This is XeTeX, Version 3.14159265-2.6-0.99999 (TeX Live 2018/W32TeX) (preloaded format=xelatex 2020.4.1) 5 APR 2020 00:51 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **chapter1.tex (./chapter1.tex LaTeX2e <2018-04-01> patch level 2 Babel <3.18> and hyphenation patterns for 84 language(s) loaded. ! Undefined control sequence. l.1 \chapter {تعاریف و مفاهیم اولیه} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (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{ت عاریف و مفاهیم اولیه} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 1--3 [] [] ! 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.3 \newpage Your command was ignored. Type I to replace it with another command, or to continue without it. [1] ! Missing $ inserted. $ l.4 \left ( \right) در این فصل تعاریف و قضیه‌های لازم را بیان میکنند که در اد... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.4 \left ( \right) در این فصل تعاریف و قضیه‌های لازم را بیان میکنند که در اد... You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. 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. l.7 \section {تعاریف اولیه} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (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.8 \subsection {جبرهای تقریباً جابه‌جایی} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (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: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.9 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing \endgroup inserted. \endgroup l.11 $ V$ 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 د in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ص in font cmmi10! Missing character: There is no ل in font cmmi10! Missing character: There is no ت in font cmmi10! Missing character: There is no ع in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ق in font cmmi10! Missing character: There is no ض in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ‌ in font cmr10! Missing character: There is no ه in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ل in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ز in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ک in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ک in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no س in font cmmi10! Missing character: There is no ت in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ق in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no خ in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no گ in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ت in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no س in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ت in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no س in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no پ in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no ‌ in font cmr10! Missing character: There is no ن in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ض in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ج in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ع in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no خ in font cmmi10! Missing character: There is no ت in font cmmi10! Missing character: There is no ل in font cmmi10! Missing character: There is no ط in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no ظ in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no گ in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ت in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ش in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ، in font cmr10! Missing character: There is no م in font cmmi10! Missing character: There is no گ in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no خ in font cmmi10! Missing character: There is no ل in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no آ in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ض in font cmmi10! Missing character: There is no ش in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ت in font cmmi10! Missing character: There is no ع in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ل in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ج in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ت in font cmmi10! Missing character: There is no ق in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ً in font cmmi10! Missing character: There is no ج in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ‌ in font cmr10! Missing character: There is no ج in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ض in font cmmi10! Missing character: There is no ک in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no V in font nullfont! Missing character: There is no ی in font cmmi10! Missing character: There is no ک in font cmmi10! Missing character: There is no ف in font cmmi10! Missing character: There is no ض in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no K in font nullfont! Missing character: There is no و in font cmmi10! Missing character: There is no G in font nullfont! Missing character: There is no ی in font cmmi10! Missing character: There is no ک in font cmmi10! Missing character: There is no گ in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no آ in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ل in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ج in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no ع in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ب in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ش in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ک in font cmmi10! Missing character: There is no م in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ر in font cmmi10! Missing character: There is no ج in font cmmi10! Missing character: There is no ‌ in font cmr10! Missing character: There is no س in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ز in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ز in font cmmi10! Missing character: There is no V in font nullfont! Missing character: There is no ب in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no ‌ in font cmr10! Missing character: There is no و in font cmmi10! Missing character: There is no س in font cmmi10! Missing character: There is no ی in font cmmi10! Missing character: There is no ل in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no G in font nullfont! Missing character: There is no ی in font cmmi10! Missing character: There is no ک in font cmmi10! Missing character: There is no خ in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no ن in font cmmi10! Missing character: There is no و in font cmmi10! Missing character: There is no ا in font cmmi10! Missing character: There is no د in font cmmi10! Missing character: There is no ه in font cmmi10! Missing character: There is no V in font nullfont! ! Missing $ inserted. $ l.21 $\big\{V_ {a}\big\}_{a\in G}$ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Overfull \hbox (32.22221pt too wide) in paragraph at lines 4--31 []$[] \OML/cmm/m/it/10 :[] [] Overfull \hbox (38.51247pt too wide) in paragraph at lines 4--31 \OML/cmm/m/it/10 :[][]$$$$$$:$$$$$[]$[][][]$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 4--31 \OML/cmm/m/it/10 V$ [] Overfull \hbox (18.61107pt too wide) in paragraph at lines 4--31 \OML/cmm/m/it/10 V \OT1/cmr/m/n/10 = [] Overfull \hbox (28.29013pt too wide) in paragraph at lines 4--31 [] \OML/cmm/m/it/10 V[]$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 4--31 \OML/cmm/m/it/10 V$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 4--31 \OML/cmm/m/it/10 G$ [] Overfull \hbox (14.73029pt too wide) in paragraph at lines 4--31 \OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 4--31 \OML/cmm/m/it/10 G$ [] ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.32 ر ا عضو همگن از درجه You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no آ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.41 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Extra \endgroup. \endgroup l.41 \end{definition} Things are pretty mixed up, but I think the worst is over. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.42 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.53 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment remark undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.54 \begin{remark} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no آ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no پ in font nullfont! Missing character: There is no ذ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ( in font nullfont! ! Undefined control sequence. l.62 ($K=\mathbb {R}$ The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! ! Undefined control sequence. l.64 $K=\mathbb {C}$) 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 ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ؛ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ظ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د 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.74 \begin{align*} 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 ( in font nullfont! Missing character: There is no a 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 , in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no ) in font nullfont! ! Misplaced alignment tab character &. l.75 P(a+b,c)& =P(a,c)P(b,c),\ \ P(a,b)=P(b,a)^{-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. Missing character: There is no = 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 a 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 ) 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 b 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 ) 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 ( in font nullfont! Missing character: There is no a 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 ) 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 ( in font nullfont! Missing character: There is no b 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 ) in font nullfont! ! Missing $ inserted. $ l.75 P(a+b,c)&=P(a,c)P(b,c),\ \ P(a,b)=P(b,a)^ {-1} \\ 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.76 P(a,b)& \neq 0,\ \ P(0,b)=1,\ \ P(c,c)=\pm 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.77 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.77 \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{remark}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.78 \end{remark} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.79 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د 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.93 \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! ! Missing $ inserted. $ l.94 [\cdot ,\cdot]P:A\times A&\longrightarrow 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.94 [\cdot,\cdot]P:A\times A& \longrightarrow A, \\ 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.95 (f,g)& \rightarrow[f,g]P:=fg-P(\vert f\vert,\vert g\vert)gf 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.96 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.96 \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{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.97 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment attention undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.98 \begin{attention} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ا in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no