diff --git "a/chapters/langevin-equation.log" "b/chapters/langevin-equation.log" new file mode 100644--- /dev/null +++ "b/chapters/langevin-equation.log" @@ -0,0 +1,2534 @@ +This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023/Debian) (preloaded format=pdflatex 2024.11.23) 11 JAN 2025 21:13 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**langevin-equation.tex +(./langevin-equation.tex +LaTeX2e <2023-11-01> patch level 1 +L3 programming layer <2024-01-22> +! Undefined control sequence. +l.1 \section + {Langevin Equation} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 \section{L + angevin Equation} +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no L in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no E in font nullfont! +Missing character: There is no q in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 1--2 +[] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.3 \frame{\sectionpage} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +! Undefined control sequence. + \sectionpage + +l.3 \frame{\sectionpage} + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 3--4 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.5 ...gin{frame}{Ordinary Differential Equations} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no O in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no D in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no E in font nullfont! +Missing character: There is no q in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.6 \uncover + <+->{\begin{equation*} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no > in font nullfont! + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.6 \uncover<+->{\begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Undefined control sequence. +l.7 \dv + {x} y(x) + \frac{1}{CR} y(x) = 0 +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no x in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no ) in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no 1 in font nullfont! +! Missing $ inserted. + + $ +l.7 \dv{x} y(x) + \frac{1}{CR} + y(x) = 0 +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +LaTeX Font Info: External font `cmex10' loaded for size +(Font) <7> on input line 7. +LaTeX Font Info: External font `cmex10' loaded for size +(Font) <5> on input line 7. +! Extra }, or forgotten $. +\frac #1#2->{\begingroup #1\endgroup \over #2} + +l.7 \dv{x} y(x) + \frac{1}{CR} + y(x) = 0 +I've deleted a group-closing symbol because it seems to be +spurious, as in `$x}$'. But perhaps the } is legitimate and +you forgot something else, as in `\hbox{$x}'. In such cases +the way to recover is to insert both the forgotten and the +deleted material, e.g., by typing `I$}'. + + +! LaTeX Error: \begin{frame} on input line 5 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.8 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.8 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + +! Missing } inserted. + + } +l.8 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 5--9 +[][] + [] + + +Overfull \hbox (39.90262pt too wide) in paragraph at lines 5--9 +[]$ + [] + +! Undefined control sequence. +l.10 \uncover + <+->{\begin{equation*} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.10 \uncover< + +->{\begin{equation*} +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no > in font nullfont! + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.10 \uncover<+->{\begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Undefined control sequence. +l.11 \dv + [2]{x} y(x) + \gamma \dv{x} y(x) + \omega_0^2 y(x) = f(x) +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no [ in font nullfont! +Missing character: There is no 2 in font nullfont! +Missing character: There is no ] in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no ) in font nullfont! +Missing character: There is no + in font nullfont! +! Missing $ inserted. + + $ +l.11 \dv[2]{x} y(x) + \gamma + \dv{x} y(x) + \omega_0^2 y(x) = f(x) +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.11 \dv[2]{x} y(x) + \gamma \dv + {x} y(x) + \omega_0^2 y(x) = f(x) +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{frame} on input line 5 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.12 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.12 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 10--14 +[] + [] + + +Overfull \hbox (37.98059pt too wide) in paragraph at lines 10--14 +\OML/cmm/m/it/10 ^^Mxy\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) + + [] + + +Overfull \hbox (40.37962pt too wide) in paragraph at lines 10--14 +\OML/cmm/m/it/10 ![]y\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (19.46533pt too wide) in paragraph at lines 10--14 +\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.15 \begin{frame}{Non-equilibrium system} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no N in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no q in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +! Undefined control sequence. +l.16 \uncover + <+>{\begin{equation*} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.16 \uncover<+>{\begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Undefined control sequence. +l.17 \dv + [2]{x} y(x) + \gamma \dv{x} y(x) + \omega_0^2 y(x) = f(x) +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no [ in font nullfont! +Missing character: There is no 2 in font nullfont! +Missing character: There is no ] in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no ) in font nullfont! +Missing character: There is no + in font nullfont! +! Missing $ inserted. + + $ +l.17 \dv[2]{x} y(x) + \gamma + \dv{x} y(x) + \omega_0^2 y(x) = f(x) +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.17 \dv[2]{x} y(x) + \gamma \dv + {x} y(x) + \omega_0^2 y(x) = f(x) +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{frame} on input line 15 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.18 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.18 \end{equation*} + } +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. + +! Undefined control sequence. +l.19 \uncover + <+>{\[ \Downarrow \] +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 15--19 +[][] + [] + + +Overfull \hbox (37.98059pt too wide) in paragraph at lines 15--19 +\OML/cmm/m/it/10 ^^Mxy\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) + + [] + + +Overfull \hbox (40.37962pt too wide) in paragraph at lines 15--19 +\OML/cmm/m/it/10 ![]y\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (19.46533pt too wide) in paragraph at lines 15--19 +\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ + [] + + +Overfull \hbox (6.11111pt too wide) detected at line 19 +\OMS/cmsy/m/n/10 + + [] + + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.20 \begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Undefined control sequence. +l.21 \colch + {\dv[2]{x} + \gamma \dv{x} + \omega_0^2} y(x) = f(x) +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.21 \colch{\dv + [2]{x} + \gamma \dv{x} + \omega_0^2} y(x) = f(x) +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no [ in font nullfont! +Missing character: There is no 2 in font nullfont! +Missing character: There is no ] in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no + in font nullfont! +! Missing $ inserted. + + $ +l.21 \colch{\dv[2]{x} + \gamma + \dv{x} + \omega_0^2} y(x) = f(x) +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.21 \colch{\dv[2]{x} + \gamma \dv + {x} + \omega_0^2} y(x) = f(x) +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Extra }, or forgotten $. +l.21 ...ch{\dv[2]{x} + \gamma \dv{x} + \omega_0^2} + y(x) = f(x) +I've deleted a group-closing symbol because it seems to be +spurious, as in `$x}$'. But perhaps the } is legitimate and +you forgot something else, as in `\hbox{$x}'. In such cases +the way to recover is to insert both the forgotten and the +deleted material, e.g., by typing `I$}'. + + +! LaTeX Error: \begin{frame} on input line 15 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.22 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.22 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + +! Missing } inserted. + + } +l.22 \end{equation*} + } +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. + +! Undefined control sequence. +l.23 \uncover + <+>{\[ \Downarrow \] +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +Overfull \hbox (19.22592pt too wide) in paragraph at lines 19--23 + $\OML/cmm/m/it/10 ^^Mx \OT1/cmr/m/n/10 + + [] + + +Overfull \hbox (40.37962pt too wide) in paragraph at lines 19--23 +\OML/cmm/m/it/10 ![]y\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (19.46533pt too wide) in paragraph at lines 19--23 +\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )$ + [] + + +Overfull \hbox (6.11111pt too wide) detected at line 23 +\OMS/cmsy/m/n/10 + + [] + + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.24 \begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +Missing character: There is no y in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no ) in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no ) in font nullfont! +! Missing $ inserted. + + $ +l.25 ...)}{\dv[2]{x} + \gamma \dv{x} + \omega_0^2} + +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. + \dv + [2]{x} + \gamma \dv {x} + \omega _0^2 +l.25 ...)}{\dv[2]{x} + \gamma \dv{x} + \omega_0^2} + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. + \dv [2]{x} + \gamma \dv + {x} + \omega _0^2 +l.25 ...)}{\dv[2]{x} + \gamma \dv{x} + \omega_0^2} + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Extra }, or forgotten $. +\frac #1#2->{\begingroup #1\endgroup \over #2} + +l.25 ...)}{\dv[2]{x} + \gamma \dv{x} + \omega_0^2} + +I've deleted a group-closing symbol because it seems to be +spurious, as in `$x}$'. But perhaps the } is legitimate and +you forgot something else, as in `\hbox{$x}'. In such cases +the way to recover is to insert both the forgotten and the +deleted material, e.g., by typing `I$}'. + + +! LaTeX Error: \begin{frame} on input line 15 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.26 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.26 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + +! Missing } inserted. + + } +l.26 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + + +Overfull \hbox (46.08405pt too wide) in paragraph at lines 23--28 + $[]$ + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.29 \begin{frame}{Non-equilibrium system} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no N in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no q in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +! Undefined control sequence. +l.31 \includegraphics + [width = 0.8\textwidth]{images/coke.jpg} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +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 w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 0 