant 0 The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (58.58607pt too wide) detected at line 125 \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 2 I\OML/cmm/m/it/10 ; f\ OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )0 [] Missing character: There is no N in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! ! Undefined control sequence. \mathscr l.126 Notons alors $\mathscr {A}(a)$ l'aire du domaine délimité par la courbe... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.5637pt too wide) in paragraph at lines 125--127 $\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )$ [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 125--127 \OML/cmm/m/it/10 f$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 125--127 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 125--127 \OT1/cmr/m/n/10 0$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 125--127 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 125--127 \OML/cmm/m/it/10 a$ [] ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.128 \begin{center} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Overfull \hbox (20.0pt too wide) in paragraph at lines 128--128 [] [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.129 \begin{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.130 \draw [->,>=stealth'] (-1,0) -- (7,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.131 \draw [->,>=stealth'] (0,-1) -- (0,5); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.132 \shade [top color=bleunuit,bottom color=bleunuit!20] plot[domain=2:5] ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.132 ... color=bleunuit!20] plot[domain=2:5] (\x ,{0.005*\x*\x*\x+0.07*\x*\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.132 ...unuit!20] plot[domain=2:5] (\x,{0.005*\x *\x*\x+0.07*\x*\x+0.03*\x+... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.132 ...it!20] plot[domain=2:5] (\x,{0.005*\x*\x *\x+0.07*\x*\x+0.03*\x+1})... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.132 ...20] plot[domain=2:5] (\x,{0.005*\x*\x*\x +0.07*\x*\x+0.03*\x+1}) --... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.132 ...[domain=2:5] (\x,{0.005*\x*\x*\x+0.07*\x *\x+0.03*\x+1}) -- (5,0) -... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.132 ...main=2:5] (\x,{0.005*\x*\x*\x+0.07*\x*\x +0.03*\x+1}) -- (5,0) -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.132 ...] (\x,{0.005*\x*\x*\x+0.07*\x*\x+0.03*\x +1}) -- (5,0) -- (2,0) -- ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.133 \draw [thick] plot[domain=-0.5:6] (\x,{0.005*\x*\x*\x+0.07*\x*\x+0.03*\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.133 \draw[thick] plot[domain=-0.5:6] (\x ,{0.005*\x*\x*\x+0.07*\x*\x+0.03*\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.133 ...[thick] plot[domain=-0.5:6] (\x,{0.005*\x *\x*\x+0.07*\x*\x+0.03*\x+... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.133 ...ick] plot[domain=-0.5:6] (\x,{0.005*\x*\x *\x+0.07*\x*\x+0.03*\x+1})... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.133 ...] plot[domain=-0.5:6] (\x,{0.005*\x*\x*\x +0.07*\x*\x+0.03*\x+1}) no... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.133 ...omain=-0.5:6] (\x,{0.005*\x*\x*\x+0.07*\x *\x+0.03*\x+1}) node[below... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.133 ...in=-0.5:6] (\x,{0.005*\x*\x*\x+0.07*\x*\x +0.03*\x+1}) node[below ri... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.133 ...6] (\x,{0.005*\x*\x*\x+0.07*\x*\x+0.03*\x +1}) node[below right] {$y... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.134 \node [below] at (2,0) {$a$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.135 \node [below] at (5,0) {$a+h$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.136 \node [scale=2,text=white] at (3.5,1) {$\mathscr{A}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! ! Undefined control sequence. \mathscr l.136 ...scale=2,text=white] at (3.5,1) {$\mathscr {A}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 128 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.137 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (15.81711pt too wide) in paragraph at lines 130--138 \OML/cmm/m/it/10 y \OT1/cmr/m/n/10 = [] Overfull \hbox (19.46533pt too wide) in paragraph at lines 130--138 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 130--138 \OML/cmm/m/it/10 a$ [] Overfull \hbox (13.06369pt too wide) in paragraph at lines 130--138 \OML/cmm/m/it/10 a \OT1/cmr/m/n/10 + [] Overfull \hbox (5.76158pt too wide) in paragraph at lines 130--138 \OML/cmm/m/it/10 h$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 130--138 \OML/cmm/m/it/10 A$ [] Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no à in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 140--141 [] [] ! Undefined control sequence. l.141 \[ \mathscr {A}=\mathscr{A}(a+h)-\mathscr{A}(a)\quad , \quad h \geqslan... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.141 \[ \mathscr{A}=\mathscr {A}(a+h)-\mathscr{A}(a)\quad , \quad h \geqslan... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.141 \[ \mathscr{A}=\mathscr{A}(a+h)-\mathscr {A}(a)\quad , \quad h \geqslan... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.141 ...)-\mathscr{A}(a)\quad , \quad h \geqslant 0 \] The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (98.48384pt too wide) detected at line 141 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 A\OT1/cmr/m/n/10 (\OML/cm m/m/it/10 a \OT1/cmr/m/n/10 + \OML/cmm/m/it/10 h\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n /10 ^^@ \OML/cmm/m/it/10 A\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ) \OML/cmm/m/it/10 ; h\OT1/cmr/m/n/10 0 [] Missing character: There is no O in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no à in font nullfont! ! Undefined control sequence. \mathscr l.142 ...right)$ a une aire supérieure à $\mathscr {A}$ et le rectangle de lo... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no à in font nullfont! ! Undefined control sequence. \mathscr l.142 ...right)$ a une aire inférieure à $\mathscr {A}$. D'où : The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ù in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (5.76158pt too wide) in paragraph at lines 141--143 $\OML/cmm/m/it/10 h$ [] Overfull \hbox (88.55563pt too wide) in paragraph at lines 141--143 [] []$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 141--143 \OML/cmm/m/it/10 A$ [] Overfull \hbox (5.76158pt too wide) in paragraph at lines 141--143 \OML/cmm/m/it/10 h$ [] Overfull \hbox (86.61118pt too wide) in paragraph at lines 141--143 [] []$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 141--143 \OML/cmm/m/it/10 A$ [] ! Undefined control sequence. l.144 ...mes\min\left(f(a);f(a+h)\right) \leqslant \mathscr{A} \leqslant h\t... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.144 ...eft(f(a);f(a+h)\right) \leqslant \mathscr {A} \leqslant h\times\max\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.144 ...h)\right) \leqslant \mathscr{A} \leqslant h\times\max\left(f(a);f(a... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (211.41222pt too wide) detected at line 145 \OML/cmm/m/it/10 h \OMS/cmsy/m/n/10 ^^B [] [] \OML/cmm/m/it/10 Ah \OMS/cmsy/m/n /10 ^^B [] [] [] Missing character: There is no A in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no : in font nullfont! ! Undefined control sequence. l.148 \min\left(f(a);f(a+h)\right) \leqslant \frac{\mathscr{A}}{h} \leqslant... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. \mathscr {A} l.148 ...h)\right) \leqslant \frac{\mathscr{A}}{h} \leqslant \max\left(f(a);... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.148 ...\leqslant \frac{\mathscr{A}}{h} \leqslant \max\left(f(a);f(a+h)\right) The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (188.40007pt too wide) detected at line 149 [] [] [] [] [] [] Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no : in font nullfont! ! Undefined control sequence. l.152 \min\left(f(a);f(a+h)\right) \leqslant \frac{\mathscr{A}(a+h)-\mathscr... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. \mathscr {A}(a+h)-\mathscr {A}(h) l.152 ...\frac{\mathscr{A}(a+h)-\mathscr{A}(h)}{h} \leqslant \max\left(f(a);... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. \mathscr {A}(a+h)-\mathscr {A}(h) l.152 ...\frac{\mathscr{A}(a+h)-\mathscr{A}(h)}{h} \leqslant \max\left(f(a);... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.152 ...hscr{A}(a+h)-\mathscr{A}(h)}{h} \leqslant \max\left(f(a);f(a+h)\right) The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (252.70901pt too wide) detected at line 153 [] [] [] [] [] [] Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no à in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no : in font nullfont! ! Undefined control sequence. \mathscr {A}(a+h)-\mathscr {A}(h) l.156 ...\frac{\mathscr{A}(a+h)-\mathscr{A}(h)}{h} = f(a) The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. \mathscr {A}(a+h)-\mathscr {A}(h) l.156 ...\frac{\mathscr{A}(a+h)-\mathscr{A}(h)}{h} = f(a) The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (124.88487pt too wide) detected at line 157 [] [] \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\O T1/cmr/m/n/10 ) [] Missing character: There is no C in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! ! Undefined control sequence. \mathscr l.158 ...pour tout $a$, donc la fonction $\mathscr {A}\: :\: x \mapsto \maths... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.158 ...ion $\mathscr{A}\: :\: x \mapsto \mathscr {A}(x)$ est une primitive ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (5.28589pt too wide) in paragraph at lines 157--160 $\OML/cmm/m/it/10 a$ [] Overfull \hbox (13.05551pt too wide) in paragraph at lines 157--160 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 : [] Overfull \hbox (18.493pt too wide) in paragraph at lines 157--160 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 7! [] Overfull \hbox (20.99309pt too wide) in paragraph at lines 157--160 \OML/cmm/m/it/10 A\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 157--160 \OML/cmm/m/it/10 f$ [] ! Undefined control sequence. l.161 \mathscr {A}=\mathscr{A}(a+h)-\mathscr{A}(h)=\int_a^{a+h} f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.161 \mathscr{A}=\mathscr {A}(a+h)-\mathscr{A}(h)=\int_a^{a+h} f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.161 \mathscr{A}=\mathscr{A}(a+h)-\mathscr {A}(h)=\int_a^{a+h} f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.161 ...(a+h)-\mathscr{A}(h)=\int_a^{a+h} f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (143.87703pt too wide) detected at line 162 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 A\OT1/cmr/m/n/10 (\OML/cm m/m/it/10 a \OT1/cmr/m/n/10 + \OML/cmm/m/it/10 h\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n /10 ^^@ \OML/cmm/m/it/10 A\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 h\OT1/cmr/m/n/10 ) = [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) [] Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no è in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment thm undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.165 \begin{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \mathscr l.166 ...a;b]$, de courbe représentative $\mathscr {C}$, telle que $f(x) \geq... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.166 ... $\mathscr{C}$, telle que $f(x) \geqslant 0$ sur $[a;b]$. \\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no L in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. \mathscr l.167 L'aire du domaine délimité par $\mathscr {C}$, l'axe des abscisses et l... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 166--168 [] [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 166--168 \OML/cmm/m/it/10 f$ [] Overfull \hbox (19.57753pt too wide) in paragraph at lines 166--168 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ; \OML/cmm/m/it/10 b\OT1/cmr /m/n/10 ]$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 166--168 \OML/cmm/m/it/10 C$ [] Overfull \hbox (24.46535pt too wide) in paragraph at lines 166--168 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )0$ [] Overfull \hbox (19.57753pt too wide) in paragraph at lines 166--168 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ; \OML/cmm/m/it/10 b\OT1/cmr /m/n/10 ]$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 166--168 \OML/cmm/m/it/10 C$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 166--168 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 166--168 \OML/cmm/m/it/10 a$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 166--168 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 166--168 \OML/cmm/m/it/10 b$ [] ! Undefined control sequence. l.169 \mathscr {A}=\int_a^b f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.169 \mathscr{A}=\int_a^b f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (55.98187pt too wide) detected at line 170 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\O ML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) [] ! LaTeX Error: \begin{document} ended by \end{thm}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.171 \end{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.173 \section {Fonctions à valeurs négatives} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no F in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no à in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 173--174 [] [] Missing character: There is no C in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. \mathscr l.175 ...s la fonction $f$, positive sur $\mathscr {I}$, et la fonction $g$ t... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. \mathscr l.175 ... $g$ telle que $g(x)=-f(x)$ sur $\mathscr {I}$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 175--176 [] [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 175--176 \OML/cmm/m/it/10 f$ [] Overfull \hbox (5.18054pt too wide) in paragraph at lines 175--176 \OML/cmm/m/it/10 I$ [] Overfull \hbox (5.12846pt too wide) in paragraph at lines 175--176 \OML/cmm/m/it/10 g$ [] Overfull \hbox (29.17705pt too wide) in paragraph at lines 175--176 \OML/cmm/m/it/10 g\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (27.24313pt too wide) in paragraph at lines 175--176 \OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/c mr/m/n/10 )$ [] Overfull \hbox (5.18054pt too wide) in paragraph at lines 175--176 \OML/cmm/m/it/10 I$ [] Overfull \hbox (20.0pt too wide) in paragraph at lines 177--177 [] [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.178 \begin{tikzpicture} [yscale=0.5] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.179 \draw [->,>=stealth'] (-1,0) -- (7,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.180 \draw [->,>=stealth'] (0,-5) -- (0,5); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.181 \shade [top color=bleunuit,bottom color=bleunuit!20] plot[domain=2:5] ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.181 ... color=bleunuit!20] plot[domain=2:5] (\x ,{0.005*\x*\x*\x+0.07*\x*\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.181 ...unuit!20] plot[domain=2:5] (\x,{0.005*\x *\x*\x+0.07*\x*\x+0.03*\x+... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.181 ...it!20] plot[domain=2:5] (\x,{0.005*\x*\x *\x+0.07*\x*\x+0.03*\x+1})... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.181 ...20] plot[domain=2:5] (\x,{0.005*\x*\x*\x +0.07*\x*\x+0.03*\x+1}) --... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.181 ...[domain=2:5] (\x,{0.005*\x*\x*\x+0.07*\x *\x+0.03*\x+1}) -- (5,0) -... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.181 ...main=2:5] (\x,{0.005*\x*\x*\x+0.07*\x*\x +0.03*\x+1}) -- (5,0) -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.181 ...] (\x,{0.005*\x*\x*\x+0.07*\x*\x+0.03*\x +1}) -- (5,0) -- (2,0) -- ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.182 \shade [top color=theoreme!50,bottom color=theoreme!20] plot[domain=2:5... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.182 ... color=theoreme!20] plot[domain=2:5] (\x ,{-0.005*\x*\x*\x-0.07*\x*... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.182 ...reme!20] plot[domain=2:5] (\x,{-0.005*\x *\x*\x-0.07*\x*\x-0.03*\x-... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.182 ...e!20] plot[domain=2:5] (\x,{-0.005*\x*\x *\x-0.07*\x*\x-0.03*\x-1})... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.182 ...0] plot[domain=2:5] (\x,{-0.005*\x*\x*\x -0.07*\x*\x-0.03*\x-1}) --... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.182 ...domain=2:5] (\x,{-0.005*\x*\x*\x-0.07*\x *\x-0.03*\x-1}) -- (5,0) -... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.182 ...ain=2:5] (\x,{-0.005*\x*\x*\x-0.07*\x*\x -0.03*\x-1}) -- (5,0) -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.182 ... (\x,{-0.005*\x*\x*\x-0.07*\x*\x-0.03*\x -1}) -- (5,0) -- (2,0) -- ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.183 \draw [thick] plot[domain=-0.5:6] (\x,{0.005*\x*\x*\x+0.07*\x*\x+0.03*\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.183 \draw[thick] plot[domain=-0.5:6] (\x ,{0.005*\x*\x*\x+0.07*\x*\x+0.03*\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.183 ...[thick] plot[domain=-0.5:6] (\x,{0.005*\x *\x*\x+0.07*\x*\x+0.03*\x+... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.183 ...ick] plot[domain=-0.5:6] (\x,{0.005*\x*\x *\x+0.07*\x*\x+0.03*\x+1})... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.183 ...] plot[domain=-0.5:6] (\x,{0.005*\x*\x*\x +0.07*\x*\x+0.03*\x+1}) no... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.183 ...omain=-0.5:6] (\x,{0.005*\x*\x*\x+0.07*\x *\x+0.03*\x+1}) node[below... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.183 ...in=-0.5:6] (\x,{0.005*\x*\x*\x+0.07*\x*\x +0.03*\x+1}) node[below ri... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.183 ...6] (\x,{0.005*\x*\x*\x+0.07*\x*\x+0.03*\x +1}) node[below right] {$y... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.184 \draw [thick] plot[domain=-0.5:6] (\x,{-0.005*\x*\x*\x-0.07*\x*\x-0.03*... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.184 \draw[thick] plot[domain=-0.5:6] (\x ,{-0.005*\x*\x*\x-0.07*\x*\x-0.03*... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.184 ...thick] plot[domain=-0.5:6] (\x,{-0.005*\x *\x*\x-0.07*\x*\x-0.03*\x-... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.184 ...ck] plot[domain=-0.5:6] (\x,{-0.005*\x*\x *\x-0.07*\x*\x-0.03*\x-1})... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.184 ... plot[domain=-0.5:6] (\x,{-0.005*\x*\x*\x -0.07*\x*\x-0.03*\x-1}) no... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.184 ...main=-0.5:6] (\x,{-0.005*\x*\x*\x-0.07*\x *\x-0.03*\x-1}) node[above... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.184 ...n=-0.5:6] (\x,{-0.005*\x*\x*\x-0.07*\x*\x -0.03*\x-1}) node[above ri... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.184 ...] (\x,{-0.005*\x*\x*\x-0.07*\x*\x-0.03*\x -1}) node[above right] {$y... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.185 \node [below left] at (2,0) {$a$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.186 \node [below right] at (5,0) {$a+h$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.187 \node [text=white] at (3.5,1) {$\mathscr{A}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! ! Undefined control sequence. \mathscr l.187 \node[text=white] at (3.5,1) {$\mathscr {A}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.188 \node at (3.5,-1) {$\mathscr{A}^\prime$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! ! Undefined control sequence. \mathscr l.188 \node at (3.5,-1) {$\mathscr {A}^\prime$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 177 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.189 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (15.81711pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 y \OT1/cmr/m/n/10 = [] Overfull \hbox (19.46533pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ [] Overfull \hbox (15.81711pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 y \OT1/cmr/m/n/10 = [] Overfull \hbox (18.62154pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 g\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 a$ [] Overfull \hbox (13.06369pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 a \OT1/cmr/m/n/10 + [] Overfull \hbox (5.76158pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 h$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 A$ [] Overfull \hbox (10.30557pt too wide) in paragraph at lines 178--190 \OML/cmm/m/it/10 A[]$ [] Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 192--193 [] [] ! Undefined control sequence. l.194 \mathscr {A}^\prime=\int_a^b g(x)\dx=\int_a^b(-f(x))\dx=-\int_a^b f(x)\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.194 \mathscr{A}^\prime=\int_a^b g(x)\dx =\int_a^b(-f(x))\dx=-\int_a^b f(x)\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.194 ...prime=\int_a^b g(x)\dx=\int_a^b(-f(x))\dx =-\int_a^b f(x)\dx=-\maths... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.194 ...)\dx=\int_a^b(-f(x))\dx=-\int_a^b f(x)\dx =-\mathscr{A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.194 ...a^b(-f(x))\dx=-\int_a^b f(x)\dx=-\mathscr {A} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (206.85179pt too wide) detected at line 195 \OML/cmm/m/it/10 A[] \OT1/cmr/m/n/10 = [][] \OML/cmm/m/it/10 g\OT1/cmr/m/n/10 ( \OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [][](\OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )) = \OMS/cmsy/m/n/10 ^^@ [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = \ OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 A [] Missing character: There is no D in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no à in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \dint l.197 ...n précédente, on peut affirmer que $\dint _b^a f(x)\dx=-\dint_a^b f(... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.197 ..., on peut affirmer que $\dint_b^a f(x)\dx =-\dint_a^b f(x)\dx$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.197 ...ut affirmer que $\dint_b^a f(x)\dx=-\dint _a^b f(x)\dx$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.197 ...que $\dint_b^a f(x)\dx=-\dint_a^b f(x)\dx $. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 197--198 [] [] Overfull \hbox (34.85849pt too wide) in paragraph at lines 197--198 []\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (32.08078pt too wide) in paragraph at lines 197--198 \OMS/cmsy/m/n/10 ^^@[]\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1 /cmr/m/n/10 )$ [] Missing character: There is no D in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ù in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no è in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 201--202 [] [] ! LaTeX Error: Environment thm undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.203 \begin{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \mathscr l.204 ...a;b]$, de courbe représentative $\mathscr {C}$, telle que $f(x) \geq... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.204 ... $\mathscr{C}$, telle que $f(x) \geqslant 0$ sur $[a;b]$. \\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no L in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. \mathscr l.205 L'aire du domaine délimité par $\mathscr {C}$, l'axe des abscisses et l... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 204--206 [] [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 204--206 \OML/cmm/m/it/10 f$ [] Overfull \hbox (19.57753pt too wide) in paragraph at lines 204--206 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ; \OML/cmm/m/it/10 b\OT1/cmr /m/n/10 ]$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 204--206 \OML/cmm/m/it/10 C$ [] Overfull \hbox (24.46535pt too wide) in paragraph at lines 204--206 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )0$ [] Overfull \hbox (19.57753pt too wide) in paragraph at lines 204--206 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ; \OML/cmm/m/it/10 b\OT1/cmr /m/n/10 ]$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 204--206 \OML/cmm/m/it/10 C$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 204--206 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 204--206 \OML/cmm/m/it/10 a$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 204--206 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 204--206 \OML/cmm/m/it/10 b$ [] ! Undefined control sequence. l.207 \mathscr {A}=-\int_a^b f(x)\dx=\int_b^a f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.207 \mathscr{A}=-\int_a^b f(x)\dx =\int_b^a f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.207 ...scr{A}=-\int_a^b f(x)\dx=\int_b^a f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (114.72914pt too wide) detected at line 208 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 ^^@ [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) [] ! LaTeX Error: \begin{document} ended by \end{thm}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.209 \end{thm} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.211 \section {Fonctions à signe non constant} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no F in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no à in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 211--212 [] [] Overfull \hbox (20.0pt too wide) in paragraph at lines 213--213 [] [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.214 \begin{tikzpicture} [yscale=0.5] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.215 \shade [bottom color=bleu!10,top color=bleu!50] plot[domain=0:4] (\x,{\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.215 ...0,top color=bleu!50] plot[domain=0:4] (\x ,{\x*\x-5*\x+2}) -- (4,0) ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.215 ...p color=bleu!50] plot[domain=0:4] (\x,{\x *\x-5*\x+2}) -- (4,0) -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.215 ...olor=bleu!50] plot[domain=0:4] (\x,{\x*\x -5*\x+2}) -- (4,0) -- (0,0... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.215 ...bleu!50] plot[domain=0:4] (\x,{\x*\x-5*\x +2}) -- (4,0) -- (0,0) -- ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.216 \draw [->,>=stealth',thick] (-2,0) -- (7,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.217 \draw [->,>=stealth',thick] (-1,-5) -- (-1,8); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 8 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.218 \draw [thick] plot[domain=-0.5:6] (\x,{\x*\x-5*\x+2}) ; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.218 \draw[thick] plot[domain=-0.5:6] (\x ,{\x*\x-5*\x+2}) ; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.218 \draw[thick] plot[domain=-0.5:6] (\x,{\x *\x-5*\x+2}) ; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.218 \draw[thick] plot[domain=-0.5:6] (\x,{\x*\x -5*\x+2}) ; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.218 ...hick] plot[domain=-0.5:6] (\x,{\x*\x-5*\x +2}) ; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.219 \node [below] at (0,0) {$a$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.220 \node [above] at (0.6,0) {$b$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.221 \node [above] at (4,0) {$c$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 213 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.222 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (5.28589pt too wide) in paragraph at lines 214--223 \OML/cmm/m/it/10 a$ [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 214--223 \OML/cmm/m/it/10 b$ [] Overfull \hbox (4.32756pt too wide) in paragraph at lines 214--223 \OML/cmm/m/it/10 c$ [] Missing character: There is no J in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \R l.225 ...f$ sur un intervalle $\mathcal{I}$ de $\R $. Sur $[a;c]\subseteq\mat... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \mathscr l.225 ...nt. Ainsi, pour calculer l'aire $\mathscr {A}$ du domaine représenté... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no C in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 225--226 [] [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 225--226 \OML/cmm/m/it/10 f$ [] Overfull \hbox (6.18336pt too wide) in paragraph at lines 225--226 \OMS/cmsy/m/n/10 I$ [] Overfull \hbox (30.16895pt too wide) in paragraph at lines 225--226 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ; \OML/cmm/m/it/10 c\OT1/cmr /m/n/10 ] \OMS/cmsy/m/n/10 ^^R [] Overfull \hbox (6.18336pt too wide) in paragraph at lines 225--226 \OMS/cmsy/m/n/10 I$ [] Overfull \hbox (19.46533pt too wide) in paragraph at lines 225--226 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 225--226 \OML/cmm/m/it/10 A$ [] ! Undefined control sequence. l.227 \mathscr {A}=\int_a^b f(x)\dx + \int_b^c (-f(x))\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.227 \mathscr{A}=\int_a^b f(x)\dx + \int_b^c (-f(x))\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.227 ...A}=\int_a^b f(x)\dx + \int_b^c (-f(x))\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (112.85437pt too wide) detected at line 228 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\O ML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) + [][](\OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 f \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )) [] Missing character: There is no D in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no è in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment prop undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.231 \begin{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no S in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \R l.232 ...ue sur un intervalle $\mathcal{I}$ de $\R $, de courbe représentativ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \mathscr l.232 ... $\R$, de courbe représentative $\mathscr {C}$, telle que : The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 232--233 [] [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 232--233 \OML/cmm/m/it/10 f$ [] Overfull \hbox (6.18336pt too wide) in paragraph at lines 232--233 \OMS/cmsy/m/n/10 I$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 232--233 \OML/cmm/m/it/10 C$ [] ! Undefined control sequence. l.237 ...,\ \ldots,\ \mathcal{P}_n,\ f(x)\geqslant 0\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.238 ...,\ \ldots,\ \mathcal{N}_p,\ f(x)\leqslant 0\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (213.93002pt too wide) detected at line 241 [] [] Missing character: There is no A in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. \mathscr l.242 ... l'aire du domaine délimité par $\mathscr {C}$, l'axe des abscisses ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (7.86249pt too wide) in paragraph at lines 241--243 $\OML/cmm/m/it/10 C$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 241--243 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 241--243 \OML/cmm/m/it/10 a$ [] Overfull \hbox (16.27078pt too wide) in paragraph at lines 241--243 \OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 241--243 \OML/cmm/m/it/10 b$ [] ! Undefined control sequence. l.244 \mathscr {A}=\sum_{k=1}^n\int_{\mathcal{P}_k} f(x)\dx - \sum_{k=1}^p\in... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.244 ...=\sum_{k=1}^n\int_{\mathcal{P}_k} f(x)\dx - \sum_{k=1}^p\int_{\math... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.244 ... \sum_{k=1}^p\int_{\mathcal{N}_k} f(x)\dx The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (136.36594pt too wide) detected at line 245 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ^^@ [] [][] \OML/cmm/m/it /10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) [] Missing character: There is no o in font nullfont! Missing character: There is no ù in font nullfont! ! Undefined control sequence. \dint l.246 où $\dint _{A}f(x)\dx$ représente l'intégrale de $f$ sur l'intervalle $A$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.246 où $\dint_{A}f(x)\dx $ représente l'intégrale de $f$ sur l'intervalle $A$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{prop}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.247 \end{prop} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (25.97925pt too wide) in paragraph at lines 245--248 $[]\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 245--248 \OML/cmm/m/it/10 f$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 245--248 \OML/cmm/m/it/10 A$ [] ! Undefined control sequence. l.249 \section {Exercices} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no E in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 249--250 [] [] ! LaTeX Error: Environment exo undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.251 \begin{exo} [2]{Calcul d'aires} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no C in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no U in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no j in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no ô in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 251--254 [] [] ! LaTeX Error: Environment enumerateperso undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.255 \begin{enumerateperso} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment multicols undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.256 \begin{multicols} {2} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no 2 in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 256--257 [] [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.257 \item $ \mathscr{C}$ est la courbe représentative de la fonction $f : x... Try typing to proceed. If that doesn't work, type X to quit. ! Undefined control sequence. \mathscr l.257 \item $\mathscr {C}$ est la courbe représentative de la fonction $f : x... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ù in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (7.86249pt too wide) in paragraph at lines 257--258 \OML/cmm/m/it/10 C$ [] Overfull \hbox (11.52776pt too wide) in paragraph at lines 257--258 \OML/cmm/m/it/10 f \OT1/cmr/m/n/10 : [] Overfull \hbox (18.493pt too wide) in paragraph at lines 257--258 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 7! [] Overfull \hbox (17.9792pt too wide) in paragraph at lines 257--258 \OML/cmm/m/it/10 x[] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (22.97922pt too wide) in paragraph at lines 257--258 \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 x[] \OT1/cmr/m/n/10 + [] Overfull \hbox (13.49307pt too wide) in paragraph at lines 257--258 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 257--258 \OT1/cmr/m/n/10 1$ [] Overfull \hbox (30.73961pt too wide) in paragraph at lines 257--258 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 \OT1/cmr/m/n/10 ) = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 257--258 \OT1/cmr/m/n/10 0$ [] Overfull \hbox (16.98955pt too wide) in paragraph at lines 257--258 \OML/cmm/m/it/10 \OMS/cmsy/m/n/10 ^^Y [] Overfull \hbox (29.44449pt too wide) in paragraph at lines 257--258 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 7548$ [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.259 \begin{tikzpicture} [>=stealth'] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.260 \shade [bottom color=bleu,top color=bleu!10] (0,0) -- (0,-1) plot[domai... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no 8 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.260 ...,-1) plot[domain=0:1.7548,samples=70] (\x ,{\x*\x*\x-2*\x*\x+\x-1}) ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.260 ... plot[domain=0:1.7548,samples=70] (\x,{\x *\x*\x-2*\x*\x+\x-1}) -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.260 ...ot[domain=0:1.7548,samples=70] (\x,{\x*\x *\x-2*\x*\x+\x-1}) -- (0,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.260 ...domain=0:1.7548,samples=70] (\x,{\x*\x*\x -2*\x*\x+\x-1}) -- (0,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.260 ...n=0:1.7548,samples=70] (\x,{\x*\x*\x-2*\x *\x+\x-1}) -- (0,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.260 ...:1.7548,samples=70] (\x,{\x*\x*\x-2*\x*\x +\x-1}) -- (0,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! ! Undefined control sequence. l.260 ...7548,samples=70] (\x,{\x*\x*\x-2*\x*\x+\x -1}) -- (0,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.261 \draw [gray] (-1,-2) grid (3,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.262 \draw [->,thick] (-1,0) -- (3,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.263 \draw [->,thick] (0,-2) -- (0,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.264 \clip (-1,-2) rectangle (3,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.265 \draw [thick,bleu] plot[domain=-0.5:2.5,samples=70] (\x,{\x*\x*\x-2*\x*... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.265 ...leu] plot[domain=-0.5:2.5,samples=70] (\x ,{\x*\x*\x-2*\x*\x+\x-1}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! ! Undefined control sequence. l.265 ... plot[domain=-0.5:2.5,samples=70] (\x,{\x *\x*\x-2*\x*\x+\x-1}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.265 ...ot[domain=-0.5:2.5,samples=70] (\x,{\x*\x *\x-2*\x*\x+\x-1}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.265 ...domain=-0.5:2.5,samples=70] (\x,{\x*\x*\x -2*\x*\x+\x-1}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.265 ...n=-0.5:2.5,samples=70] (\x,{\x*\x*\x-2*\x *\x+\x-1}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.265 ...0.5:2.5,samples=70] (\x,{\x*\x*\x-2*\x*\x +\x-1}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! ! Undefined control sequence. l.265 ...:2.5,samples=70] (\x,{\x*\x*\x-2*\x*\x+\x -1}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.266 \node [above] at (1.6,0) {$\alpha$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.267 \node [bleu] at (2.6,2.7) {$\mathscr{C}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no ) in font nullfont! ! Undefined control sequence. \mathscr l.267 \node[bleu] at (2.6,2.7) {$\mathscr {C}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.268 \node [below left] at (0,0) {O}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 258 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.269 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (6.43404pt too wide) in paragraph at lines 259--270 \OML/cmm/m/it/10 $ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 259--270 \OML/cmm/m/it/10 C$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.272 \item $ \mathscr{P}$ est la courbe représentative de la fonction $f : x... Try typing to proceed. If that doesn't work, type X to quit. ! Undefined control sequence. \mathscr l.272 \item $\mathscr {P}$ est la courbe représentative de la fonction $f : x... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! ! Undefined control sequence. l.272 ...ive de la fonction $f : x \mapsto -\dfrac {5}{4}x^2+\dfrac{7}{4}x+\d... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.272 ...on $f : x \mapsto -\dfrac{5}{4}x^2+\dfrac {7}{4}x+\dfrac{3}{2}$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.272 ...sto -\dfrac{5}{4}x^2+\dfrac{7}{4}x+\dfrac {3}{2}$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (7.80904pt too wide) in paragraph at lines 272--273 \OML/cmm/m/it/10 P$ [] Overfull \hbox (11.52776pt too wide) in paragraph at lines 272--273 \OML/cmm/m/it/10 f \OT1/cmr/m/n/10 : [] Overfull \hbox (18.493pt too wide) in paragraph at lines 272--273 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 7! [] Overfull \hbox (35.75703pt too wide) in paragraph at lines 272--273 \OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 54\OML/cmm/m/it/10 x[] \OT1/cmr/m/n/10 + [] Overfull \hbox (23.4931pt too wide) in paragraph at lines 272--273 \OT1/cmr/m/n/10 74\OML/cmm/m/it/10 x \OT1/cmr/m/n/10 + [] Overfull \hbox (10.00003pt too wide) in paragraph at lines 272--273 \OT1/cmr/m/n/10 32$ [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.274 \begin{tikzpicture} [>=stealth'] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.275 \shade [bottom color=bleu,top color=bleu!10] (0,0) -- (0,1.5) plot[doma... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.275 ...- (0,1.5) plot[domain=0:2,samples=70] (\x ,{-5*\x*\x/4+7*\x/4+3/2}) ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.275 ...5) plot[domain=0:2,samples=70] (\x,{-5*\x *\x/4+7*\x/4+3/2}) -- (0,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.275 ...plot[domain=0:2,samples=70] (\x,{-5*\x*\x /4+7*\x/4+3/2}) -- (0,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no / in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.275 ...main=0:2,samples=70] (\x,{-5*\x*\x/4+7*\x /4+3/2}) -- (0,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no / in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no / in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.276 \draw [gray] (-1,-2) grid (3,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.277 \draw [->,thick] (-1,0) -- (3,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.278 \draw [->,thick] (0,-2) -- (0,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.279 \clip (-1,-2) rectangle (3,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.280 \draw [thick,bleu] plot[domain=-1:2.5,samples=70] (\x,{-5*\x*\x/4+7*\x/... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.280 ...,bleu] plot[domain=-1:2.5,samples=70] (\x ,{-5*\x*\x/4+7*\x/4+3/2}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.280 ...plot[domain=-1:2.5,samples=70] (\x,{-5*\x *\x/4+7*\x/4+3/2}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.280 ...t[domain=-1:2.5,samples=70] (\x,{-5*\x*\x /4+7*\x/4+3/2}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no / in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.280 ...n=-1:2.5,samples=70] (\x,{-5*\x*\x/4+7*\x /4+3/2}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no / in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no / in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.281 \node [below left] at (0,0) {O}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.282 \node [bleu] at (2.8,-1.6) {$\mathscr{P}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 8 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no ) in font nullfont! ! Undefined control sequence. \mathscr l.282 \node[bleu] at (2.8,-1.6) {$\mathscr {P}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 273 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.283 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (7.80904pt too wide) in paragraph at lines 274--284 \OML/cmm/m/it/10 P$ [] ! LaTeX Error: \begin{document} ended by \end{multicols}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.285 \end{multicols} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment multicols undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.287 \begin{multicols} {2} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no 2 in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 287--288 [] [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.288 \item $ \mathscr{E}$ est la courbe représentative de la fonction $f : x... Try typing to proceed. If that doesn't work, type X to quit. ! Undefined control sequence. \mathscr l.288 \item $\mathscr {E}$ est la courbe représentative de la fonction $f : x... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! ! Undefined control sequence. l.288 ...ive de la fonction $f : x \mapsto (x+1)\e ^{x^2+2x}$. The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (7.95831pt too wide) in paragraph at lines 288--289 \OML/cmm/m/it/10 E$ [] Overfull \hbox (11.52776pt too wide) in paragraph at lines 288--289 \OML/cmm/m/it/10 f \OT1/cmr/m/n/10 : [] Overfull \hbox (18.493pt too wide) in paragraph at lines 288--289 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 7! [] Overfull \hbox (17.38197pt too wide) in paragraph at lines 288--289 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x \OT1/cmr/m/n/10 + [] Overfull \hbox (32.48625pt too wide) in paragraph at lines 288--289 \OT1/cmr/m/n/10 1)[]$ [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.290 \begin{tikzpicture} [>=stealth'] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.291 \shade [bottom color=bleu,top color=bleu!10] (-2,0) -- (-2,-1) plot[dom... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.291 ... (-2,-1) plot[domain=-2:0,samples=70] (\x ,{(\x+1)*exp(\x*\x+2*\x)})... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.291 ...-1) plot[domain=-2:0,samples=70] (\x,{(\x +1)*exp(\x*\x+2*\x)}) -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no * in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.291 ...omain=-2:0,samples=70] (\x,{(\x+1)*exp(\x *\x+2*\x)}) -- (0,0) -- (-... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.291 ...in=-2:0,samples=70] (\x,{(\x+1)*exp(\x*\x +2*\x)}) -- (0,0) -- (-2,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.291 ...:0,samples=70] (\x,{(\x+1)*exp(\x*\x+2*\x )}) -- (0,0) -- (-2,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.292 \draw [gray] (-3,-2) grid (1,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.293 \draw [->,thick] (-3,0) -- (1,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.294 \draw [->,thick] (0,-2) -- (0,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.295 \clip (-3,-2) rectangle (1,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.296 \draw [thick,bleu] plot[domain=-3:1,samples=70] (\x,{(\x+1)*exp(\x*\x+2... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.296 ...ck,bleu] plot[domain=-3:1,samples=70] (\x ,{(\x+1)*exp(\x*\x+2*\x)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.296 ...eu] plot[domain=-3:1,samples=70] (\x,{(\x +1)*exp(\x*\x+2*\x)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no * in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.296 ...omain=-3:1,samples=70] (\x,{(\x+1)*exp(\x *\x+2*\x)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.296 ...in=-3:1,samples=70] (\x,{(\x+1)*exp(\x*\x +2*\x)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.296 ...:1,samples=70] (\x,{(\x+1)*exp(\x*\x+2*\x )}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.297 \node [below left] at (0,0) {O}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.298 \node [bleu] at (-1.8,-1.8) {$\mathscr{E}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 8 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 8 in font nullfont! Missing character: There is no ) in font nullfont! ! Undefined control sequence. \mathscr l.298 \node[bleu] at (-1.8,-1.8) {$\mathscr {E}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 289 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.299 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (7.95831pt too wide) in paragraph at lines 290--300 \OML/cmm/m/it/10 E$ [] ! Undefined control sequence. l.301 \columnbreak The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.302 \item $ \mathscr{L}$ est la courbe représentative de la fonction\\ $f~:... Try typing to proceed. If that doesn't work, type X to quit. ! Undefined control sequence. \mathscr l.302 \item $\mathscr {L}$ est la courbe représentative de la fonction\\ $f~:... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! ! Undefined control sequence. l.302 ...ve de la fonction\\ $f~:~x~\mapsto~\dfrac {(2x+1)}{x^2+x+1}\ln\left(... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Overfull \hbox (6.80557pt too wide) in paragraph at lines 302--303 \OML/cmm/m/it/10 L$ [] Overfull \hbox (182.84666pt too wide) in paragraph at lines 302--303 \OML/cmm/m/it/10 f [] \OT1/cmr/m/n/10 : []\OML/cmm/m/it/10 x [] \OMS/cmsy/m/n/ 10 7! [][][] [] []$ [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.304 \begin{tikzpicture} [>=stealth'] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.305 \shade [bottom color=bleu,top color=bleu!10] (-2,0) -- (-2,{-ln(3)}) pl... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.305 ...-ln(3)}) plot[domain=-2:0,samples=70] (\x ,{(2*\x+1)*ln(\x*\x+\x+1)/... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.305 ...) plot[domain=-2:0,samples=70] (\x,{(2*\x +1)*ln(\x*\x+\x+1)/(\x*\x+... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no * in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.305 ...main=-2:0,samples=70] (\x,{(2*\x+1)*ln(\x *\x+\x+1)/(\x*\x+\x+1)}) -... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.305 ...n=-2:0,samples=70] (\x,{(2*\x+1)*ln(\x*\x +\x+1)/(\x*\x+\x+1)}) -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! ! Undefined control sequence. l.305 ...2:0,samples=70] (\x,{(2*\x+1)*ln(\x*\x+\x +1)/(\x*\x+\x+1)}) -- (-2,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no / in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.305 ...ples=70] (\x,{(2*\x+1)*ln(\x*\x+\x+1)/(\x *\x+\x+1)}) -- (-2,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.305 ...s=70] (\x,{(2*\x+1)*ln(\x*\x+\x+1)/(\x*\x +\x+1)}) -- (-2,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! ! Undefined control sequence. l.305 ...0] (\x,{(2*\x+1)*ln(\x*\x+\x+1)/(\x*\x+\x +1)}) -- (-2,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.306 \draw [gray] (-3,-2) grid (1,2); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.307 \draw [->,thick] (-3,0) -- (1,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.308 \draw [->,thick] (0,-2) -- (0,2); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.309 \clip (-3,-2) rectangle (1,2); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.310 \draw [thick,bleu] plot[domain=-3:1,samples=70] (\x,{(2*\x+1)*ln(\x*\x+... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 7 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.310 ...ck,bleu] plot[domain=-3:1,samples=70] (\x ,{(2*\x+1)*ln(\x*\x+\x+1)/... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no * in font nullfont! ! Undefined control sequence. l.310 ...] plot[domain=-3:1,samples=70] (\x,{(2*\x +1)*ln(\x*\x+\x+1)/(\x*\x+... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no * in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.310 ...main=-3:1,samples=70] (\x,{(2*\x+1)*ln(\x *\x+\x+1)/(\x*\x+\x+1)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.310 ...n=-3:1,samples=70] (\x,{(2*\x+1)*ln(\x*\x +\x+1)/(\x*\x+\x+1)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! ! Undefined control sequence. l.310 ...3:1,samples=70] (\x,{(2*\x+1)*ln(\x*\x+\x +1)/(\x*\x+\x+1)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no / in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.310 ...ples=70] (\x,{(2*\x+1)*ln(\x*\x+\x+1)/(\x *\x+\x+1)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no * in font nullfont! ! Undefined control sequence. l.310 ...s=70] (\x,{(2*\x+1)*ln(\x*\x+\x+1)/(\x*\x +\x+1)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! ! Undefined control sequence. l.310 ...0] (\x,{(2*\x+1)*ln(\x*\x+\x+1)/(\x*\x+\x +1)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no + in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.311 \node [below right] at (0,0) {O}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.312 \node [bleu] at (-2.5,-1.5) {$\mathscr{L}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! ! Undefined control sequence. \mathscr l.312 \node[bleu] at (-2.5,-1.5) {$\mathscr {L}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 303 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.313 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (6.80557pt too wide) in paragraph at lines 304--314 \OML/cmm/m/it/10 L$ [] ! LaTeX Error: \begin{document} ended by \end{multicols}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.315 \end{multicols} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: \begin{document} ended by \end{enumerateperso}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.316 \end{enumerateperso} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: \begin{document} ended by \end{exo}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.317 \end{exo} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment correction undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.318 \begin{correction} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment enumerateperso undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.319 \begin{enumerateperso} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.320 \item U ne primitive de $f(x)$ est $F(x)=\dfrac{1}{4}x^4-\dfrac{2}{3}x^... Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no U in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! ! Undefined control sequence. l.320 ... Une primitive de $f(x)$ est $F(x)=\dfrac {1}{4}x^4-\dfrac{2}{3}x^3+... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.320 ...e $f(x)$ est $F(x)=\dfrac{1}{4}x^4-\dfrac {2}{3}x^3+\dfrac{1}{2}x-x$... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.320 ...x)=\dfrac{1}{4}x^4-\dfrac{2}{3}x^3+\dfrac {1}{2}x-x$ et la fonction ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.321 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no - in font nullfont! ! Undefined control sequence. l.322 -\dint _0^\alpha f(x)\dx & = F(0)-F(\alpha)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.322 -\dint_ 0^\alpha f(x)\dx & = F(0)-F(\alpha)\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.322 -\dint_0^\alpha f(x)\dx & = F(0)-F(\alpha)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.322 -\dint_0^\alpha f(x)\dx & = F(0)-F(\alpha)\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. & l.323 & = -\dfrac{1}{4}\alpha^4+\dfrac{2}{3}\alpha^3-\dfrac{1}{2}\alpha+\alp... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.323 & = -\dfrac {1}{4}\alpha^4+\dfrac{2}{3}\alpha^3-\dfrac{1}{2}\alpha+\alp... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.323 & = -\dfrac{1}{4}\alpha^4+\dfrac {2}{3}\alpha^3-\dfrac{1}{2}\alpha+\alp... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.323 ...1}{4}\alpha^4+\dfrac{2}{3}\alpha^3-\dfrac {1}{2}\alpha+\alpha\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.324 & \approx 2,8522 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.325 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.325 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Overfull \hbox (19.46533pt too wide) in paragraph at lines 320--326 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ [] Overfull \hbox (31.86804pt too wide) in paragraph at lines 320--326 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (27.97923pt too wide) in paragraph at lines 320--326 \OT1/cmr/m/n/10 14\OML/cmm/m/it/10 x[] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (27.97923pt too wide) in paragraph at lines 320--326 \OT1/cmr/m/n/10 23\OML/cmm/m/it/10 x[] \OT1/cmr/m/n/10 + [] Overfull \hbox (23.4931pt too wide) in paragraph at lines 320--326 \OT1/cmr/m/n/10 12\OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (5.71527pt too wide) in paragraph at lines 320--326 \OML/cmm/m/it/10 x$ [] Overfull \hbox (21.43404pt too wide) in paragraph at lines 320--326 \OT1/cmr/m/n/10 [0; \OML/cmm/m/it/10 \OT1/cmr/m/n/10 ]$ [] Overfull \hbox (35.7196pt too wide) in paragraph at lines 320--326 []\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (28.37508pt too wide) in paragraph at lines 320--326 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (0) \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (22.0313pt too wide) in paragraph at lines 320--326 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 \OT1/cmr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 320--326 \OT1/cmr/m/n/10 = [] Overfull \hbox (36.4758pt too wide) in paragraph at lines 320--326 \OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 14\OML/cmm/m/it/10 [] \OT1/cmr/m/n/10 + [] Overfull \hbox (28.698pt too wide) in paragraph at lines 320--326 \OT1/cmr/m/n/10 23\OML/cmm/m/it/10 [] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (24.21187pt too wide) in paragraph at lines 320--326 \OT1/cmr/m/n/10 12\OML/cmm/m/it/10 \OT1/cmr/m/n/10 + [] Overfull \hbox (6.43404pt too wide) in paragraph at lines 320--326 \OML/cmm/m/it/10 [] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 320--326 \OMS/cmsy/m/n/10 ^^Y [] Overfull \hbox (29.44449pt too wide) in paragraph at lines 320--326 \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 8522$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.327 \item $ f$ est positive sur $[0;2]$ et une primitive de $f$ est la fonc... Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.327 ...la fonction $F$ définie par $F(x)=-\dfrac {5}{12}x^3+\dfrac{7}{8}x^2... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.327 ...éfinie par $F(x)=-\dfrac{5}{12}x^3+\dfrac {7}{8}x^2+\dfrac{3}{2}x$. ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.327 ...=-\dfrac{5}{12}x^3+\dfrac{7}{8}x^2+\dfrac {3}{2}x$. Donc l'aire du d... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.328 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.329 \dint _0^2f(x)\dx & = F(2)-F(0)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.329 \dint_ 0^2f(x)\dx & = F(2)-F(0)\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.329 \dint_0^2f(x)\dx & = F(2)-F(0)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.329 \dint_0^2f(x)\dx & = F(2)-F(0)\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. & l.330 & = -\dfrac{5}{12}\times 8+\dfrac{7}{8}\times 4+\dfrac{3}{2}\times 2\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.330 & = -\dfrac {5}{12}\times 8+\dfrac{7}{8}\times 4+\dfrac{3}{2}\times 2\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.330 & = -\dfrac{5}{12}\times 8+\dfrac {7}{8}\times 4+\dfrac{3}{2}\times 2\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.330 ...