آ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{attention}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.106 \end{attention} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment lemma undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.107 \begin{lemma} \label{le01} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 32--110 [] [] Overfull \hbox (5.28589pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 a$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 F$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 F$ [] Overfull \hbox (13.37503pt too wide) in paragraph at lines 32--110 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 F\OMS/cmsy/m/n/10 j$ [] Overfull \hbox (9.20833pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 K$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A$ [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] Overfull \hbox (29.66972pt too wide) in paragraph at lines 32--110 [] \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (23.46635pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 a; b \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.54167pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 Z$ [] Overfull \hbox (34.40985pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A[]A[] \OMS/cmsy/m/n/10 ^^Z [] Overfull \hbox (21.99324pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 G$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 G$ [] Overfull \hbox (19.76384pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 K \OT1/cmr/m/n/10 = [] Overfull \hbox (7.67015pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 R$ [] Overfull \hbox (19.76384pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 K \OT1/cmr/m/n/10 = [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 C$ [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] Overfull \hbox (29.95682pt too wide) in paragraph at lines 32--110 [] \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (34.40985pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A[]A[] \OMS/cmsy/m/n/10 ^^Z [] Overfull \hbox (21.99324pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (23.46635pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 a; b \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 G$ [] Overfull \hbox (13.36453pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 P \OT1/cmr/m/n/10 : [] Overfull \hbox (15.64029pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 G \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (26.75139pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 G [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (9.20833pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 K$ [] Overfull \hbox (10.73615pt too wide) in paragraph at lines 32--110 [][] [] Overfull \hbox (40.1643pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a; b\OT1/cmr/m/n/10 ) \OMS/ cmsy/m/n/10 6\OT1/cmr/m/n/10 = [] Overfull \hbox (49.32286pt too wide) in paragraph at lines 32--110 \OT1/cmr/m/n/10 0\OML/cmm/m/it/10 ; P\OT1/cmr/m/n/10 (0\OML/cmm/m/it/10 ; b\O T1/cmr/m/n/10 ) = [] Overfull \hbox (48.68631pt too wide) in paragraph at lines 32--110 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 ; P\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 c; c\O T1/cmr/m/n/10 ) = [] Overfull \hbox (15.5556pt too wide) in paragraph at lines 32--110 \OMS/cmsy/m/n/10 ^^F\OT1/cmr/m/n/10 1\OML/cmm/m/it/10 :$ [] Overfull \hbox (7.81946pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 F$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 G$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 P$ [] Overfull \hbox (5.97226pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 f$ [] Overfull \hbox (5.12846pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 g$ [] Overfull \hbox (26.1423pt too wide) in paragraph at lines 32--110 \OMS/cmsy/m/n/10 ^^A\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 ^^A\OT1/cmr/m/n/10 ]\OM L/cmm/m/it/10 P \OT1/cmr/m/n/10 : [] Overfull \hbox (15.27782pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (26.38892pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (11.94443pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 A; [] [] Overfull \hbox (35.5451pt too wide) in paragraph at lines 32--110 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 f; g\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ! [] Overfull \hbox (41.68748pt too wide) in paragraph at lines 32--110 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 f; g\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 P \OT1/ cmr/m/n/10 := [] Overfull \hbox (18.87852pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 fg \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (53.34384pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 f\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 g\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 gf$ [] Overfull \hbox (7.95831pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 E$ [] Overfull \hbox (7.95831pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 E$ [] Overfull \hbox (28.70107pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 H[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 E\OT1/cmr/m/n/10 )$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 32--110 \OML/cmm/m/it/10 P$ [] Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ، in font nullfont! Overfull \hbox (23.46635pt too wide) in paragraph at lines 112--116 \OML/cmm/m/it/10 a; b \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 112--116 \OML/cmm/m/it/10 G$ [] Overfull \hbox (52.21887pt too wide) in paragraph at lines 112--116 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 A[]; A[]\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 P \ OMS/cmsy/m/n/10 ^^Z [] Overfull \hbox (21.99324pt too wide) in paragraph at lines 112--116 \OML/cmm/m/it/10 A[]$ [] Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ، in font nullfont! Overfull \hbox (24.43398pt too wide) in paragraph at lines 116--120 \OML/cmm/m/it/10 f; g \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 116--120 \OML/cmm/m/it/10 A$ [] Overfull \hbox (38.9097pt too wide) in paragraph at lines 116--120 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 f; g\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 P \OT1/ cmr/m/n/10 = [] Overfull \hbox (78.93066pt too wide) in paragraph at lines 116--120 \OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/c mm/m/it/10 f\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/i t/10 g\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )[\OML/cmm/m/it/10 g; f\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 P$ [] Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! 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Overfull \hbox (34.63997pt too wide) in paragraph at lines 120--122 \OML/cmm/m/it/10 f; g; h \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 120--122 \OML/cmm/m/it/10 A$ [] Overfull \hbox (360.69019pt too wide) detected at line 122 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 f\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 h\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )[][]\OML/cmm/m/it/10 f; \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 g; h\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 P[]P \OT1/cmr/m/n/10 + \OML/cmm/m/it/10 P \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 g\OMS/cmsy/m/n/10 j\OML/cmm /m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 f\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/1 0 )[][]\OML/cmm/m/it/10 g; \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 h; f\OT1/cmr/m/n/1 0 ]\OML/cmm/m/it/10 P[]P \OT1/cmr/m/n/10 + \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\ OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 h\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cm sy/m/n/10 j\OML/cmm/m/it/10 g\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )[][]\OML/cmm/m/ it/10 h; \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 f; g\OT1/cmr/m/n/10 ]\OML/cmm/m/it/1 0 P[]P \OT1/cmr/m/n/10 = 0\OML/cmm/m/it/10 : [] ! LaTeX Error: \begin{document} ended by \end{lemma}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.124 \end{lemma} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.125 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ف in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! 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Missing character: There is no ر in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no م in font nullfont! ! Undefined control sequence. ...ing: Reference `le01' on page \thepage \space undefined\on@line .^^J l.139 \ref{le01} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (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 Warning: Reference `le01' on page undefined on input line 139. Missing character: There is no ص in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.141 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. 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[] Overfull \hbox (6.80557pt too wide) in paragraph at lines 126--159 \OML/cmm/m/it/10 L$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 126--159 \OML/cmm/m/it/10 P$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 126--159 \OT1/cmr/m/n/10 1$ [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 126--159 \OT1/cmr/m/n/10 3$ [] Overfull \hbox (10.86pt too wide) in paragraph at lines 126--159 [] [] Overfull \hbox (14.62492pt too wide) in paragraph at lines 126--159 \OML/cmm/m/it/10 X \OT1/cmr/m/n/10 : [] Overfull \hbox (26.38892pt too wide) in paragraph at lines 126--159 \OML/cmm/m/it/10 A [][]\OMS/cmsy/m/n/10 ! 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Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.172 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.173 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no - in font nullfont! 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Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no گ in font nullfont! 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Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! 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LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.197 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment point undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.198 \begin{point} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! 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Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Overfull \hbox (10.79166pt too wide) in paragraph at lines 196--206 $\OML/cmm/m/it/10 M$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 196--206 \OML/cmm/m/it/10 G$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 196--206 \OML/cmm/m/it/10 P$ [] Overfull \hbox (130.15955pt too wide) detected at line 206 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 f \OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 = \OMS/ cmsy/m/n/10 j\OML/cmm/m/it/10 f\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 + \OMS/cmsy/m /n/10 j\OML/cmm/m/it/10 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; f \OMS/cmsy/m/n/ 10 2 \OML/cmm/m/it/10 A; \OMS/cmsy/m/n/10 2 \OML/cmm/m/it/10 M; [] Missing character: There is no ل in font nullfont! Missing character: There is no ذ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! 