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 8 in font nullfont! +! Missing number, treated as zero. + + ] +l.31 ... \includegraphics[width = 0.8\textwidth] + {images/coke.jpg} +A number should have been here; I inserted `0'. +(If you can't figure out why I needed to see a number, +look up `weird error' in the index to The TeXbook.) + +! Illegal unit of measure (pt inserted). + + ] +l.31 ... \includegraphics[width = 0.8\textwidth] + {images/coke.jpg} +Dimensions can be in units of em, ex, in, pt, pc, +cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! +I'll assume that you meant to say pt, for printer's points. +To recover gracefully from this error, it's best to +delete the erroneous units; e.g., type `2' to delete +two letters. (See Chapter 27 of The TeXbook.) + +Missing character: There is no ] in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no / in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no j in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no g in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 29--33 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.34 ...ural Network: Learning cross-correlations} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no N in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no : in font nullfont! +Missing character: There is no L in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.36 \includegraphics + [width = 0.9\textwidth]{images/fourier-1.pdf} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +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 w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 0 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 9 in font nullfont! +! Missing number, treated as zero. + + ] +l.36 ... \includegraphics[width = 0.9\textwidth] + {images/fourier-1.pdf} +A number should have been here; I inserted `0'. +(If you can't figure out why I needed to see a number, +look up `weird error' in the index to The TeXbook.) + +! Illegal unit of measure (pt inserted). + + ] +l.36 ... \includegraphics[width = 0.9\textwidth] + {images/fourier-1.pdf} +Dimensions can be in units of em, ex, in, pt, pc, +cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! +I'll assume that you meant to say pt, for printer's points. +To recover gracefully from this error, it's best to +delete the erroneous units; e.g., type `2' to delete +two letters. (See Chapter 27 of The TeXbook.) + +Missing character: There is no ] in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no / in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no f in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 34--38 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.39 ...ural Network: Learning cross-correlations} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no N in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no : in font nullfont! +Missing character: There is no L in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.41 \includegraphics + [width = 0.9\textwidth]{images/fourier-2.pdf} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +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 w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 0 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 9 in font nullfont! +! Missing number, treated as zero. + + ] +l.41 ... \includegraphics[width = 0.9\textwidth] + {images/fourier-2.pdf} +A number should have been here; I inserted `0'. +(If you can't figure out why I needed to see a number, +look up `weird error' in the index to The TeXbook.) + +! Illegal unit of measure (pt inserted). + + ] +l.41 ... \includegraphics[width = 0.9\textwidth] + {images/fourier-2.pdf} +Dimensions can be in units of em, ex, in, pt, pc, +cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! +I'll assume that you meant to say pt, for printer's points. +To recover gracefully from this error, it's best to +delete the erroneous units; e.g., type `2' to delete +two letters. (See Chapter 27 of The TeXbook.) + +Missing character: There is no ] in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no / in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no 2 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no f in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 39--43 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.44 ...ural Network: Learning cross-correlations} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no N in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no : in font nullfont! +Missing character: There is no L in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.46 \includegraphics + [width = 0.9\textwidth]{images/fourier-3.pdf} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +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 w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 0 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 9 in font nullfont! +! Missing number, treated as zero. + + ] +l.46 ... \includegraphics[width = 0.9\textwidth] + {images/fourier-3.pdf} +A number should have been here; I inserted `0'. +(If you can't figure out why I needed to see a number, +look up `weird error' in the index to The TeXbook.) + +! Illegal unit of measure (pt inserted). + + ] +l.46 ... \includegraphics[width = 0.9\textwidth] + {images/fourier-3.pdf} +Dimensions can be in units of em, ex, in, pt, pc, +cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! +I'll assume that you meant to say pt, for printer's