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| author | Christian Kolset <christian.kolset@gmail.com> | 2025-04-22 16:26:11 -0600 |
|---|---|---|
| committer | Christian Kolset <christian.kolset@gmail.com> | 2025-04-22 16:26:11 -0600 |
| commit | ec6f7800ee9afd2cf354b05883502a0a327561d2 (patch) | |
| tree | 2dcce6d294dbed8b165ecb5103d0c2f7a1e1a220 | |
| parent | f2f717926692c18f51e172de3aa22360620c7250 (diff) | |
Added latex files
30 files changed, 14164 insertions, 0 deletions
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100644 index 0000000..5d0f1b3 --- /dev/null +++ b/tutorials/module_1/latex/arrays.tex @@ -0,0 +1,829 @@ +\documentclass[11pt]{article} + + \usepackage[breakable]{tcolorbox} + \usepackage{parskip} % Stop auto-indenting (to mimic markdown behaviour) + + + % Basic figure setup, for now with no caption control since it's done + % automatically by Pandoc (which extracts  syntax from Markdown). + \usepackage{graphicx} + % Keep aspect ratio if custom image width or height is specified + \setkeys{Gin}{keepaspectratio} + % Maintain compatibility with old templates. Remove in nbconvert 6.0 + \let\Oldincludegraphics\includegraphics + % Ensure that by default, figures have no caption (until we provide a + % proper Figure object with a Caption API and a way to capture that + % in the conversion process - todo). + \usepackage{caption} + \DeclareCaptionFormat{nocaption}{} + \captionsetup{format=nocaption,aboveskip=0pt,belowskip=0pt} + + \usepackage{float} + \floatplacement{figure}{H} % forces figures to be placed at the correct location + \usepackage{xcolor} % Allow colors to be defined + \usepackage{enumerate} % Needed for markdown enumerations to work + \usepackage{geometry} % Used to adjust the document margins + \usepackage{amsmath} % Equations + \usepackage{amssymb} % Equations + \usepackage{textcomp} % defines textquotesingle + % Hack from http://tex.stackexchange.com/a/47451/13684: + \AtBeginDocument{% + \def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code + } + \usepackage{upquote} % Upright quotes for verbatim code + \usepackage{eurosym} % defines \euro + + \usepackage{iftex} + \ifPDFTeX + \usepackage[T1]{fontenc} + \IfFileExists{alphabeta.sty}{ + \usepackage{alphabeta} + }{ + \usepackage[mathletters]{ucs} + \usepackage[utf8]{inputenc} + } + \else + \usepackage{fontspec} + \usepackage{unicode-math} + \fi + + \usepackage{fancyvrb} % verbatim replacement that allows latex + \usepackage{grffile} % extends the file name processing of package graphics + % to support a larger range + \makeatletter % fix for old versions of grffile with XeLaTeX + \@ifpackagelater{grffile}{2019/11/01} + { + % Do nothing on new versions + } + { + \def\Gread@@xetex#1{% + \IfFileExists{"\Gin@base".bb}% + {\Gread@eps{\Gin@base.bb}}% + {\Gread@@xetex@aux#1}% + } + } + \makeatother + \usepackage[Export]{adjustbox} % Used to constrain images to a maximum size + \adjustboxset{max size={0.9\linewidth}{0.9\paperheight}} + + % The hyperref package gives us a pdf with properly built + % internal navigation ('pdf bookmarks' for the table of contents, + % internal cross-reference links, web links for URLs, etc.) + \usepackage{hyperref} + % The default LaTeX title has an obnoxious amount of whitespace. By default, + % titling removes some of it. It also provides customization options. + \usepackage{titling} + \usepackage{longtable} % longtable support required by pandoc >1.10 + \usepackage{booktabs} % table support for pandoc > 1.12.2 + \usepackage{array} % table support for pandoc >= 2.11.3 + \usepackage{calc} % table