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LaTeX Error: \begin{document} ended by \end{point}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.223 \end{point} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.224 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Overfull \hbox (14.62492pt too wide) in paragraph at lines 222--232 $\OML/cmm/m/it/10 X \OT1/cmr/m/n/10 : [] Overfull \hbox (26.38892pt too wide) in paragraph at lines 222--232 \OML/cmm/m/it/10 A [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 222--232 \OML/cmm/m/it/10 A$ [] Overfull \hbox (12.77782pt too wide) in paragraph at lines 222--232 \OT1/cmr/m/n/10 2 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 222--232 \OML/cmm/m/it/10 P$ [] Overfull \hbox (31.24416pt too wide) in paragraph at lines 222--232 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a; b\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 2 [] Overfull \hbox (15.64029pt too wide) in paragraph at lines 222--232 \OML/cmm/m/it/10 G \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 222--232 \OML/cmm/m/it/10 G$ [] Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (9.06943pt too wide) in paragraph at lines 234--241 \OML/cmm/m/it/10 X$ [] Overfull \hbox (12.09724pt too wide) in paragraph at lines 234--241 \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (19.87505pt too wide) in paragraph at lines 234--241 \OML/cmm/m/it/10 A[] \OT1/cmr/m/n/10 + [] Overfull \hbox (4.29166pt too wide) in paragraph at lines 234--241 \OML/cmm/m/it/10 b$ [] Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Overfull \hbox (227.27888pt too wide) detected at line 242 \OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 ^^A \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 fg\OT 1/cmr/m/n/10 ) = (\OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 ^^A \OML/cmm/m/it/10 f\OT 1/cmr/m/n/10 )\OML/cmm/m/it/10 g \OT1/cmr/m/n/10 + \OML/cmm/m/it/10 P\OT1/cmr/m /n/10 (\OML/cmm/m/it/10 a; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 f\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X \OMS/c msy/m/n/10 ^^A \OML/cmm/m/it/10 g\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 ; \OT1/cmr/ m/n/10 (\OML/cmm/m/it/10 f \OMS/cmsy/m/n/10 2 \OML/cmm/m/it/10 A[]; g \OMS/cmsy /m/n/10 2 \OML/cmm/m/it/10 A\OT1/cmr/m/n/10 ) [] Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.245 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.246 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no چ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.252 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.253 \alpha _{P}:X(P-Der A)&\longrightarrow 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.253 \alpha_{P}:X(P-Der A)& \longrightarrow A, \\ 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.254 (X_{1},X_{2},\cdots,X_{n})& \rightarrow\alpha_{P}(X_{1},X_{2},\cdots,X_... 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.255 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.255 \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 ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ؛ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.259 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.260 \alpha _{P}(fX_{1},\cdots,X_{P})&=f\alpha_{P}(X_{1},\cdots,X_{P}), \\ 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.260 \alpha_{P}(fX_{1},\cdots,X_{P})& =f\alpha_{P}(X_{1},\cdots,X_{P}), \\ 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.261 ..._{1},\cdots,X_{j}f,X_{j+1},\cdots,X_{P})& =\alpha_{P}(X_{1},\cdots,X... 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.262 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.262 \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 ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no چ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ؛ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ، in font nullfont! Overfull \hbox (7.80904pt too wide) in paragraph at lines 247--271 $\OML/cmm/m/it/10 P$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 A$ [] Overfull \hbox (18.62022pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 ^^K[] \OT1/cmr/m/n/10 : [] Overfull \hbox (28.54517pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 X\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (48.2804pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 DerA\OT1/cmr/m/n/10 ) [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (11.94443pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 A; [] [] Overfull \hbox (86.49178pt too wide) in paragraph at lines 247--271 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; X[]; [] ; X[]\OT1/cmr/m/n/10 ) \OMS/cmsy /m/n/10 ! [] Overfull \hbox (86.77878pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; X[]; [] ; X[]\OT1/ cmr/m/n/10 )$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 A$ [] Overfull \hbox (87.31566pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 fX[]; [] ; X[]\OT1/cmr/ m/n/10 ) = [] Overfull \hbox (81.20456pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 f^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]\OT1/cmr/ m/n/10 )\OML/cmm/m/it/10 ; [] [] Overfull \hbox (148.5482pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]f; X[]; [] ; X[]\OT1/cmr/m/n/10 ) = [] Overfull \hbox (141.32603pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]; fX[]; [] ; X[]\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 :$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 P$ [] Overfull \hbox (15.246pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 j \OT1/cmr/m/n/10 = [] Overfull \hbox (42.80891pt too wide) in paragraph at lines 247--271 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 ; [] ; P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (9.21358pt too wide) in paragraph at lines 247--271 \OT1/cmr/m/n/10 1[]$ [] Overfull \hbox (22.64929pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 X[] \OMS/cmsy/m/n/10 2 [] Overfull \hbox (15.58684pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (25.5026pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 DerA$ [] Overfull \hbox (16.07635pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 k \OT1/cmr/m/n/10 = [] Overfull \hbox (35.03111pt too wide) in paragraph at lines 247--271 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 ; [] ; P$ [] Overfull \hbox (15.41666pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 f \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 247--271 \OML/cmm/m/it/10 A$ [] Overfull \hbox (355.30481pt too wide) detected at line 271 \OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]; X[]; [] ; X[]\OT1/cmr/m/n/10 ) = \OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OM S/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm/ m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]; X[]; [] ; X[]\OT1 /cmr/m/n/10 )\OML/cmm/m/it/10 ; [] Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no چ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no آ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Overfull \hbox (15.04169pt too wide) in paragraph at lines 271--288 $\OML/cmm/m/it/10 Xf$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 271--288 \OML/cmm/m/it/10 A$ [] Overfull \hbox (15.58684pt too wide) in paragraph at lines 271--288 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (25.5026pt too wide) in paragraph at lines 271--288 \OML/cmm/m/it/10 DerA$ [] Overfull \hbox (22.9618pt too wide) in paragraph at lines 271--288 \OML/cmm/m/it/10 ^^Kf \OT1/cmr/m/n/10 = [] Overfull \hbox (56.8323pt too wide) in paragraph at lines 271--288 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 \OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 f\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 f $ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 271--288 \OML/cmm/m/it/10 P$ [] Overfull \hbox (29.16776pt too wide) in paragraph at lines 271--288 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (37.54169pt too wide) in paragraph at lines 271--288 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 ) = [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 271--288 \OML/cmm/m/it/10 A$ [] Overfull \hbox (96.90332pt too wide) detected at line 288 \OT1/cmr/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 ; [] Missing character: There is no و in font nullfont! Overfull \hbox (134.63565pt too wide) detected at line 290 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 DerA\ OT1/cmr/m/n/10 ) = [](\OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 DerA[]\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 ; [] Missing character: There is no ل in font nullfont! Missing character: There is no ذ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.304 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.305 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Overfull \hbox (7.80904pt too wide) in paragraph at lines 290--313 $\OML/cmm/m/it/10 P$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 290--313 \OML/cmm/m/it/10 G$ [] Overfull \hbox (29.16776pt too wide) in paragraph at lines 290--313 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 290--313 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 290--313 \OML/cmm/m/it/10 G$ [] Overfull \hbox (29.17581pt too wide) in paragraph at lines 290--313 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ^^K[]\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 = [] Overfull \hbox (84.12126pt too wide) in paragraph at lines 290--313 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 j ^^@ [] Overfull \hbox (29.99313pt too wide) in paragraph at lines 290--313 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j \OT1/ cmr/m/n/10 + [] Overfull \hbox (19.44441pt too wide) in paragraph at lines 290--313 [] \OT1/cmr/m/n/10 + [] Overfull \hbox (24.39691pt too wide) in paragraph at lines 290--313 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )$ [] Overfull \hbox (10.76036pt too wide) in paragraph at lines 290--313 \OML/cmm/m/it/10 d \OT1/cmr/m/n/10 : [] Overfull \hbox (41.38895pt too wide) in paragraph at lines 290--313 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 ) [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (22.50005pt too wide) in paragraph at lines 290--313 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (29.16776pt too wide) in paragraph at lines 290--313 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (39.2928pt too wide) in paragraph at lines 290--313 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (71.86574pt too wide) detected at line 313 \OML/cmm/m/it/10 d^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X\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 ; [] Missing character: There is no و in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.315 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no d in font nullfont! ! Missing $ inserted. $ l.316 d\alpha _{P}(X_{1},\cdots,X_{P+1})&=\sum_{j=1}^{P+1}(-1)^{j-1}P\big(\su... 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.316 d\alpha_{P}(X_{1},\cdots,X_{P+1})& =\sum_{j=1}^{P+1}(-1)^{j-1}P\big(\su... 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.317 & \qquad+\sum_{1\leqslant j & l.318 & \qquad P\big(\sum_{j=j+1}^{k-1}\vert X_{i}\vert,\vert X_{k}\vert\big)... 