points. +To recover gracefully from this error, it's best to +delete the erroneous units; e.g., type `2' to delete +two letters. (See Chapter 27 of The TeXbook.) + +Missing character: There is no ] in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no / in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no 3 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no f in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 44--48 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.49 ...ural Network: Learning cross-correlations} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no N in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no : in font nullfont! +Missing character: There is no L in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.51 \includegraphics + [width = 0.9\textwidth]{images/fourier-4.pdf} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +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 w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 0 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 9 in font nullfont! +! Missing number, treated as zero. + + ] +l.51 ... \includegraphics[width = 0.9\textwidth] + {images/fourier-4.pdf} +A number should have been here; I inserted `0'. +(If you can't figure out why I needed to see a number, +look up `weird error' in the index to The TeXbook.) + +! Illegal unit of measure (pt inserted). + + ] +l.51 ... \includegraphics[width = 0.9\textwidth] + {images/fourier-4.pdf} +Dimensions can be in units of em, ex, in, pt, pc, +cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! +I'll assume that you meant to say pt, for printer's points. +To recover gracefully from this error, it's best to +delete the erroneous units; e.g., type `2' to delete +two letters. (See Chapter 27 of The TeXbook.) + +Missing character: There is no ] in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no / in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no 4 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no f in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 49--53 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.54 ...frame}{Ergodic Test: Quantifying $T_{eq}$} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no E in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no : in font nullfont! +Missing character: There is no Q in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +! Undefined control sequence. +l.56 \includegraphics + [height = 0.7\textheight]{images/fourier-5.pdf} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +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 h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 0 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 7 in font nullfont! +! Missing number, treated as zero. + + ] +l.56 ... \includegraphics[height = 0.7\textheight] + {images/fourier-5.pdf} +A number should have been here; I inserted `0'. +(If you can't figure out why I needed to see a number, +look up `weird error' in the index to The TeXbook.) + +! Illegal unit of measure (pt inserted). + + ] +l.56 ... \includegraphics[height = 0.7\textheight] + {images/fourier-5.pdf} +Dimensions can be in units of em, ex, in, pt, pc, +cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! +I'll assume that you meant to say pt, for printer's points. +To recover gracefully from this error, it's best to +delete the erroneous units; e.g., type `2' to delete +two letters. (See Chapter 27 of The TeXbook.) + +Missing character: There is no ] in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no / in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no 5 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no f in font nullfont! + +Overfull \hbox (34.0542pt too wide) in paragraph at lines 54--58 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.59 ...frame}{Ergodic Test: Quantifying $T_{eq}$} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no E in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no : in font nullfont! +Missing character: There is no Q in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +! Undefined control sequence. +l.60 \uncover + <+>{\begin{equation*} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.60 \uncover<+>{\begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + + +! LaTeX Error: \mathcal allowed only in math mode. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.61 \mathcal + {F}[f](\xi) = \hat{f}(\xi) = \frac{1}{\sqrt{2\pi}} ... + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no F in font nullfont! +Missing character: There is no [ in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no ] in font nullfont! +Missing character: There is no ( in font nullfont! +! Missing $ inserted. + + $ +l.61 \mathcal{F}[f](\xi + ) = \hat{f}(\xi) = \frac{1}{\sqrt{2\pi}} ... +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.61 ..._{-\infty}^{+\infty} f(x) e^{-i x \xi} \dd + {x} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{frame} on input line 59 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.62 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.62 \end{equation*} + } +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. + +! Undefined control sequence. +l.63 \uncover + <+>{\begin{equation*} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.63 \uncover<+>{\begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + + +! LaTeX Error: \mathcal allowed only in math mode. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.64 \mathcal + {F}^{-1}[\hat{f}](x) = f(x) = \frac{1}{\sqrt{2\pi}}... + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no F in font nullfont! +! Missing $ inserted. + + $ +l.64 \mathcal{F}^ + {-1}[\hat{f}](x) = f(x) = \frac{1}{\sqrt{2\pi}}... +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.64 ...ty}^{+\infty} \hat{f}(\xi) e^{i x \xi} \dd + {\xi} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{frame} on input line 59 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.65 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.65 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + + +Overfull \hbox (34.0542pt too wide) in paragraph at lines 59--67 +[][] + [] + + +Overfull \hbox (19.2795pt too wide) in paragraph at lines 59--67 +\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (29.14066pt too wide) in paragraph at lines 59--67 +[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (90.32266pt too wide) in paragraph at lines 59--67 +[] [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )\ +OML/cmm/m/it/10 e[]x$ + [] + + +Overfull \hbox (46.31256pt too wide) in paragraph at lines 59--67 +[]\OT1/cmr/m/n/10 [[]](\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (30.02084pt too wide) in paragraph at lines 59--67 +\OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (82.31227pt too wide) in paragraph at lines 59--67 +[] [][] []\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 )\OML/cmm/m/it/1 +0 e[]^^X$ + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.68 ...gin{frame}{Deterministic and Random Force} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no D in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no R in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no F in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +l.69 \uncover + <+>{\begin{equation*} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.69 \uncover<+>{\begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.70 \widehat + {(f + \alpha g)}(\xi) = \frac{1}{\sqrt{2\pi}} \int_... +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.70 ...sqrt{2\pi}} \int_{-\infty}^{+\infty} \prnt + {f(x) + \alpha g(x)} e^{-i... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.70 ...\prnt{f(x) + \alpha g(x)} e^{-i x \xi} \dd + {x} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{frame} on input line 68 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.71 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.71 \end{equation*} + } +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. + +! Undefined control sequence. +l.72 \uncover + <+>{\[ \Downarrow \] +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 68--72 +[][] + [] + + +Overfull \hbox (60.7031pt too wide) in paragraph at lines 68--72 +[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (127.60037pt too wide) in paragraph at lines 68--72 +[] [][] []\OML/cmm/m/it/10 e[]x$ + [] + + +Overfull \hbox (6.11111pt too wide) detected at line 72 +\OMS/cmsy/m/n/10 + + [] + + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.73 \begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.74 \widehat + {(f + \alpha g)}(\xi) = \frac{1}{\sqrt{2\pi}} \int_... +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.74 ..._{-\infty}^{+\infty} f(x) e^{-i x \xi} \dd + {x} + \frac{\alpha}{\sqrt{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.74 ..._{-\infty}^{+\infty} g(x) e^{-i x \xi} \dd + {x} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{frame} on input line 68 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.75 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.75 \end{equation*} + } +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. + +! Undefined control sequence. +l.76 \uncover + <+>{\[ \Downarrow \] +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +Overfull \hbox (60.7031pt too wide) in paragraph at lines 72--76 + $[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (98.10046pt too wide) in paragraph at lines 72--76 +[] [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )\ +OML/cmm/m/it/10 e[]x \OT1/cmr/m/n/10 + + [] + + +Overfull \hbox (89.47887pt too wide) in paragraph at lines 72--76 +[] [][] \OML/cmm/m/it/10 g\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )\ +OML/cmm/m/it/10 e[]x$ + [] + + +Overfull \hbox (6.11111pt too wide) detected at line 76 +\OMS/cmsy/m/n/10 + + [] + + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.77 \begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.78 \widehat + {(f + \alpha g)}(\xi) = \hat{f}(\xi) + \alpha \hat{... +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + + +! LaTeX Error: \begin{frame} on input line 68 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.79 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.79 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + + +Overfull \hbox (60.7031pt too wide) in paragraph at lines 76--81 + $[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (26.36295pt too wide) in paragraph at lines 76--81 +[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) + + [] + + +Overfull \hbox (24.17538pt too wide) in paragraph at lines 76--81 +\OML/cmm/m/it/10 []\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 )$ + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.82 ...gin{frame}{Deterministic and Random Force} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no D in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no R in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no F in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +l.83 \uncover + <+>{\begin{equation*} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.83 \uncover<+>{\begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.84 \widehat + {f'}(\xi) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{+... +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.84 ...