}{12}\times 8+\dfrac{7}{8}\times 4+\dfrac {3}{2}\times 2\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.331 & = -\dfrac{10}{3}+\dfrac{7}{2}+3\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.331 & = -\dfrac {10}{3}+\dfrac{7}{2}+3\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.331 & = -\dfrac{10}{3}+\dfrac {7}{2}+3\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.332 & = \dfrac{-20+21+18}{6}\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.332 & = \dfrac {-20+21+18}{6}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.333 & = \dfrac{19}{6} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.333 & = \dfrac {19}{6} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.334 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.334 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Overfull \hbox (5.97226pt too wide) in paragraph at lines 327--335 \OML/cmm/m/it/10 f$ [] Overfull \hbox (20.00002pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 [0; 2]$ [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 327--335 \OML/cmm/m/it/10 f$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 327--335 \OML/cmm/m/it/10 F$ [] Overfull \hbox (31.86804pt too wide) in paragraph at lines 327--335 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (40.75705pt too wide) in paragraph at lines 327--335 \OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 5[]\OML/cmm/m/it/10 x[] \OT1/cmr/m/n/10 + [] Overfull \hbox (27.97923pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 78\OML/cmm/m/it/10 x[] \OT1/cmr/m/n/10 + [] Overfull \hbox (15.7153pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 32\OML/cmm/m/it/10 x$ [] Overfull \hbox (34.50697pt too wide) in paragraph at lines 327--335 []\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (28.37508pt too wide) in paragraph at lines 327--335 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (2) \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (20.59727pt too wide) in paragraph at lines 327--335 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (0)[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 = [] Overfull \hbox (30.55565pt too wide) in paragraph at lines 327--335 \OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 5[] \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (12.77782pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 8 + [] Overfull \hbox (17.77783pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 78 \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (12.77782pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 4 + [] Overfull \hbox (17.77783pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 32 \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 2[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 = [] Overfull \hbox (30.55565pt too wide) in paragraph at lines 327--335 \OMS/cmsy/m/n/10 ^^@[]\OT1/cmr/m/n/10 3 + [] Overfull \hbox (17.77783pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 72 + [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 3[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 = [] Overfull \hbox (67.22218pt too wide) in paragraph at lines 327--335 []\OT1/cmr/m/n/10 6[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 327--335 \OT1/cmr/m/n/10 = [] Overfull \hbox (15.00005pt too wide) in paragraph at lines 327--335 []\OT1/cmr/m/n/10 6$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.336 \item $ f$ est négative sur $[-2;-1]$ puis positive sur $[-1;0]$, et un... Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.336 ...itive de $f$ est définie par $F(x)=\dfrac {1}{2}e^{x^2+2x}$. Donc l'... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.337 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no - in font nullfont! ! Undefined control sequence. l.338 -\dint _{-2}^{-1}f(x)\dx+\dint_{-1}^0f(x)\dx & =F(-2)-F(-1)+F(0)-F(-1)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.338 -\dint_ {-2}^{-1}f(x)\dx+\dint_{-1}^0f(x)\dx & =F(-2)-F(-1)+F(0)-F(-1)\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.338 -\dint_{-2}^{-1}f(x)\dx +\dint_{-1}^0f(x)\dx & =F(-2)-F(-1)+F(0)-F(-1)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.338 -\dint_{-2}^{-1}f(x)\dx+\dint _{-1}^0f(x)\dx & =F(-2)-F(-1)+F(0)-F(-1)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.338 -\dint_{-2}^{-1}f(x)\dx+\dint_{-1}^0f(x)\dx & =F(-2)-F(-1)+F(0)-F(-1)\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.338 ...nt_{-2}^{-1}f(x)\dx+\dint_{-1}^0f(x)\dx & =F(-2)-F(-1)+F(0)-F(-1)\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. & l.339 & = \dfrac{1}{2}-\e^{-1}+\dfrac{1}{2}\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.339 & = \dfrac {1}{2}-\e^{-1}+\dfrac{1}{2}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.339 & = \dfrac{1}{2}-\e ^{-1}+\dfrac{1}{2}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.339 & = \dfrac{1}{2}-\e^{-1}+\dfrac {1}{2}\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.340 & = 1-\e^{-1} I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.340 & = 1-\e ^{-1} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.341 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.341 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Overfull \hbox (5.97226pt too wide) in paragraph at lines 336--342 \OML/cmm/m/it/10 f$ [] Overfull \hbox (35.55562pt too wide) in paragraph at lines 336--342 \OT1/cmr/m/n/10 [\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 2; \OMS/cmsy/m/n/10 ^^@\OT 1/cmr/m/n/10 1]$ [] Overfull \hbox (27.77782pt too wide) in paragraph at lines 336--342 \OT1/cmr/m/n/10 [\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1; 0]$ [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 336--342 \OML/cmm/m/it/10 f$ [] Overfull \hbox (31.86804pt too wide) in paragraph at lines 336--342 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (38.25363pt too wide) in paragraph at lines 336--342 \OT1/cmr/m/n/10 12\OML/cmm/m/it/10 e[]$ [] Overfull \hbox (48.71542pt too wide) in paragraph at lines 336--342 []\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) +[] [] Overfull \hbox (30.02084pt too wide) in paragraph at lines 336--342 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (36.15288pt too wide) in paragraph at lines 336--342 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 2) \OMS/ cmsy/m/n/10 ^^@ [] Overfull \hbox (36.15288pt too wide) in paragraph at lines 336--342 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1) + [] Overfull \hbox (28.37508pt too wide) in paragraph at lines 336--342 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (0) \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (28.37508pt too wide) in paragraph at lines 336--342 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 336--342 \OT1/cmr/m/n/10 = [] Overfull \hbox (28.51398pt too wide) in paragraph at lines 336--342 \OT1/cmr/m/n/10 12 \OMS/cmsy/m/n/10 ^^@[] [] Overfull \hbox (17.77783pt too wide) in paragraph at lines 336--342 \OT1/cmr/m/n/10 +12[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 336--342 \OT1/cmr/m/n/10 = [] Overfull \hbox (23.51396pt too wide) in paragraph at lines 336--342 \OT1/cmr/m/n/10 1\OMS/cmsy/m/n/10 ^^@[]$ [] ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.343 \item $ f$ est négative sur $[-2;-1[$ et sur $\left]-\dfrac{1}{2};0\rig... Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.343 ...ative sur $[-2;-1[$ et sur $\left]-\dfrac {1}{2};0\right]$, puis pos... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.343 ...ht]$, puis positive sur $\left]-1;-\dfrac {1}{2}\right[$. De plus, u... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. l.343 ... est la fonction définie par $F(x)=\dfrac {1}{2}\left[\ln\left(x^2+x... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.344 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.345 \dint _{-1}^{-2}f(x)\dx+\dint_{-1}^{-\frac{1}{2}}f(x)\dx+\dint_0^{-\fra... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing $ inserted. $ l.345 \dint_ {-1}^{-2}f(x)\dx+\dint_{-1}^{-\frac{1}{2}}f(x)\dx+\dint_0^{-\fra... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.345 \dint_{-1}^{-2}f(x)\dx +\dint_{-1}^{-\frac{1}{2}}f(x)\dx+\dint_0^{-\fra... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.345 \dint_{-1}^{-2}f(x)\dx+\dint _{-1}^{-\frac{1}{2}}f(x)\dx+\dint_0^{-\fra... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.345 ...}f(x)\dx+\dint_{-1}^{-\frac{1}{2}}f(x)\dx +\dint_0^{-\frac{1}{2}}f(x... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.345 ...dx+\dint_{-1}^{-\frac{1}{2}}f(x)\dx+\dint _0^{-\frac{1}{2}}f(x)\dx &... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.345 ...{2}}f(x)\dx+\dint_0^{-\frac{1}{2}}f(x)\dx & = F(-2)-2F(-1)+2F\left(... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. l.345 ...}}f(x)\dx+\dint_0^{-\frac{1}{2}}f(x)\dx & = F(-2)-2F(-1)+2F\left(-\... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. & l.346 & = \dfrac{1}{2}\left(\ln 3\right)^2+\left(\ln\left(\dfrac{3}{4}\right... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.346 & = \dfrac {1}{2}\left(\ln 3\right)^2+\left(\ln\left(\dfrac{3}{4}\right... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.346 ...left(\ln 3\right)^2+\left(\ln\left(\dfrac {3}{4}\right)\right)^2 The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.347 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.347 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \begin{document} ended by \end{enumerateperso}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.348 \end{enumerateperso} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: \begin{document} ended by \end{correction}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.349 \end{correction} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (5.97226pt too wide) in paragraph at lines 343--350 \OML/cmm/m/it/10 f$ [] Overfull \hbox (35.55562pt too wide) in paragraph at lines 343--350 \OT1/cmr/m/n/10 [\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 2; \OMS/cmsy/m/n/10 ^^@\OT 1/cmr/m/n/10 1[$ [] Overfull \hbox (32.77783pt too wide) in paragraph at lines 343--350 []$ [] Overfull \hbox (40.55563pt too wide) in paragraph at lines 343--350 []$ [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 343--350 \OML/cmm/m/it/10 f$ [] Overfull \hbox (31.86804pt too wide) in paragraph at lines 343--350 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (89.01382pt too wide) in paragraph at lines 343--350 \OT1/cmr/m/n/10 12 [][]$ [] Overfull \hbox (50.53212pt too wide) in paragraph at lines 343--350 []\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) +[] [] Overfull \hbox (39.79597pt too wide) in paragraph at lines 343--350 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) +[] [] Overfull \hbox (30.02084pt too wide) in paragraph at lines 343--350 \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (36.15288pt too wide) in paragraph at lines 343--350 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 2) \OMS/ cmsy/m/n/10 ^^@ [] Overfull \hbox (41.1529pt too wide) in paragraph at lines 343--350 \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cm r/m/n/10 1) + [] Overfull \hbox (45.59454pt too wide) in paragraph at lines 343--350 \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 F [] \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (20.59727pt too wide) in paragraph at lines 343--350 \OML/cmm/m/it/10 F\OT1/cmr/m/n/10 (0)[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 343--350 \OT1/cmr/m/n/10 = [] Overfull \hbox (46.70839pt too wide) in paragraph at lines 343--350 \OT1/cmr/m/n/10 12 [][] + [] Overfull \hbox (40.04175pt too wide) in paragraph at lines 343--350 [][]$ [] ! LaTeX Error: Environment exo undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.351 \begin{exo} [2]{Limite d'une somme} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no L in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no M in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 351--353 [] [] ! Undefined control sequence. l.354 \forall\lambda\geqslant 0,\ \lim_{n\to+\infty}\left(\frac{\lambda}{n}\... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.354 ...\left(\frac{\lambda}{n}\sum_{k=0}^{n-1}\e ^{k\frac{\lambda}{n}} \rig... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Double superscript. l.354 ...left(\frac{\lambda}{n}\sum_{k=0}^{n-1}\e^ {k\frac{\lambda}{n}} \righ... I treat `x^1^2' essentially like `x^1{}^2'. ! Undefined control sequence. l.354 ...}^{n-1}\e^{k\frac{\lambda}{n}} \right)=\e ^{\lambda}-1 The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (135.35342pt too wide) detected at line 355 \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 ^^U\OT1/cmr/m/n/10 0\OML/cmm/m/it/10 ; [] [ ] \OT1/cmr/m/n/10 =[] \OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1 [] ! LaTeX Error: \begin{document} ended by \end{exo}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.356 \end{exo} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment correction undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.357 \begin{correction} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no P in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! ! Undefined control sequence. l.358 Posons $f(x)=\e ^x$ définie sur $[0;\lambda]$, où $\lambda\geqslant 0$.\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no ù in font nullfont! ! Undefined control sequence. l.358 ...e sur $[0;\lambda]$, où $\lambda\geqslant 0$.\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no S in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no ê in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. \dfrac l.360 Alors, $\dfrac {\lambda}{n}\e^{k\frac{\lambda}{n}}$ est l'aire du recta... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.360 Alors, $\dfrac{\lambda}{n}\e ^{k\frac{\lambda}{n}}$ est l'aire du recta... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.360 ... est l'aire du rectangle de base $k\dfrac {\lambda}{n}$ et de hauteu... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! ! Undefined control sequence. \e l.360 ...e $k\dfrac{\lambda}{n}$ et de hauteur $\e ^{k\frac{\lambda}{n}}$ : The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no : in font nullfont! Overfull \hbox (35.05557pt too wide) in paragraph at lines 355--361 $\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) =[]$ [] Overfull \hbox (20.83336pt too wide) in paragraph at lines 355--361 \OT1/cmr/m/n/10 [0; \OML/cmm/m/it/10 ^^U\OT1/cmr/m/n/10 ]$ [] Overfull \hbox (10.83337pt too wide) in paragraph at lines 355--361 \OML/cmm/m/it/10 ^^U\OT1/cmr/m/n/10 0$ [] Overfull \hbox (20.83336pt too wide) in paragraph at lines 355--361 \OT1/cmr/m/n/10 [0; \OML/cmm/m/it/10 ^^U\OT1/cmr/m/n/10 ]$ [] Overfull \hbox (6.00235pt too wide) in paragraph at lines 355--361 \OML/cmm/m/it/10 n$ [] Overfull \hbox (23.55986pt too wide) in paragraph at lines 355--361 \OML/cmm/m/it/10 ^^Un[]$ [] Overfull \hbox (17.35655pt too wide) in paragraph at lines 355--361 \OML/cmm/m/it/10 k^^Un$ [] Overfull \hbox (11.72415pt too wide) in paragraph at lines 355--361 []$ [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.362 \begin{tikzpicture} [xscale=2,yscale=0.5] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ] in font nullfont! ! Missing number, treated as zero. [ l.363 \fill[ top color=bleu,bottom color=bleu!20] (1,0) rectangle (1.5,{exp(1... A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). [ l.363 \fill[ top color=bleu,bottom color=bleu!20] (1,0) rectangle (1.5,{exp(1... Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.364 \draw [thick,->,>=stealth'] (-1,0) -- (3,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.365 \draw [thick,->,>=stealth'] (0,-1) -- (0,10); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.366 \clip (-1,-2) rectangle (3,10); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.367 \draw [thick,bleu] plot[domain=0:3] (\x,{exp(\x)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.367 \draw[thick,bleu] plot[domain=0:3] (\x ,{exp(\x)}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.367 ...[thick,bleu] plot[domain=0:3] (\x,{exp(\x )}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.368 \draw [thick] (2,0.2) -- (2,-0.2) node[below] {$\lambda$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.369 \foreach \x in {0.5,1,1.5} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.369 \foreach \x in {0.5,1,1.5} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! ! Undefined control sequence. l.371 \draw [thick] (\x,0.2) -- (\x,-0.2); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no k in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.371 \draw[thick] (\x ,0.2) -- (\x,-0.2); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.371 \draw[thick] (\x,0.2) -- (\x ,-0.2); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.373 \node [below] at (1.25,0) {$\frac{\lambda}{n}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.374 \draw [dashed] (0,{exp(1)}) node[left] {$\e^{k\frac{\lambda}{n}}$} -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. \e l.374 \draw[dashed] (0,{exp(1)}) node[left] {$\e ^{k\frac{\lambda}{n}}$} -- (... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 361 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.375 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (5.83336pt too wide) in paragraph at lines 362--376 \OML/cmm/m/it/10 ^^U$ [] Overfull \hbox (7.34332pt too wide) in paragraph at lines 362--376 []$ [] Overfull \hbox (11.72415pt too wide) in paragraph at lines 362--376 []$ [] Missing character: There is no A in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.378 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.379 \lim _{n\to+\infty}\left(\frac{\lambda}{n}\sum_{k=0}^{n-1}\e^{k\frac{\l... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Undefined control sequence. l.379 ...\left(\frac{\lambda}{n}\sum_{k=0}^{n-1}\e ^{k\frac{\lambda}{n}} \rig... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Double superscript. l.379 ...left(\frac{\lambda}{n}\sum_{k=0}^{n-1}\e^ {k\frac{\lambda}{n}} \righ... I treat `x^1^2' essentially like `x^1{}^2'. ! Misplaced alignment tab character &. l.379 ...0}^{n-1}\e^{k\frac{\lambda}{n}} \right) & = \int_0^\lambda \e^x\dx\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.379 ...lambda}{n}} \right) & = \int_0^\lambda \e ^x\dx\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Double superscript. l.379 ...ambda}{n}} \right) & = \int_0^\lambda \e^ x\dx\\ I treat `x^1^2' essentially like `x^1{}^2'. ! Undefined control sequence. l.379 ...a}{n}} \right) & = \int_0^\lambda \e^x\dx \\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.380 & = \left[\e^x\right]_0^\lambda\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.380 & = \left[\e ^x\right]_0^\lambda\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Misplaced alignment tab character &. & l.381 & =\e^{\lambda}-1 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Undefined control sequence. l.381 & =\e ^{\lambda}-1 The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.382 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.382 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \begin{document} ended by \end{correction}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.383 \end{correction} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (114.21805pt too wide) in paragraph at lines 377--384 $[][] [] \OT1/cmr/m/n/10 = [] Overfull \hbox (18.6111pt too wide) in paragraph at lines 377--384 [][] [][] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 377--384 \OT1/cmr/m/n/10 = [] Overfull \hbox (17.5pt too wide) in paragraph at lines 377--384 [][] [] [] Overfull \hbox (13.02087pt too wide) in paragraph at lines 377--384 \OT1/cmr/m/n/10 =[] [] Overfull \hbox (12.77782pt too wide) in paragraph at lines 377--384 \OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1$ [] ! LaTeX Error: Environment exo undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.385 \begin{exo} [3]{Constante d'Euler} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no C in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no E in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no è in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \suite l.386 On considère la suite $\suite {\gamma}{n}{n\in\mathbb{N}^*}$ définie par : The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.386 ...e la suite $\suite{\gamma}{n}{n\in\mathbb {N}^*}$ définie par : The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 385--387 [] [] Overfull \hbox (43.68185pt too wide) in paragraph at lines 385--387 \OML/cmm/m/it/10 ^^Mn[]$ [] Overfull \hbox (71.86667pt too wide) detected at line 389 \OML/cmm/m/it/10 ^^M[] \OT1/cmr/m/n/10 = [] [] \OMS/cmsy/m/n/10 ^^@ [] \OML/cmm /m/it/10 n [] Missing character: There is no M in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no z in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{exo}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.391 \end{exo} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment correction undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.392 \begin{correction} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no P in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! ! Undefined control sequence. l.393 Posons $f(x)=\dfrac {1}{x}$. On a : The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no . in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (30.02084pt too wide) in paragraph at lines 389--394 $\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (10.71529pt too wide) in paragraph at lines 389--394 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 x$ [] ! Undefined control sequence. l.395 \forall k\in\mathbb {N}^*,\ \frac{1}{k+1}<\int_k^{k+1}f(x)\text{d}x < \... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.395 ...