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.319 & \qquad\cdots,X_{i},\cdots,\hat{X_{j}},\cdots,\hat{X_{k}},\cdots,X_{P+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.320 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.320 \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 ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.323 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment proposition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.324 \begin{proposition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ؛ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{proposition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.332 \end{proposition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.333 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Overfull \hbox (91.46844pt too wide) in paragraph at lines 313--341 $\OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]\OT1/cm r/m/n/10 ) = [] Overfull \hbox (281.57858pt too wide) in paragraph at lines 313--341 [][]\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]\OML/cmm/m/it/10 P [] [][]\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\OT 1/cmr/m/n/10 )\OML/cmm/m/it/10 X[][]^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]; [] ; X[]\OT1/cmr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 313--341 \OT1/cmr/m/n/10 + [] Overfull \hbox (251.7174pt too wide) in paragraph at lines 313--341 [][]\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]\OML/cmm/m/it/10 P [] [][] \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\OML/cmm/m/it/1 0 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j[]\OML/cmm/m/it/10 P[] [][] \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\OML/cmm/m/it/ 10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j[][] [] Overfull \hbox (157.80917pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 P[] [][] \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/1 0 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j[ ]\OML/cmm/m/it/10 ^^K[][]\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X[]; X[]\OT1/cmr/m/n /10 ][]\OML/cmm/m/it/10 ; [] [] Overfull \hbox (149.6163pt too wide) in paragraph at lines 313--341 [] \OML/cmm/m/it/10 ; X[]; [] ; []; [] ; []; [] ; X[];$ [] Overfull \hbox (18.36455pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 P \OT1/cmr/m/n/10 = [] Overfull \hbox (30.55547pt too wide) in paragraph at lines 313--341 \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 2\OML/cmm/m/it/10 ; []$ [] Overfull \hbox (10.76036pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 d \OT1/cmr/m/n/10 : [] Overfull \hbox (41.38895pt too wide) in paragraph at lines 313--341 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 ) [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (22.50005pt too wide) in paragraph at lines 313--341 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 G$ [] Overfull \hbox (34.38068pt too wide) in paragraph at lines 313--341 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 d^^K[]\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 = [] Overfull \hbox (18.6203pt too wide) in paragraph at lines 313--341 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ^^K[]\OMS/cmsy/m/n/10 j$ [] Overfull \hbox (20.2465pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 d[] \OT1/cmr/m/n/10 = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 313--341 \OT1/cmr/m/n/10 0$ [] Overfull \hbox (18.51382pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 2 [] Overfull \hbox (15.58684pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (25.5026pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 DerA$ [] Overfull \hbox (11.04724pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 i[]$ [] Overfull \hbox (16.60274pt too wide) in paragraph at lines 313--341 \OML/cmm/m/it/10 i[] \OT1/cmr/m/n/10 : [] Overfull \hbox (48.05666pt too wide) in paragraph at lines 313--341 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 ) [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (39.4039pt too wide) in paragraph at lines 313--341 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (263.25937pt too wide) detected at line 341 \OML/cmm/m/it/10 i[]^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]\OT1/cm r/m/n/10 ) = \OML/cmm/m/it/10 P[] [] \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS /cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/ m/n/10 j[]\OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X; X[]; [] ; X[]\OT1/cmr/m/n/10 ) [] Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no آ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.348 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.349 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.357 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no L in font nullfont! ! Missing $ inserted. $ l.358 L_ {X}\alpha_{P}(X_{1},\cdots,X_{P})&=P\big(\sum_{i=1}^{P}\vert X_{i}\v... 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.358 L_{X}\alpha_{P}(X_{1},\cdots,X_{P})& =P\big(\sum_{i=1}^{P}\vert X_{i}\v... 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.359 & \qquad-\sum_{i=1}^{P}P\big(\sum_{i=1}^{P}\vert X_{i}\vert,\vert X\ver... 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.360 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.360 \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 م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.365 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment proposition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.366 \begin{proposition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: \begin{document} ended by \end{proposition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.368 \end{proposition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.369 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no چ in font nullfont! Missing character: There is no پ in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Overfull \hbox (22.50912pt too wide) in paragraph at lines 341--382 $\OML/cmm/m/it/10 ^^K[] \OMS/cmsy/m/n/10 2 [] Overfull \hbox (29.16776pt too wide) in paragraph at lines 341--382 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (20.32755pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 ^^K[] \OMS/cmsy/m/n/10 2 [] Overfull \hbox (26.98618pt too wide) in paragraph at lines 341--382 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (32.4859pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 i[]^^K[] \OT1/cmr/m/n/10 = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 341--382 \OT1/cmr/m/n/10 0$ [] Overfull \hbox (18.51382pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 2 [] Overfull \hbox (15.58684pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (25.5026pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 DerA$ [] Overfull \hbox (14.40768pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 L[]$ [] Overfull \hbox (19.96318pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 L[] \OT1/cmr/m/n/10 : [] Overfull \hbox (48.05666pt too wide) in paragraph at lines 341--382 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 ) [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (39.4039pt too wide) in paragraph at lines 341--382 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (88.94551pt too wide) in paragraph at lines 341--382 []\OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; X[]\OT1/cmr /m/n/10 ) = [] Overfull \hbox (192.77638pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 P[] [][] \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/1 0 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/m/n/10 j[]\ OML/cmm/m/it/10 X[]^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X; X[]; [] ; X[]\OT1/ cmr/m/n/10 )[][] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 341--382 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (171.64917pt too wide) in paragraph at lines 341--382 [][] \OML/cmm/m/it/10 P[] [][] \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X[]\OMS/cmsy/ m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/m/n/10 j[]\OML/cmm/m/it/10 ^^K[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; [] ; \OMS/cmsy /m/n/10 j\OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 ^^A [] Overfull \hbox (55.4552pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; [] ; X[]\OT1/cmr/m/n/1 0 )$ [] Overfull \hbox (32.4859pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 i[]^^K[] \OT1/cmr/m/n/10 = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 341--382 \OT1/cmr/m/n/10 0$ [] Overfull \hbox (20.32755pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 ^^K[] \OMS/cmsy/m/n/10 2 [] Overfull \hbox (26.98618pt too wide) in paragraph at lines 341--382 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (27.15833pt too wide) in paragraph at lines 341--382 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 i[]\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 = [] Overfull \hbox (30.51877pt too wide) in paragraph at lines 341--382 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 L[]\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 = [] Overfull \hbox (14.625pt too wide) in paragraph at lines 341--382 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/m/n/10 j$ [] Overfull \hbox (7.67015pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 R$ [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 M$ [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 M$ [] Overfull \hbox (13.3333pt too wide) in paragraph at lines 341--382 \OT1/cmr/m/n/10 + : [] Overfull \hbox (18.56946pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 M \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (29.68056pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 M [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 M$ [] Overfull \hbox (8.33328pt too wide) in paragraph at lines 341--382 \OMS/cmsy/m/n/10 ^^A \OT1/cmr/m/n/10 : [] Overfull \hbox (15.44795pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 R \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (29.68056pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 M [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 M$ [] Overfull \hbox (7.67015pt too wide) in paragraph at lines 341--382 \OML/cmm/m/it/10 R$ [] Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no آ in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ، in font nullfont! Overfull \hbox (30.23611pt too wide) in paragraph at lines 384--387 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 M; \OT1/cmr/m/n/10 +)$ [] Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ، in font nullfont! Overfull \hbox (15.15967pt too wide) in paragraph at lines 387--393 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 2 [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 387--393 \OML/cmm/m/it/10 M$ [] Overfull \hbox (22.81012pt too wide) in paragraph at lines 387--393 \OML/cmm/m/it/10 r; s \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.67015pt too wide) in paragraph at lines 387--393 \OML/cmm/m/it/10 R$ [] Overfull \hbox (33.52545pt too wide) in paragraph at lines 387--393 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 rs\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 x \OT1/cm r/m/n/10 = [] Overfull \hbox (22.96994pt too wide) in paragraph at lines 387--393 \OML/cmm/m/it/10 r\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 sx\OT1/cmr/m/n/10 )$ [] Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ، in font nullfont! Overfull \hbox (24.86568pt too wide) in paragraph at lines 