minipage width calculation for pandoc >= 2.11.1 + \usepackage[inline]{enumitem} % IRkernel/repr support (it uses the enumerate* environment) + \usepackage[normalem]{ulem} % ulem is needed to support strikethroughs (\sout) + % normalem makes italics be italics, not underlines + \usepackage{soul} % strikethrough (\st) support for pandoc >= 3.0.0 + \usepackage{mathrsfs} + + + + % Colors for the hyperref package + \definecolor{urlcolor}{rgb}{0,.145,.698} + \definecolor{linkcolor}{rgb}{.71,0.21,0.01} + \definecolor{citecolor}{rgb}{.12,.54,.11} + + % ANSI colors + \definecolor{ansi-black}{HTML}{3E424D} + \definecolor{ansi-black-intense}{HTML}{282C36} + \definecolor{ansi-red}{HTML}{E75C58} + \definecolor{ansi-red-intense}{HTML}{B22B31} + \definecolor{ansi-green}{HTML}{00A250} + \definecolor{ansi-green-intense}{HTML}{007427} + \definecolor{ansi-yellow}{HTML}{DDB62B} + \definecolor{ansi-yellow-intense}{HTML}{B27D12} + \definecolor{ansi-blue}{HTML}{208FFB} + \definecolor{ansi-blue-intense}{HTML}{0065CA} + \definecolor{ansi-magenta}{HTML}{D160C4} + \definecolor{ansi-magenta-intense}{HTML}{A03196} + \definecolor{ansi-cyan}{HTML}{60C6C8} + \definecolor{ansi-cyan-intense}{HTML}{258F8F} + \definecolor{ansi-white}{HTML}{C5C1B4} + \definecolor{ansi-white-intense}{HTML}{A1A6B2} + \definecolor{ansi-default-inverse-fg}{HTML}{FFFFFF} + \definecolor{ansi-default-inverse-bg}{HTML}{000000} + + % common color for the border for error outputs. + \definecolor{outerrorbackground}{HTML}{FFDFDF} + + % commands and environments needed by pandoc snippets + % extracted from the output of `pandoc -s` + \providecommand{\tightlist}{% + \setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}} + \DefineVerbatimEnvironment{Highlighting}{Verbatim}{commandchars=\\\{\}} + % Add ',fontsize=\small' for more characters per line + \newenvironment{Shaded}{}{} + \newcommand{\KeywordTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\DataTypeTok}[1]{\textcolor[rgb]{0.56,0.13,0.00}{{#1}}} + \newcommand{\DecValTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\BaseNTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\FloatTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\CharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\StringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\CommentTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textit{{#1}}}} + \newcommand{\OtherTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{{#1}}} + \newcommand{\AlertTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\FunctionTok}[1]{\textcolor[rgb]{0.02,0.16,0.49}{{#1}}} + \newcommand{\RegionMarkerTok}[1]{{#1}} + \newcommand{\ErrorTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\NormalTok}[1]{{#1}} + + % Additional commands for more recent versions of Pandoc + \newcommand{\ConstantTok}[1]{\textcolor[rgb]{0.53,0.00,0.00}{{#1}}} + \newcommand{\SpecialCharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\VerbatimStringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\SpecialStringTok}[1]{\textcolor[rgb]{0.73,0.40,0.53}{{#1}}} + \newcommand{\ImportTok}[1]{{#1}} + \newcommand{\DocumentationTok}[1]{\textcolor[rgb]{0.73,0.13,0.13}{\textit{{#1}}}} + \newcommand{\AnnotationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\CommentVarTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\VariableTok}[1]{\textcolor[rgb]{0.10,0.09,0.49}{{#1}}} + \newcommand{\ControlFlowTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\OperatorTok}[1]{\textcolor[rgb]{0.40,0.40,0.40}{{#1}}} + \newcommand{\BuiltInTok}[1]{{#1}} + \newcommand{\ExtensionTok}[1]{{#1}} + \newcommand{\PreprocessorTok}[1]{\textcolor[rgb]{0.74,0.48,0.00}{{#1}}} + \newcommand{\AttributeTok}[1]{\textcolor[rgb]{0.49,0.56,0.16}{{#1}}} + \newcommand{\InformationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\WarningTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \makeatletter + \newsavebox\pandoc@box + \newcommand*\pandocbounded[1]{% + \sbox\pandoc@box{#1}% + % scaling factors for width and height + \Gscale@div\@tempa\textheight{\dimexpr\ht\pandoc@box+\dp\pandoc@box\relax}% + \Gscale@div\@tempb\linewidth{\wd\pandoc@box}% + % select the smaller of both + \ifdim\@tempb\p@<\@tempa\p@ + \let\@tempa\@tempb + \fi + % scaling accordingly (\@tempa < 1) + \ifdim\@tempa\p@<\p@ + \scalebox{\@tempa}{\usebox\pandoc@box}% + % scaling not needed, use as it is + \else + \usebox{\pandoc@box}% + \fi + } + \makeatother + + % Define a nice break command that doesn't care if a line doesn't already + % exist. + \def\br{\hspace*{\fill} \\* } + % Math Jax compatibility definitions + \def\gt{>} + \def\lt{<} + \let\Oldtex\TeX + \let\Oldlatex\LaTeX + \renewcommand{\TeX}{\textrm{\Oldtex}} + \renewcommand{\LaTeX}{\textrm{\Oldlatex}} + % Document parameters + % Document title + \title{arrays} + + + + + + + +% Pygments definitions +\makeatletter +\def\PY@reset{\let\PY@it=\relax \let\PY@bf=\relax% + \let\PY@ul=\relax \let\PY@tc=\relax% + \let\PY@bc=\relax \let\PY@ff=\relax} +\def\PY@tok#1{\csname PY@tok@#1\endcsname} +\def\PY@toks#1+{\ifx\relax#1\empty\else% + \PY@tok{#1}\expandafter\PY@toks\fi} +\def\PY@do#1{\PY@bc{\PY@tc{\PY@ul{% + \PY@it{\PY@bf{\PY@ff{#1}}}}}}} +\def\PY#1#2{\PY@reset\PY@toks#1+\relax+\PY@do{#2}} + +\@namedef{PY@tok@w}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}} +\@namedef{PY@tok@c}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cp}{\def\PY@tc##1{\textcolor[rgb]{0.61,0.40,0.00}{##1}}} 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+\@namedef{PY@tok@cm}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cpf}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@c1}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cs}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} + +\def\PYZbs{\char`\\} +\def\PYZus{\char`\_} +\def\PYZob{\char`\{} +\def\PYZcb{\char`\}} +\def\PYZca{\char`\^} +\def\PYZam{\char`\&} +\def\PYZlt{\char`\<} +\def\PYZgt{\char`\>} +\def\PYZsh{\char`\#} +\def\PYZpc{\char`\%} +\def\PYZdl{\char`\$} +\def\PYZhy{\char`\-} +\def\PYZsq{\char`\'} +\def\PYZdq{\char`\"} +\def\PYZti{\char`\~} +% for compatibility with earlier versions +\def\PYZat{@} +\def\PYZlb{[} +\def\PYZrb{]} +\makeatother + + + % For linebreaks inside Verbatim environment from package fancyvrb. + \makeatletter + \newbox\Wrappedcontinuationbox + \newbox\Wrappedvisiblespacebox + \newcommand*\Wrappedvisiblespace {\textcolor{red}{\textvisiblespace}} + \newcommand*\Wrappedcontinuationsymbol {\textcolor{red}{\llap{\tiny$\m@th\hookrightarrow$}}} + \newcommand*\Wrappedcontinuationindent {3ex } + \newcommand*\Wrappedafterbreak {\kern\Wrappedcontinuationindent\copy\Wrappedcontinuationbox} + % Take advantage of the already applied Pygments mark-up to insert + % potential linebreaks for TeX processing. + % {, <, #, %, $, ' and ": go to next line. + % _, }, ^, &, >, - and ~: stay at end of broken line. + % Use of \textquotesingle for straight quote. + \newcommand*\Wrappedbreaksatspecials {% + \def\PYGZus{\discretionary{\char`\_}{\Wrappedafterbreak}{\char`\_}}% + \def\PYGZob{\discretionary{}{\Wrappedafterbreak\char`\{}{\char`\{}}% + \def\PYGZcb{\discretionary{\char`\}}{\Wrappedafterbreak}{\char`\}}}% + \def\PYGZca{\discretionary{\char`\^}{\Wrappedafterbreak}{\char`\^}}% + \def\PYGZam{\discretionary{\char`\&}{\Wrappedafterbreak}{\char`\&}}% + \def\PYGZlt{\discretionary{}{\Wrappedafterbreak\char`\<}{\char`\<}}% + \def\PYGZgt{\discretionary{\char`\>}{\Wrappedafterbreak}{\char`\>}}% + \def\PYGZsh{\discretionary{}{\Wrappedafterbreak\char`\#}{\char`\#}}% + \def\PYGZpc{\discretionary{}{\Wrappedafterbreak\char`\%}{\char`\%}}% + \def\PYGZdl{\discretionary{}{\Wrappedafterbreak\char`\$}{\char`\$}}% + \def\PYGZhy{\discretionary{\char`\-}{\Wrappedafterbreak}{\char`\-}}% + \def\PYGZsq{\discretionary{}{\Wrappedafterbreak\textquotesingle}{\textquotesingle}}% + \def\PYGZdq{\discretionary{}{\Wrappedafterbreak\char`\"}{\char`\"}}% + \def\PYGZti{\discretionary{\char`\~}{\Wrappedafterbreak}{\char`\~}}% + } + % Some characters . , ; ? ! / are not pygmentized. + % This macro makes them "active" and they will insert potential linebreaks + \newcommand*\Wrappedbreaksatpunct {% + \lccode`\~`\.\lowercase{\def~}{\discretionary{\hbox{\char`\.}}{\Wrappedafterbreak}{\hbox{\char`\.}}}% + \lccode`\~`\,\lowercase{\def~}{\discretionary{\hbox{\char`\,}}{\Wrappedafterbreak}{\hbox{\char`\,}}}% + \lccode`\~`\;\lowercase{\def~}{\discretionary{\hbox{\char`\;}}{\Wrappedafterbreak}{\hbox{\char`\;}}}% + \lccode`\~`\:\lowercase{\def~}{\discretionary{\hbox{\char`\:}}{\Wrappedafterbreak}{\hbox{\char`\:}}}% + \lccode`\~`\?\lowercase{\def~}{\discretionary{\hbox{\char`\?}}{\Wrappedafterbreak}{\hbox{\char`\?}}}% + \lccode`\~`\!\lowercase{\def~}{\discretionary{\hbox{\char`\!}}{\Wrappedafterbreak}{\hbox{\char`\!}}}% + \lccode`\~`\/\lowercase{\def~}{\discretionary{\hbox{\char`\/}}{\Wrappedafterbreak}{\hbox{\char`\/}}}% + \catcode`\.\active + \catcode`\,\active + \catcode`\;\active + \catcode`\:\active + \catcode`\?\active + \catcode`\!\active + \catcode`\/\active + \lccode`\~`\~ + } + \makeatother + + \let\OriginalVerbatim=\Verbatim + \makeatletter + \renewcommand{\Verbatim}[1][1]{% + %\parskip\z@skip + \sbox\Wrappedcontinuationbox {\Wrappedcontinuationsymbol}% + \sbox\Wrappedvisiblespacebox {\FV@SetupFont\Wrappedvisiblespace}% + \def\FancyVerbFormatLine ##1{\hsize\linewidth + \vtop{\raggedright\hyphenpenalty\z@\exhyphenpenalty\z@ + \doublehyphendemerits\z@\finalhyphendemerits\z@ + \strut ##1\strut}% + }% + % If the linebreak is at a space, the latter will be displayed as visible + % space at end of first line, and a continuation symbol starts next line. + % Stretch/shrink are however usually zero for typewriter font. + \def\FV@Space {% + \nobreak\hskip\z@ plus\fontdimen3\font minus\fontdimen4\font + \discretionary{\copy\Wrappedvisiblespacebox}{\Wrappedafterbreak} + {\kern\fontdimen2\font}% + }% + + % Allow breaks at special characters using \PYG... macros. + \Wrappedbreaksatspecials + % Breaks at punctuation characters . , ; ? ! and / need catcode=\active + \OriginalVerbatim[#1,codes*=\Wrappedbreaksatpunct]% + } + \makeatother + + % Exact colors from NB + \definecolor{incolor}{HTML}{303F9F} + \definecolor{outcolor}{HTML}{D84315} + \definecolor{cellborder}{HTML}{CFCFCF} + \definecolor{cellbackground}{HTML}{F7F7F7} + + % prompt + \makeatletter + \newcommand{\boxspacing}{\kern\kvtcb@left@rule\kern\kvtcb@boxsep} + \makeatother + \newcommand{\prompt}[4]{ + {\ttfamily\llap{{\color{#2}[#3]:\hspace{3pt}#4}}\vspace{-\baselineskip}} + } + + + + % Prevent overflowing lines due to hard-to-break entities + \sloppy + % Setup hyperref package + \hypersetup{ + breaklinks=true, % so long urls are correctly broken across lines + colorlinks=true, + urlcolor=urlcolor, + linkcolor=linkcolor, + citecolor=citecolor, + } + % Slightly bigger margins than the latex defaults + + \geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in} + + + +\begin{document} + + \maketitle + + + + + \hypertarget{matrixarrays}{% +\section{matrixArrays}\label{matrixarrays}} + +In computer programming, an array is a structure for storing and +retrieving data. We often talk about an array as if it were a grid in +space, with each cell storing one element of the data. For instance, if +each element of the data were a number, we might visualize a +``one-dimensional'' array like a list: + +\begin{longtable}[]{@{}llll@{}} +\toprule +1 & 5 & 2 & 0 \\ +\midrule +\endhead +\bottomrule +\end{longtable} + +A two-dimensional array would be like a table: + +\begin{longtable}[]{@{}llll@{}} +\toprule +1 & 5 & 2 & 0 \\ +\midrule +\endhead +8 & 3 & 6 & 1 \\ +1 & 7 & 2 & 9 \\ +\bottomrule +\end{longtable} + +A three-dimensional array would be like a set of tables, perhaps stacked +as though they were printed on separate pages. If we visualize the +position of each element as a position in space. Then we can represent +the value of the element as a property. In other words, if we were to +analyze the stress concentration of an aluminum block, the property +would be stress. + +\begin{itemize} +\tightlist +\item + From + \href{https://numpy.org/doc/2.2/user/absolute_beginners.html}{Numpy + documentation} + +\end{itemize} + +If the load on this block changes over time, then we may want to add a +4th dimension i.e.~additional sets of 3-D arrays for each time +increment. As you can see - the more dimensions we add, the more +complicated of a problem we have to solve. It is possible to increase +the number of dimensions to the n-th order. This course we will not be +going beyond dimensional analysis. + +\begin{center}\rule{0.5\linewidth}{0.5pt}\end{center} + +\hypertarget{numpy---the-pythons-array-library}{% +\section{Numpy - the python's array +library}\label{numpy---the-pythons-array-library}} + +In this tutorial we will be introducing arrays and we will be using the +numpy library. Arrays, lists, vectors, matrices, sets - You might've +heard of them before, they all store data. In programming, an array is a +variable that can hold more than one value at a time. We will be using +the Numpy python library to create arrays. Since we already have +installed Numpy previously, we can start using the package. + +Before importing our first package, let's as ourselves \emph{what is a +package?} A package can be thought of as pre-written python code that we +can re-use. This means the for every script that we write in python we +need to tell it to use a certain package. We call this importing a +package. + +\hypertarget{importing-numpy}{% +\subsection{Importing Numpy}\label{importing-numpy}} + +When using packages in python, we need to let it know what package we +will be using. This is called importing. To import numpy we need to +declare it a the start of a script as follows: + +\begin{Shaded} +\begin{Highlighting}[] +\ImportTok{import}\NormalTok{ numpy }\ImportTok{as}\NormalTok{ np} +\end{Highlighting} +\end{Shaded} + +\begin{itemize} +\tightlist +\item + \texttt{import} - calls for a library to use, in our case it is Numpy. +\item + \texttt{as} - gives the library an alias in your script. It's common + convention in Python programming to make the code shorter and more + readable. We will be using \emph{np} as it's a standard using in many + projects. +\end{itemize} + +\begin{center}\rule{0.5\linewidth}{0.5pt}\end{center} + +\hypertarget{creating-arrays}{% +\section{Creating