}^*,\ \frac{1}{k+1}<\int_k^{k+1}f(x)\text {d}x < \frac{1}{k} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (158.29272pt too wide) detected at line 396 \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 k \OMS/cmsy/m/n/10 2 \OML/cmm/m/it/10 N[]; [] < [][] f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 dx < [] [] Missing character: There is no P in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! ! LaTeX Error: Environment multicols undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.399 \begin{multicols} {2} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no 2 in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 399--400 [] [] ! LaTeX Error: Environment tikzpicture undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.401 \begin{tikzpicture} [>=stealth'] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. l.402 \draw [->] (-.25,0) -- (6,0); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.403 \draw [->] (0,-.25) -- (0,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no > in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.404 \clip (-.25,-2) rectangle (6,3); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ( in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 6 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Missing number, treated as zero. [ l.405 \fill[ bottom color=ciel,top color=bleu] (2,0) -- (2,0.5) plot[domain=2... A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). [ l.405 \fill[ bottom color=ciel,top color=bleu] (2,0) -- (2,0.5) plot[domain=2... Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.405 ...eu] (2,0) -- (2,0.5) plot[domain=2:4] (\x ,{1/\x}) -- (4,0) -- (2,0)... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no / in font nullfont! ! Undefined control sequence. l.405 ...,0) -- (2,0.5) plot[domain=2:4] (\x,{1/\x }) -- (4,0) -- (2,0) -- cy... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.406 \draw plot[domain=0.01:9,samples=100] (\x,{1/\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no 9 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.406 \draw plot[domain=0.01:9,samples=100] (\x ,{1/\x}); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no / in font nullfont! ! Undefined control sequence. l.406 ...plot[domain=0.01:9,samples=100] (\x,{1/\x }); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.407 \draw [chapitre] (2,0) rectangle +(2,0.5); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.408 \draw [theoreme] (2,0) rectangle +(2,0.25); The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.409 \draw [chapitre,<-] (3,0.5) to[bend left=30] (4,1) node[right] {$\dfrac... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no < in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. \dfrac l.409 ...[bend left=30] (4,1) node[right] {$\dfrac {1}{k}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! Undefined control sequence. l.410 \draw [theoreme,<-] (3,0) to[bend right=30] (4,-0.5) node[right] {$\dfr... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no < in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 3 in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 4 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no [ in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no ] in font nullfont! ! Undefined control sequence. \dfrac l.410 ...d right=30] (4,-0.5) node[right] {$\dfrac {1}{k+1}$}; The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! ! LaTeX Error: \begin{center} on input line 400 ended by \end{tikzpicture}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.411 \end{tikzpicture} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (10.52086pt too wide) in paragraph at lines 401--412 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 k$ [] Overfull \hbox (27.74301pt too wide) in paragraph at lines 401--412 \OT1/cmr/m/n/10 1[]$ [] Missing character: There is no L in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.414 La partie colorée (\tikz \fill[bottom color=ciel,top color=bleu] (0,0) ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Missing number, treated as zero. [ l.414 La partie colorée (\tikz\fill[ bottom color=ciel,top color=bleu] (0,0) ... A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). [ l.414 La partie colorée (\tikz\fill[ bottom color=ciel,top color=bleu] (0,0) ... Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no [ in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ] in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no + in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ; in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.414 ...ente $\displaystyle\int_k^{k+1} f(x)\text {d}x$ ; elle est \og encad... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ; in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! ! Undefined control sequence. l.414 ...int_k^{k+1} f(x)\text{d}x$ ; elle est \og encadrée \fg{} par les de... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.414 ...(x)\text{d}x$ ; elle est \og encadrée \fg {} par les deux rectangles... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{multicols}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.415 \end{multicols} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (20.0pt too wide) in paragraph at lines 414--416 [] [] Overfull \hbox (57.09732pt too wide) in paragraph at lines 414--416 [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )\OML /cmm/m/it/10 dx$ [] Overfull \hbox (5.52084pt too wide) in paragraph at lines 414--416 \OML/cmm/m/it/10 k$ [] Overfull \hbox (13.29865pt too wide) in paragraph at lines 414--416 \OML/cmm/m/it/10 k \OT1/cmr/m/n/10 + [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 414--416 \OT1/cmr/m/n/10 1$ [] Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 417--418 [] [] Overfull \hbox (5.52084pt too wide) in paragraph at lines 417--418 \OML/cmm/m/it/10 k$ [] ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.419 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Misplaced alignment tab character &. l.420 & \frac{1}{k+1} < \ln(k+1)-\ln(k) < \frac{1}{k}\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. Missing character: There is no 1 in font nullfont! ! Missing $ inserted. $ l.420 & \frac{1}{k+1} < \ln(k+1)-\ln(k) < \frac{1}{k}\\ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \frac #1#2->{\begingroup #1\endgroup \over #2} l.420 & \frac{1}{k+1} < \ln(k+1)-\ln(k) < \frac{1}{k}\\ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. ! Misplaced alignment tab character &. l.421 \Leftrightarrow\ & \sum_{k=1}^n \frac{1}{k+1} < \sum_{k=1}^n \left(\ln... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.422 \Leftrightarrow\ & \sum_{k=1}^{n+1}\frac{1}{k}-1<\ln(n+1)<\sum_{k=1}^{... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.423 \Leftrightarrow\ & -1<\ln(n+1)-\sum_{k=1}^{n+1}< -\frac{1}{n+1}\\ I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.424 \Leftrightarrow\ & 0 < \frac{1}{n+1}<\gamma_{n+1}<1 I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.425 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.425 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing } inserted. } l.425 \end{align*} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Overfull \hbox (600.63754pt too wide) in paragraph at lines 420--426 []$[]$ [] Missing character: There is no A in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! ! Undefined control sequence. \suite l.427 Ainsi, $\suite {\gamma}{n}{n\in\mathbb{N}}$ est bornée.\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.427 Ainsi, $\suite{\gamma}{n}{n\in\mathbb {N}}$ est bornée.\\ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no , in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 427--429 [] [] Overfull \hbox (39.08463pt too wide) in paragraph at lines 427--429 \OML/cmm/m/it/10 ^^Mn[]$ [] Overfull \hbox (136.22641pt too wide) detected at line 431 \OML/cmm/m/it/10 ^^M[] \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 ^^M[] \OT1/cmr/m/n /10 = [] + [] [] [] Missing character: There is no L in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (5.12846pt too wide) in paragraph at lines 431--433 $\OML/cmm/m/it/10 g$ [] Overfull \hbox (115.12967pt too wide) detected at line 435 \OML/cmm/m/it/10 g\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] + [ ] [] [] Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no D in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (32.77782pt too wide) in paragraph at lines 435--437 $\OT1/cmr/m/n/10 [1; +\OMS/cmsy/m/n/10 1\OT1/cmr/m/n/10 [$ [] Overfull \hbox (57.8704pt too wide) in paragraph at lines 435--437 [] \OML/cmm/m/it/10 g\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 435--437 \OT1/cmr/m/n/10 0$ [] Overfull \hbox (29.17705pt too wide) in paragraph at lines 435--437 \OML/cmm/m/it/10 g\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) \OML/cmm /m/it/10 < [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 435--437 \OT1/cmr/m/n/10 0$ [] Overfull \hbox (32.77782pt too wide) in paragraph at lines 435--437 \OT1/cmr/m/n/10 [1; +\OMS/cmsy/m/n/10 1\OT1/cmr/m/n/10 [$ [] Missing character: There is no A in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no , in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 440--441 [] [] Overfull \hbox (57.47736pt too wide) detected at line 441 \OML/cmm/m/it/10 ^^M[] \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 ^^M[] < \OT1/cmr/m /n/10 0 [] Missing character: There is no L in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. \suite l.442 La suite $\suite {\gamma}{n}{n\in\mathbb{N}}$ est donc décroissante, do... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! Undefined control sequence. l.442 La suite $\suite{\gamma}{n}{n\in\mathbb {N}}$ est donc décroissante, do... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no q in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (39.08463pt too wide) in paragraph at lines 441--443 $\OML/cmm/m/it/10 ^^Mn[]$ [] Missing character: There is no C in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! ! Undefined control sequence. l.446 Cette limite est appelée la \exergue {constante d'Euler}, et est notée ... The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no ' in font nullfont! Missing character: There is no E in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no é in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no O in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no j in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no U in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no x in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 446--448 [] [] Overfull \hbox (5.73285pt too wide) in paragraph at lines 446--448 \OML/cmm/m/it/10 ^^M$ [] Overfull \hbox (5.73285pt too wide) in paragraph at lines 446--448 \OML/cmm/m/it/10 ^^M$ [] ! Undefined control sequence. l.449 \gamma\approx\np {0,577215664901532860606512090082402431042159335939923} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Overfull \hbox (283.51128pt too wide) detected at line 450 \OML/cmm/m/it/10 ^^M \OMS/cmsy/m/n/10 ^^Y [] [] ! LaTeX Error: \begin{document} ended by \end{correction}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.451 \end{correction} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: The font size command \normalsize is not defined: there is probably something wrong with the class file. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.452 \newpage Your command was ignored. Type I to replace it with another command, or to continue without it. [3] ! Undefined control sequence. l.454 \AfficheCorrections The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ) ! Emergency stop. <*> 02.tex *** (job aborted, no legal \end found) Here is how much of TeX's memory you used: 32 strings out of 494993 328 string characters out of 3179589 66176 words of memory out of 3000000 3329 multiletter control sequences out of 15000+200000 3640 words of font info for 14 fonts, out of 3000000 for 9000 36 hyphenation exceptions out of 8191 18i,7n,12p,313b,129s stack positions out of 5000i,500n,10000p,200000b,50000s ! ==> Fatal error occurred, no output PDF file produced!