393--399 \OML/cmm/m/it/10 x; y \OMS/cmsy/m/n/10 2 [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 393--399 \OML/cmm/m/it/10 M$ [] Overfull \hbox (14.23376pt too wide) in paragraph at lines 393--399 \OML/cmm/m/it/10 r \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.67015pt too wide) in paragraph at lines 393--399 \OML/cmm/m/it/10 R$ [] Overfull \hbox (22.17134pt too wide) in paragraph at lines 393--399 \OML/cmm/m/it/10 r\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x \OT1/cmr/m/n/10 + [] Overfull \hbox (19.70601pt too wide) in paragraph at lines 393--399 \OML/cmm/m/it/10 y\OT1/cmr/m/n/10 ) = [] Overfull \hbox (18.28244pt too wide) in paragraph at lines 393--399 \OML/cmm/m/it/10 rx \OT1/cmr/m/n/10 + [] Overfull \hbox (10.05096pt too wide) in paragraph at lines 393--399 \OML/cmm/m/it/10 ry$ [] Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ، in font nullfont! Overfull \hbox (15.15967pt too wide) in paragraph at lines 399--405 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 2 [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 399--405 \OML/cmm/m/it/10 M$ [] Overfull \hbox (22.81012pt too wide) in paragraph at lines 399--405 \OML/cmm/m/it/10 r; s \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.67015pt too wide) in paragraph at lines 399--405 \OML/cmm/m/it/10 R$ [] Overfull \hbox (16.45607pt too wide) in paragraph at lines 399--405 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 r \OT1/cmr/m/n/10 + [] Overfull \hbox (24.84718pt too wide) in paragraph at lines 399--405 \OML/cmm/m/it/10 s\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (18.28244pt too wide) in paragraph at lines 399--405 \OML/cmm/m/it/10 rx \OT1/cmr/m/n/10 + [] Overfull \hbox (10.40277pt too wide) in paragraph at lines 399--405 \OML/cmm/m/it/10 sx$ [] Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no . in font nullfont! Overfull \hbox (15.15967pt too wide) in paragraph at lines 405--408 \OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 2 [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 405--408 \OML/cmm/m/it/10 M$ [] Overfull \hbox (27.83089pt too wide) in paragraph at lines 405--408 \OT1/cmr/m/n/10 1[]\OML/cmm/m/it/10 x \OT1/cmr/m/n/10 = [] Overfull \hbox (5.71527pt too wide) in paragraph at lines 405--408 \OML/cmm/m/it/10 x$ [] ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.409 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.411 \section {التصاقات خطی} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.412 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.416 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no V 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 - 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 A in font nullfont! Missing character: There is no ) in font nullfont! ! Misplaced alignment tab character &. l.417 V:(P-Der A)& \longrightarrow End(P-Der A), \\ 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 $ inserted. $ l.417 V:(P-Der A)&\longrightarrow End(P-Der 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.418 X& \rightarrow\nabla_{X} 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.419 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.419 \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 ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.421 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.422 \nabla _{aX}(Y)&=a\nabla_{X}Y,\ \ a\in A, X,Y\in(P-Der 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.422 \nabla_{aX}(Y)& =a\nabla_{X}Y,\ \ a\in A, X,Y\in(P-Der A), \\ 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 \nabla_{X}(ay)& =(X_{a})Y+P(\vert X\vert,\vert a\vert)a\nabla_{X}Y,\ \ ... 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.424 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.424 \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{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.425 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.427 \subsection {التصاقات خطی روی دو مدول‌ها روی جبرهای تقریباً جابه‌جایی} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ً in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.428 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ً in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no چ in font nullfont! Missing character: There is no پ in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Overfull \hbox (8.05556pt too wide) in paragraph at lines 411--447 $\OML/cmm/m/it/10 V$ [] Overfull \hbox (16.11119pt too wide) in paragraph at lines 411--447 [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (38.64127pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 End\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (33.8359pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 DerA\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 ; [] [] Overfull \hbox (21.84715pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 ! [] Overfull \hbox (15.93547pt too wide) in paragraph at lines 411--447 \OMS/cmsy/m/n/10 r[]$ [] Overfull \hbox (46.63422pt too wide) in paragraph at lines 411--447 \OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 ) = [] Overfull \hbox (46.75717pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 Y; a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (42.3749pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 A; X; Y \OMS/cmsy/m/n/10 2 [] Overfull \hbox (19.47574pt too wide) in paragraph at lines 411--447 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (33.8359pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 DerA\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 ; [] [] Overfull \hbox (44.81627pt too wide) in paragraph at lines 411--447 \OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ay\OT1/cmr/m/n/10 ) = [] Overfull \hbox (36.70576pt too wide) in paragraph at lines 411--447 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 Y \OT1/c mr/m/n/10 + [] Overfull \hbox (96.03842pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 a\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 Y; X \OMS/cmsy/m/n/10 2 [] Overfull \hbox (32.44069pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 H[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (29.3915pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 DerA\OT1/cmr/m/n/10 )$ [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] Overfull \hbox (29.95682pt too wide) in paragraph at lines 411--447 [] \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 M$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 G$ [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 M$ [] Overfull \hbox (13.88885pt too wide) in paragraph at lines 411--447 \OMS/cmsy/m/n/10 r \OT1/cmr/m/n/10 : [] Overfull \hbox (19.47574pt too wide) in paragraph at lines 411--447 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (48.2804pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 DerA\OT1/cmr/m/n/10 ) [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (37.73499pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 End\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 M\OT1/cmr/m/n/10 )$ [] Overfull \hbox (17.25343pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 G$ [] Overfull \hbox (14.73029pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 A$ [] Overfull \hbox (18.51382pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 2 [] Overfull \hbox (15.58684pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (36.0581pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 DerA \OT1/cmr/m/n/10 = [] Overfull \hbox (18.22453pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 m \OMS/cmsy/m/n/10 2 [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 411--447 \OML/cmm/m/it/10 M$ [] Missing character: There is no ، in font nullfont! Overfull \hbox (21.49097pt too wide) in paragraph at lines 449--451 \OMS/cmsy/m/n/10 r[] \OT1/cmr/m/n/10 : [] Overfull \hbox (29.11804pt too wide) in paragraph at lines 449--451 \OML/cmm/m/it/10 M[] \OMS/cmsy/m/n/10 ! [] Overfull \hbox (35.86017pt too wide) in paragraph at lines 449--451 \OML/cmm/m/it/10 M[]$ [] Missing character: There is no ، in font nullfont! Overfull \hbox (47.38657pt too wide) in paragraph at lines 451--453 \OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 ) = [] Overfull \hbox (37.7793pt too wide) in paragraph at lines 451--453 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/c mr/m/n/10 )$ [] Missing character: There is no . in font nullfont! Overfull \hbox (48.33481pt too wide) in paragraph at lines 453--454 \OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 am\OT1/cmr/m/n/10 ) = [] Overfull \hbox (87.68301pt too wide) in paragraph at lines 453--454 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 X\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/ cmr/m/n/10 )\OML/cmm/m/it/10 m \OT1/cmr/m/n/10 + [] Overfull \hbox (35.55707pt too wide) in paragraph at lines 453--454 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/10 j$ [] Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.460 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no R 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 - 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 A in font nullfont! Missing character: There is no ) in font nullfont! ! Missing $ inserted. $ l.461 R:(P-Der A)\times (P-Der A)&\longrightarrow End(M), \\ 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.461 R:(P-Der A)\times(P-Der A)& \longrightarrow End(M), \\ 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.462 (X,Y)& \rightarrow R_{X\cdot Y} 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.463 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.463 \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 ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Overfull \hbox (8.33336pt too wide) in paragraph at lines 455--469 $\OMS/cmsy/m/n/10 r$ [] Overfull \hbox (7.67015pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 R$ [] Overfull \hbox (27.25354pt too wide) in paragraph at lines 455--469 \OMS/cmsy/m/n/10 ^^B\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (48.2804pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 DerA\OT1/cmr/m/n/10 ) [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (42.1794pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 End\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 M\OT1/cmr/m/n/10 )\OML/cm m/m/it/10 ; [] [] Overfull \hbox (41.5416pt too wide) in paragraph at lines 455--469 \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X; Y\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ! [] Overfull \hbox (23.99297pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 R[]$ [] Overfull \hbox (30.43047pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 X; Y \OMS/cmsy/m/n/10 2 [] Overfull \hbox (15.58684pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (25.5026pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 DerA$ [] Overfull \hbox (18.22453pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 m \OMS/cmsy/m/n/10 2 [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 455--469 \OML/cmm/m/it/10 M$ [] Overfull \hbox (173.62238pt too wide) detected at line 469 \OML/cmm/m/it/10 R[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 ) = []\O MS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 r[][]\OT1/cmr/m/n/10 (\OM L/cmm/m/it/10 m\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ^^@ r\OT1/cmr/m/n/10 [\OML/cm m/m/it/10 X; Y\OT1/cmr/m/n/10 ](\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 ) [] Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Overfull \hbox (178.20386pt too wide) detected at line 471 []\OMS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 r[][] \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 r[]r[] ^^@ \OML/cmm/m/it/10 P[]\OT1/cmr/m/n/10 [\OML/cmm/m/ it/10 X\OT1/cmr/m/n/10 ] \OMS/cmsy/m/n/10 ^^A \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 ][]\OMS/cmsy/m/n/10 r[]r[]\OML/cmm/m/it/10 ; [] Missing character: There is no و in font nullfont! Overfull \hbox (141.72568pt too wide) detected at line 473 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X; Y\OT1/cmr/m/n/10 ] = \OML/cmm/m/it/10 X oY \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 P[]\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X\O T1/cmr/m/n/10 ] \OMS/cmsy/m/n/10 ^^A \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 Y\OT1/cm r/m/n/10 ][]\OML/cmm/m/it/10 Y oX: [] ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.474 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment theorem undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.475 \begin{theorem} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ا in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (8.33336pt too wide) in paragraph at lines 473--484 $\OMS/cmsy/m/n/10 r$ [] Overfull \hbox (14.73029pt too wide) in paragraph at lines 473--484 \OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 473--484 \OML/cmm/m/it/10 A$ [] Overfull \hbox (18.22453pt too wide) in paragraph at lines 473--484 \OML/cmm/m/it/10 m \OMS/cmsy/m/n/10 2 [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 473--484 \OML/cmm/m/it/10 M$ [] Overfull \hbox (30.43047pt too wide) in paragraph at lines 473--484 \OML/cmm/m/it/10 X; Y \OMS/cmsy/m/n/10 2 [] Overfull \hbox (15.58684pt too wide) in paragraph at lines 473--484 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (25.5026pt too wide) in paragraph at lines 473--484 \OML/cmm/m/it/10 DerA$ [] Missing character: There is no - in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ؛ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Overfull \hbox (7.50002pt too wide) in paragraph at lines 486--488 \OML/cmm/m/it/10 A$ [] Overfull \hbox (73.72047pt too wide) detected at line 488 \OML/cmm/m/it/10 R[] \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 aR[]: [] Missing character: There is no ، in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ؛ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Overfull \hbox (23.99297pt too wide) in paragraph at lines 490--493 \OML/cmm/m/it/10 R[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 490--493 \OML/cmm/m/it/10 A$ [] Overfull \hbox (107.78459pt too wide) detected at line 493 \OML/cmm/m/it/10 R[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 am\OT1/cmr/m/n/10 ) = \OM L/cmm/m/it/10 aR[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 )\OML/cmm/ m/it/10 : [] Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ؛ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Overfull \hbox (7.67015pt too wide) in paragraph at lines 495--499 \OML/cmm/m/it/10 R$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 495--499 \OML/cmm/m/it/10 P$ [] Overfull \hbox (120.11435pt too wide) detected at line 499 \OML/cmm/m/it/10 R[] \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 ^^@\OML/cmm/m/it/10 P\O T1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/m/n/10 j\OML/cmm/m /it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 R[]: [] ! LaTeX Error: \begin{document} ended by \end{theorem}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.501 \end{theorem} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment proof undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.502 \begin{proof} 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 ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.505 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no R in font nullfont! ! Missing $ inserted. $ l.506 R_ {X\cdot Y}(am)&=\big[\nabla_{X},\nabla_{Y}\big](am)-\nabla[X,Y](am) \\ 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.506 R_{X\cdot Y}(am)& =\big[\nabla_{X},\nabla_{Y}\big](am)-\nabla[X,Y](am) \\ 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.507 & =\nabla_{X}\nabla_{Y}(am)-P(\vert X\vert,\vert Y\vert)\nabla_{Y}\nabl... 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.508 & =\nabla_{X}\big(P(\vert Y\vert,\vert m\vert)Y(a)m+a\nabla_{Y}(m)\big) \\ 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.509 & \qquad-P(\vert X\vert,\vert Y\vert)\nabla_{X}P(\vert X\vert,\vert m\v... 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.510 & \qquad-P(\vert X\vert+\vert Y\vert,\vert m\vert)[X-Y](a)m-a\nabla_{[X... 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.511 & =P(\vert X\vert,\vert m\vert)X\big(P(\vert Y\vert,\vert m\vert)Y(a)\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. ! Misplaced alignment tab character &. & l.512 & \qquad+P(\vert X\vert,\vert Y\vert+\vert m\vert)X(a)\nabla_{Y}(m)+a\n... 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.513 & \qquad-P(\vert X\vert,\vert Y\vert)P(\vert Y\vert,\vert m\vert)Y\big(... 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.514 & \qquad-P(\vert X\vert,\vert Y\vert)P(\vert X\vert,\vert m\vert)X(a)\n... 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.515 & \qquad-P(\vert X\vert,\vert Y\vert)P(\vert Y\vert,\vert X\vert+\vert ... 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.516 & \qquad-P(\vert X\vert,\vert Y\vert)a\nabla_{Y}\nabla_{X}(m) \\ 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.517 & \qquad-P(\vert X\vert+\vert Y\vert,\vert m\vert)[X,Y](a)m-a\nabla_{[X... 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.518 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.518 \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 د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no آ in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Overfull \hbox (48.79941pt too wide) in paragraph at lines 503--520 []\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 am\OT1/cmr/m/n/10 ) = [] Overfull \hbox (73.5912pt too wide) in paragraph at lines 503--520 []\OMS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 r[][]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 am\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (56.71883pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 r\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X; Y\OT1/cmr/m/n/10 ](\OML/ cmm/m/it/10 am\OT1/cmr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OT1/cmr/m/n/10 = [] Overfull \hbox (60.81342pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 r[]r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 am\OT1/cmr/m/n/10 ) \O MS/cmsy/m/n/10 ^^@ [] Overfull \hbox (109.05302pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 r[]r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a m\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (56.71883pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 r\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X; Y\OT1/cmr/m/n/10 ](\OML/ cmm/m/it/10 am\OT1/cmr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OT1/cmr/m/n/10 = [] Overfull \hbox (106.11856pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 r[][]\OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML /cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m /it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 (\ OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 m \OT1/cmr/m/n/10 + [] Overfull \hbox (41.6835pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/c mr/m/n/10 )[][] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (151.8581pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OM S/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy /m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 X\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 m \OT1/cm r/m/n/10 + [] Overfull \hbox (37.7793pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/c mr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (34.10074pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j \OT1/cmr/m/n/10 + [] Overfull \hbox (55.8774pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/c msy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )[\OML/cmm/m/it /10 X \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (40.4272pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 ](\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OML/cmm /m/it/10 m \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (54.86897pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/c mr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OT1/cmr/m/n/10 = [] Overfull \hbox (152.82784pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 X[]P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\O ML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm /m/it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )[]\OML/cmm/m/it/10 m \OT1/cmr/m/n/10 + [] Overfull \hbox (101.5352pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/ cmr/m/n/10 )\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n /10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OT1/cmr/m/n/10 + [] Overfull \hbox (52.12851pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/ 10 j \OT1/cmr/m/n/10 + [] Overfull \hbox (79.94978pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm /m/it/10 X\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 ) + [] Overfull \hbox (53.03561pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT 1/cmr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (192.5373pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/ cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/ it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 Y[]P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/ cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )[]\OML/cmm/m/ it/10 X\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 m[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (151.17894pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/ cmm/m/it/10 X\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/ it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 X\OT1/cmr/m/n/10 (\O ML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/ m/it/10 m\OT1/cmr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (100.36812pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/ cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/ it/10 X\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 + [] Overfull \hbox (71.8095pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OML/cmm /m/it/10 Y\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (101.27522pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]r[]\OT1/cmr/m/n/10 ( \OML/cmm/m/it/10 m\OT1/cmr/m/n/10 )[] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (34.10074pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j \OT1/cmr/m/n/10 + [] Overfull \hbox (92.41565pt too wide) in paragraph at lines 503--520 \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/c msy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )[\OML/cmm/m/it /10 X; Y\OT1/cmr/m/n/10 ](\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 m \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (61.23001pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/c mr/m/n/10 ) = [] Overfull \hbox (45.83679pt too wide) in paragraph at lines 503--520 \OML/cmm/m/it/10 aR[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 )$ [] Overfull \hbox (154.889pt too wide) detected at line 520 \OML/cmm/m/it/10 X[]P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/ cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m /n/10 j\OT1/cmr/m/n/10 )[]\OML/cmm/m/it/10 a \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/c mm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 m\OMS/cmsy/m/n/10 j\OT1/cmr/m/n /10 )\OML/cmm/m/it/10 X\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 ) [] Missing character: There is no و in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.522 \begin{align*} 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 ( in font nullfont! ! Missing $ inserted. $ l.523 P(\vert X\vert,\vert m\vert)X\big(P(\vert Y\vert,\vert m\vert)Y(a)\big... 