{-\infty}^{+\infty} f'(x) e^{-i x \xi} \dd + {x} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{frame} on input line 82 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.85 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.85 \end{equation*} + } +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. + +! Undefined control sequence. +l.86 \uncover + <+>{\[ \Downarrow \] +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 82--86 +[][] + [] + + +Overfull \hbox (31.94621pt too wide) in paragraph at lines 82--86 +[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (93.12822pt too wide) in paragraph at lines 82--86 +[] [][] \OML/cmm/m/it/10 f[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 +)\OML/cmm/m/it/10 e[]x$ + [] + + +Overfull \hbox (6.11111pt too wide) detected at line 86 +\OMS/cmsy/m/n/10 + + [] + + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.87 \begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.88 \widehat + {f'}(\xi) = \eval{\frac{f(x) e^{-ix\xi}}{\sqrt{2\pi... +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Undefined control sequence. +l.88 \widehat{f'}(\xi) = \eval + {\frac{f(x) e^{-ix\xi}}{\sqrt{2\pi... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.88 ..._{-\infty}^{+\infty} f(x) e^{-i x \xi} \dd + {x} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{frame} on input line 82 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.89 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.89 \end{equation*} + } +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. + +! Undefined control sequence. +l.90 \uncover + <+>{\[ \Downarrow \] +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no < in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no > in font nullfont! + +Overfull \hbox (31.94621pt too wide) in paragraph at lines 86--90 + $[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (60.13045pt too wide) in paragraph at lines 86--90 +[][] \OT1/cmr/m/n/10 + + [] + + +Overfull \hbox (11.058pt too wide) in paragraph at lines 86--90 +\OML/cmm/m/it/10 i^^X \OMS/cmsy/m/n/10 ^^A + [] + + +Overfull \hbox (90.32266pt too wide) in paragraph at lines 86--90 +[] [][] \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x\OT1/cmr/m/n/10 )\ +OML/cmm/m/it/10 e[]x$ + [] + + +Overfull \hbox (6.11111pt too wide) detected at line 90 +\OMS/cmsy/m/n/10 + + [] + + +! LaTeX Error: Environment equation* undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.91 \begin{equation*} + +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.92 \widehat + {f'}(\xi) = i\xi \widehat{f}(\xi) +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + + +! LaTeX Error: \begin{frame} on input line 82 ended by \end{equation*}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.93 \end{equation*} + } +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + +! Missing $ inserted. + + $ +l.93 \end{equation*} + } +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + + +Overfull \hbox (31.94621pt too wide) in paragraph at lines 90--95 + $[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 ) = + [] + + +Overfull \hbox (26.86536pt too wide) in paragraph at lines 90--95 +\OML/cmm/m/it/10 i^^X[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^X\OT1/cmr/m/n/10 )$ + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.96 \begin{frame}{Technology Implications} + +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no T in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no I in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.98 \huge + {The inverse does work} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no T in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no k in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 96--99 + [][] + [] + + +! 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.100 \normalsize + {for appropriate functions} +Your command was ignored. +Type I to replace it with another command, +or to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.100 \normalsize{f + or appropriate functions} +You're in trouble here. Try typing to proceed. +If that doesn't work, type X to quit. + +Missing character: There is no f in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.102 \tiny + {and, sometimes, the Fourier Transform of a function is n... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.102 \tiny{a + nd, sometimes, the Fourier Transform of a function is n... + +You're in trouble here. 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Emergency stop. +<*> langevin-equation.tex + +*** (job aborted, no legal \end found) + + +Here is how much of TeX's memory you used: + 26 strings out of 474222 + 607 string characters out of 5748732 + 1928975 words of memory out of 5000000 + 22380 multiletter control sequences out of 15000+600000 + 558069 words of font info for 36 fonts, out of 8000000 for 9000 + 1141 hyphenation exceptions out of 8191 + 19i,5n,20p,252b,73s stack positions out of 10000i,1000n,20000p,200000b,200000s +! ==> Fatal error occurred, no output PDF file produced!