arrays}\label{creating-arrays}} + +Now that we have imported the library we can create a one dimensional +array or \emph{vector} with three elements. + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{x }\OperatorTok{=}\NormalTok{ np.array([}\DecValTok{1}\NormalTok{,}\DecValTok{2}\NormalTok{,}\DecValTok{3}\NormalTok{])} +\end{Highlighting} +\end{Shaded} + +To create a \emph{matrix} we can nest the arrays to create a two +dimensional array. This is done as follows. + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{matrix }\OperatorTok{=}\NormalTok{ np.array([[}\DecValTok{1}\NormalTok{,}\DecValTok{2}\NormalTok{,}\DecValTok{3}\NormalTok{],} +\NormalTok{ [}\DecValTok{4}\NormalTok{,}\DecValTok{5}\NormalTok{,}\DecValTok{6}\NormalTok{],} +\NormalTok{ [}\DecValTok{7}\NormalTok{,}\DecValTok{8}\NormalTok{,}\DecValTok{9}\NormalTok{]])} +\end{Highlighting} +\end{Shaded} + +\emph{Note: for every array we nest, we get a new dimension in our data +structure.} + + \hypertarget{display-arrays}{% +\section{Display arrays}\label{display-arrays}} + +Using command print("") Accessing particular elements of an array +\ldots.. + + \hypertarget{practice-problem}{% +\section{Practice Problem}\label{practice-problem}} + +Problem statement + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{1}{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] +\PY{k+kn}{import} \PY{n+nn}{numpy} \PY{k}{as} \PY{n+nn}{np} + +\PY{n}{x} \PY{o}{=} \PY{n}{np}\PY{o}{.}\PY{n}{array}\PY{p}{(}\PY{p}{[}\PY{l+m+mi}{7}\PY{p}{,} \PY{l+m+mi}{10} \PY{p}{,}\PY{l+m+mi}{12}\PY{p}{]}\PY{p}{)} + +\PY{n+nb}{print}\PY{p}{(}\PY{n}{x}\PY{p}{)} + +\PY{n+nb}{print}\PY{p}{(}\PY{n}{x}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{)} +\end{Verbatim} +\end{tcolorbox} + + \begin{Verbatim}[commandchars=\\\{\}] +[ 7 10 12] +10 + \end{Verbatim} + + \hypertarget{numpy-array-creation-functions}{% +\subsection{Numpy array creation +functions}\label{numpy-array-creation-functions}} + +Numpy comes with some built-in function that we can use to create arrays +quickly. Here are a couple of functions that are commonly used in +python. + +\hypertarget{np.arange}{% +\subsubsection{np.arange}\label{np.arange}} + +The \texttt{np.arange()} function returns an array with evenly spaced +values within a specified range. It is similar to the built-in +\texttt{range()} function in Python but returns a Numpy array instead of +a list. The parameters for this function are the start value +(inclusive), the stop value (exclusive), and the step size. If the step +size is not provided, it defaults to 1. + +\begin{Shaded} +\begin{Highlighting}[] +\OperatorTok{\textgreater{}\textgreater{}\textgreater{}}\NormalTok{ np.arange(}\DecValTok{4}\NormalTok{)} +\NormalTok{array([}\FloatTok{0.}\NormalTok{ , }\FloatTok{1.}\NormalTok{, }\FloatTok{2.}\NormalTok{, }\FloatTok{3.}\NormalTok{ ])} +\end{Highlighting} +\end{Shaded} + +In this example, \texttt{np.arange(4)} generates an array starting from +0 and ending before 4, with a step size of 1. + +\hypertarget{np.linspace}{% +\subsubsection{np.linspace}\label{np.linspace}} + +The \texttt{np.linspace()} function returns an array of evenly spaced +values over a specified range. Unlike \texttt{np.arange()}, which uses a +step size to define the spacing between elements, \texttt{np.linspace()} +uses the number of values you want to generate and calculates the +spacing automatically. It accepts three parameters: the start value, the +stop value, and the number of samples. + +\begin{Shaded} +\begin{Highlighting}[] +\OperatorTok{\textgreater{}\textgreater{}\textgreater{}}\NormalTok{ np.linspace(}\FloatTok{1.