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.523 ...ig(P(\vert Y\vert,\vert m\vert)Y(a)\big)& -P(\vert X\vert,\vert Y\ve... 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.524 & =P(\vert X\vert+\vert Y\vert,\vert m\vert)[X-Y](a). 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.525 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.525 \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 ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ژ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no چ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ً in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no آ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{proof}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.531 \end{proof} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment theorem undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.532 \begin{theorem} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no خ in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no چ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.538 \begin{align*} 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 ( in font nullfont! ! Missing $ inserted. $ l.539 P(\vert Z\vert,\vert X\vert)&\big[\nabla_{X},R_{Y,Z}\big]+P(\vert X\ve... 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.539 P(\vert Z\vert,\vert X\vert)& \big[\nabla_{X},R_{Y,Z}\big]+P(\vert X\ve... 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.540 & =P(\vert Z\vert,\vert X\vert)R_{[X,Y]_{Z}}+P(\vert X\vert,\vert Y\ver... 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.541 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.541 \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{theorem}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.542 \end{theorem} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ئ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ً in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.554 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ً in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! 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\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 R[] \OT1/cmr/m/n/10 + [] Overfull \hbox (88.53128pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 R[] \OT1/cmr/m/n/10 + [] Overfull \hbox (83.10626pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cms y/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Z\OMS/cmsy/m/n/ 10 j\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 R[]:$ [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 M$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 P$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 P$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 A$ [] Overfull \hbox (8.33336pt too wide) in paragraph at lines 520--560 \OMS/cmsy/m/n/10 r$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 520--560 \OML/cmm/m/it/10 A$ [] Overfull \hbox (176.84802pt too wide) detected at line 560 \OML/cmm/m/it/10 T[] \OT1/cmr/m/n/10 : \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 DerA \OMS/cmsy/m/n/10 ^^B \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 DerA [][]\OMS/cmsy/m/n/10 ! \OML/cmm/m/it/10 P \OMS/cmsy/m /n/10 ^^@ \OML/cmm/m/it/10 DerA; [] Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Overfull \hbox (198.74727pt too wide) detected at line 562 \OML/cmm/m/it/10 T[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X; Y\OT1/cmr/m/n/10 ) \OM S/cmsy/m/n/10 ! r[]\OML/cmm/m/it/10 Y \OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 P\O T1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OMS/cmsy/m/n/10 j\OML/cmm/m /it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 ^^@ \OT1/cmr/m/n/10 [\ OML/cmm/m/it/10 X; Y\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 : [] ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.563 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment point undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.564 \begin{point} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ژ in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ً in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{point}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.573 \end{point} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment example undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.574 \begin{example} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no چ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no ) in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{example}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.597 \end{example} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment example undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.598 \begin{example} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Overfull \hbox (7.80904pt too wide) in paragraph at lines 562--619 $\OML/cmm/m/it/10 P$ [] Overfull \hbox (7.23265pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 T$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 A$ [] Overfull \hbox (16.67705pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 T \OMS/cmsy/m/n/10 2 [] Overfull \hbox (26.98618pt too wide) in paragraph at lines 562--619 \OT1/cmr/m/n/10 [](\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 P$ [] Overfull \hbox (18.418pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 G \OT1/cmr/m/n/10 = [] Overfull \hbox (7.54167pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 Z$ [] Overfull \hbox (26.50687pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 ^^K; ^^L \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.86249pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 G$ [] Overfull \hbox (43.20482pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^K; ^^L\OT1/cmr/m/n/10 ) = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 562--619 \OT1/cmr/m/n/10 1$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.95831pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 E$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 V$ [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] Overfull \hbox (32.16809pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 C[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 V\OT1/cmr/m/n/10 )$ [] Overfull \hbox (8.05556pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 V$ [] Overfull \hbox (22.96877pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 T\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 E\OT1/cmr/m/n/10 )$ [] Overfull \hbox (7.95831pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 E$ [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] Overfull \hbox (31.39195pt too wide) in paragraph at lines 562--619 [] \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (7.54167pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 Z$ [] Overfull \hbox (13.36453pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 P \OT1/cmr/m/n/10 : [] Overfull \hbox (15.31947pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 Z \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (26.43057pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 Z [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (9.20833pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 K$ [] Overfull \hbox (26.50687pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 ^^K; ^^L \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.54167pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 Z$ [] Overfull \hbox (43.20482pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^K; ^^L\OT1/cmr/m/n/10 ) = [] Overfull \hbox (31.14851pt too wide) in paragraph at lines 562--619 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 A$ [] Overfull \hbox (18.22453pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 m \OMS/cmsy/m/n/10 2 [] Overfull \hbox (10.79166pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 M$ [] Overfull \hbox (22.9722pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 X[] \OMS/cmsy/m/n/10 2 [] Overfull \hbox (15.58684pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 P \OMS/cmsy/m/n/10 ^^@ [] Overfull \hbox (25.5026pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 DerA$ [] Overfull \hbox (14.73029pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 a \OMS/cmsy/m/n/10 2 [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 562--619 \OML/cmm/m/it/10 A$ [] Missing character: There is no ، in font nullfont! Overfull \hbox (51.5439pt too wide) in paragraph at lines 621--623 \OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 ) = [] Overfull \hbox (43.08478pt too wide) in paragraph at lines 621--623 \OML/cmm/m/it/10 ^^K\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1 /cmr/m/n/10 )$ [] Missing character: There is no . in font nullfont! Overfull \hbox (58.1909pt too wide) in paragraph at lines 623--624 \OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 am[]\OT1/cmr/m/n/10 ) = [] Overfull \hbox (78.98453pt too wide) in paragraph at lines 623--624 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]\OML/cmm/m/it/10 X[]\O T1/cmr/m/n/10 (\OML/cmm/m/it/10 a\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 m[] \OT1/cmr /m/n/10 + [] Overfull \hbox (47.63539pt too wide) in paragraph at lines 623--624 \OML/cmm/m/it/10 a\OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m[]\OT1 /cmr/m/n/10 )$ [] Missing character: There is no پ in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.628 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no R in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no X in font nullfont! ! Missing $ inserted. $ l.629 R(X_ {\alpha},X_{\beta})&=\nabla_{X_{\alpha}}\nabla_{X_{\beta}}-(-1)^{\... 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.629 R(X_{\alpha},X_{\beta})& =\nabla_{X_{\alpha}}\nabla_{X_{\beta}}-(-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.631 & \qquad+(-1)^{\alpha\beta}\nabla_{X_{\beta}}\nabla_{X_{\alpha}}+\nabla... 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.632 & \qquad+(-1)^{\alpha\beta}[\nabla X_{\beta},R_{X_{\lambda}},X_{\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.633 & =(-1)^{\alpha\lambda}R[X_{\alpha},X_{\beta}]\cdot X_{\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. ! LaTeX Error: \begin{document} ended by \end{align*}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.634 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.634 \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 ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ی in font nullfont! Overfull \hbox (8.33336pt too wide) in paragraph at lines 625--640 $\OMS/cmsy/m/n/10 r$ [] Overfull \hbox (38.26645pt too wide) in paragraph at lines 625--640 []\OML/cmm/m/it/10 ; X[]\OT1/cmr/m/n/10 ) = [] Overfull \hbox (48.33725pt too wide) in paragraph at lines 625--640 \OMS/cmsy/m/n/10 r[]r[] ^^@ [] Overfull \hbox (79.48576pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]\OMS/cmsy/m/n/10 r[]r[ ] \OT1/cmr/m/n/10 + [] Overfull \hbox (146.64322pt too wide) in paragraph at lines 625--640 \OMS/cmsy/m/n/10 r\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X[]; X[]\OT1/cmr/m/n/10 ](\ OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[][\OMS/cmsy/m/n/10 r\OML/cmm/m/it/10 X[]; R[]; X[]\OT1/cmr/m/n/10 ][] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 + [] Overfull \hbox (79.48576pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]\OMS/cmsy/m/n/10 r[]r[ ] \OT1/cmr/m/n/10 + [] Overfull \hbox (146.64322pt too wide) in paragraph at lines 625--640 \OMS/cmsy/m/n/10 r\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X[]; X[]\OT1/cmr/m/n/10 ](\ OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[][\OMS/cmsy/m/n/10 r\OML/cmm/m/it/10 X[]; R[]; X[]\OT1/cmr/m/n/10 ][] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 + [] Overfull \hbox (108.71877pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[][\OMS/cmsy/m/n/10 r\OM L/cmm/m/it/10 X[]; R[]; X[]\OT1/cmr/m/n/10 ] + [] Overfull \hbox (100.39474pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[][\OMS/cmsy/m/n/10 r\OM L/cmm/m/it/10 X[]; R[]; X[]\OT1/cmr/m/n/10 ][] [] Overfull \hbox (7.7778pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 = [] Overfull \hbox (79.10773pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]\OML/cmm/m/it/10 R\OT1 /cmr/m/n/10 [\OML/cmm/m/it/10 X[]; X[]\OT1/cmr/m/n/10 ] \OMS/cmsy/m/n/10 ^^A [] Overfull \hbox (21.3056pt too wide) in paragraph at lines 625--640 \OML/cmm/m/it/10 X[] \OT1/cmr/m/n/10 + [] Overfull \hbox (78.8031pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]\OML/cmm/m/it/10 R\OT1 /cmr/m/n/10 [\OML/cmm/m/it/10 X[]; X[]\OT1/cmr/m/n/10 ] \OMS/cmsy/m/n/10 ^^A [] Overfull \hbox (21.76129pt too wide) in paragraph at lines 625--640 \OML/cmm/m/it/10 X[] \OT1/cmr/m/n/10 + [] Overfull \hbox (78.65204pt too wide) in paragraph at lines 625--640 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]\OML/cmm/m/it/10 R\OT1 /cmr/m/n/10 [\OML/cmm/m/it/10 X[]; X[]\OT1/cmr/m/n/10 ] \OMS/cmsy/m/n/10 ^^A [] Overfull \hbox (16.45665pt too wide) in paragraph at lines 625--640 \OML/cmm/m/it/10 X[]:$ [] Overfull \hbox (7.23265pt too wide) in paragraph at lines 625--640 \OML/cmm/m/it/10 T$ [] Overfull \hbox (8.33336pt too wide) in paragraph at lines 625--640 \OMS/cmsy/m/n/10 r$ [] Overfull \hbox (214.06075pt too wide) detected at line 641 \OML/cmm/m/it/10 T[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]; X[]\OT1/cmr/m/n/10 ) = \OMS/cmsy/m/n/10 r[] ^^@ \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/1 0 1)[]\OMS/cmsy/m/n/10 r[] ^^@ \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X[]; X[]\OT1/c mr/m/n/10 ] [] Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{example}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.643 \end{example} Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Environment example undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.644 \begin{example} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ، in font nullfont! ! Undefined control sequence. \mathbb l.647 $\mathbb {Z}_{2}$ 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 ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! ! Undefined control sequence. l.651 $P:\mathbb {Z}_{2}\times\mathbb{Z}_{2}\longrightarrow K$ 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.651 $P:\mathbb{Z}_{2}\times\mathbb {Z}_{2}\longrightarrow K$ 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 د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! ! Undefined control sequence. \mathbb l.657 $\mathbb {Z}_{2}$-مدرج The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct 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 م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! ! Undefined control sequence. \mathbb l.662 $\mathbb {Z}_{2}$ 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 ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Overfull \hbox (7.86249pt too wide) in paragraph at lines 641--664 $\OML/cmm/m/it/10 G$ [] Overfull \hbox (11.31253pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 Z[]$ [] Overfull \hbox (18.05553pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] Overfull \hbox (19.76395pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 A[] \OMS/cmsy/m/n/10 ^^H [] Overfull \hbox (11.98615pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 A[]$ [] Overfull \hbox (13.36453pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 P \OT1/cmr/m/n/10 : [] Overfull \hbox (19.09033pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 Z[] \OMS/cmsy/m/n/10 ^^B [] Overfull \hbox (30.20143pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 Z[] [][]\OMS/cmsy/m/n/10 ! [] Overfull \hbox (9.20833pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 K$ [] Overfull \hbox (43.20482pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^K; ^^L\OT1/cmr/m/n/10 ) = [] Overfull \hbox (31.14851pt too wide) in paragraph at lines 641--664 \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/10 1)[]$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 A$ [] Overfull \hbox (11.31253pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 Z[]$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 P$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 A$ [] Overfull \hbox (11.31253pt too wide) in paragraph at lines 641--664 \OML/cmm/m/it/10 Z[]$ [] Overfull \hbox (131.6325pt too wide) detected at line 664 \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X[]; Y[]\OT1/cmr/m/n/10 ] = \OML/cmm/m/it/10 X[]Y[] \OMS/cmsy/m/n/10 ^^@ \OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@\OT1/cmr/m/n/1 0 1)[]\OML/cmm/m/it/10 Y[]X[]: [] Missing character: There is no چ in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no پ in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Overfull \hbox (7.80904pt too wide) in paragraph at lines 664--679 $\OML/cmm/m/it/10 P$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 664--679 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.95831pt too wide) in paragraph at lines 664--679 \OML/cmm/m/it/10 E$ [] Overfull \hbox (7.50002pt too wide) in paragraph at lines 664--679 \OML/cmm/m/it/10 A$ [] Overfull \hbox (7.95831pt too wide) in paragraph at lines 664--679 \OML/cmm/m/it/10 E$ [] Overfull \hbox (7.95831pt too wide) in paragraph at lines 664--679 \OML/cmm/m/it/10 E$ [] Overfull \hbox (7.95831pt too wide) in paragraph at lines 664--679 \OML/cmm/m/it/10 E$ [] Overfull \hbox (170.41402pt too wide) detected at line 679 \OML/cmm/m/it/10 R[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 ) = [\OM S/cmsy/m/n/10 r[]\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 r[]\OT1/cmr/m/n/10 ](\OML/ cmm/m/it/10 m\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ^^@ r\OT1/cmr/m/n/10 [\OML/cmm/ m/it/10 X; Y\OT1/cmr/m/n/10 ](\OML/cmm/m/it/10 m\OT1/cmr/m/n/10 ) [] Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no پ in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ل in font nullfont! Overfull \hbox (7.95831pt too wide) in paragraph at lines 679--688 \OML/cmm/m/it/10 E$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 679--688 \OML/cmm/m/it/10 P$ [] Overfull \hbox (7.80904pt too wide) in paragraph at lines 679--688 \OML/cmm/m/it/10 P$ [] Overfull \hbox (164.9834pt too wide) detected at line 688 \OML/cmm/m/it/10 T[] \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 Y \ OMS/cmsy/m/n/10 ^^@ \OML/cmm/m/it/10 P\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 j\OML/c mm/m/it/10 X\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 j\OML/cmm/m/i t/10 Y\OMS/cmsy/m/n/10 j\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 r[]\OML/cmm/m/it/10 X \OMS/cmsy/m/n/10 ^^@ \OT1/cmr/m/n/10 [\OML/cmm/m/it/10 X; Y\OT1/cmr/m/n/10 ] [] Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! ! LaTeX Error: \begin{document} ended by \end{example}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.690 \end{example} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Undefined control sequence. l.692 \section {التصاقات خطی روی ابرصفحه کوانتوم} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ئ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: Environment definition undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.701 \begin{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ط in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ق in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! ! LaTeX Error: Environment align* undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.711 \begin{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no x in font nullfont! ! Missing $ inserted. $ l.712 x_ {i}x_{j}&=qx_{j}x_{i},\quad i for immediate help. ... l.714 \end{align*} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ l.714 \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 ب in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ک in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no گ in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ف in font nullfont! Missing character: There is no ت in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ح in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ض in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ، in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ج in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ز in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ع in font nullfont! Missing character: There is no ن in font nullfont! Missing character: There is no ا in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no ر in font nullfont! Missing character: There is no ب in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no س in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ل in font nullfont! Missing character: There is no ه in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no خ in font nullfont! Missing character: There is no ص in font nullfont! Missing character: There is no م in font nullfont! Missing character: There is no ی in font nullfont! Missing character: There is no ‌ in font nullfont! Missing character: There is no ش in font nullfont! Missing character: There is no و in font nullfont! Missing character: There is no د in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{definition}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.723 \end{definition} Your command was ignored. Type I to replace it with another command, or to continue without it. ) ! Emergency stop. <*> chapter1.tex *** (job aborted, no legal \end found) Here is how much of TeX's memory you used: 28 strings out of 492970 388 string characters out of 6137299 93642 words of memory out of 5000000 4131 multiletter control sequences out of 15000+600000 3656 words of font info for 16 fonts, out of 8000000 for 9000 1348 hyphenation exceptions out of 8191 18i,6n,14p,197b,116s stack positions out of 5000i,500n,10000p,200000b,80000s Output written on chapter1.pdf (1 page).