}\NormalTok{, }\FloatTok{4.}\NormalTok{, }\DecValTok{6}\NormalTok{)} +\NormalTok{array([}\FloatTok{1.}\NormalTok{ , }\FloatTok{1.6}\NormalTok{, }\FloatTok{2.2}\NormalTok{, }\FloatTok{2.8}\NormalTok{, }\FloatTok{3.4}\NormalTok{, }\FloatTok{4.}\NormalTok{ ])} +\end{Highlighting} +\end{Shaded} + +In this example, \texttt{np.linspace(1.,\ 4.,\ 6)} generates 6 evenly +spaced values between 1. and 4., including both endpoints. + +Try this and see what happens: + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{x }\OperatorTok{=}\NormalTok{ np.linspace(}\DecValTok{0}\NormalTok{,}\DecValTok{100}\NormalTok{,}\DecValTok{101}\NormalTok{)} +\NormalTok{y }\OperatorTok{=}\NormalTok{ np.sin(x)} +\end{Highlighting} +\end{Shaded} + +\hypertarget{other-useful-functions}{% +\subsubsection{Other useful functions}\label{other-useful-functions}} + +\begin{itemize} +\tightlist +\item + \texttt{np.zeros()} +\item + \texttt{np.ones()} +\item + \texttt{np.eye()} +\end{itemize} + + \hypertarget{practice-problem}{% +\subsection{Practice problem}\label{practice-problem}} + +Problem statement below + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{2}{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] +\PY{n}{y}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{linspace}\PY{p}{(}\PY{l+m+mi}{10}\PY{p}{,}\PY{l+m+mi}{20}\PY{p}{,}\PY{l+m+mi}{5}\PY{p}{)} +\PY{n+nb}{print}\PY{p}{(}\PY{n}{y}\PY{p}{)} +\end{Verbatim} +\end{tcolorbox} + + \begin{Verbatim}[commandchars=\\\{\}] +[10. 12.5 15. 17.5 20. ] + \end{Verbatim} + + \hypertarget{working-with-arrays}{% +\subsection{Working with Arrays}\label{working-with-arrays}} + +Now that we have been introduced to some ways to create arrays using the +Numpy functions let's start using them. + +\hypertarget{indexing}{% +\subsubsection{Indexing}\label{indexing}} + +Indexing in Python allows you to access specific elements within an +array based on their position. This means you can directly retrieve and +manipulate individual items as needed. + +Python uses \textbf{zero-based indexing}, meaning the first element is +at position \textbf{0} rather than \textbf{1}. This approach is common +in many programming languages. For example, in a list with five +elements, the first element is at index \texttt{0}, followed by elements +at indices \texttt{1}, \texttt{2}, \texttt{3}, and \texttt{4}. + +Here's an example of data from a rocket test stand where thrust was +recorded as a function of time. + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{thrust\_lbf }\OperatorTok{=}\NormalTok{ np.array(}\FloatTok{0.603355}\NormalTok{, }\FloatTok{2.019083}\NormalTok{, }\FloatTok{2.808092}\NormalTok{, }\FloatTok{4.054973}\NormalTok{, }\FloatTok{1.136618}\NormalTok{, }\FloatTok{0.943668}\NormalTok{)} + +\OperatorTok{\textgreater{}\textgreater{}\textgreater{}}\NormalTok{ thrust\_lbs[}\DecValTok{3}\NormalTok{]} +\end{Highlighting} +\end{Shaded} + +Due to the nature of zero-based indexing. If we want to call the value +\texttt{4.054973} that will be the 3rd index. + +\hypertarget{operations-on-arrays}{% +\subsubsection{Operations on arrays}\label{operations-on-arrays}} + +\begin{itemize} +\tightlist +\item + Arithmetic operations (\texttt{+}, \texttt{-}, \texttt{*}, \texttt{/}, + \texttt{**}) +\item + \texttt{np.add()}, \texttt{np.subtract()}, \texttt{np.multiply()}, + \texttt{np.divide()} +\item + \texttt{np.dot()} for dot product +\item + \texttt{np.matmul()} for matrix multiplication +\item + \texttt{np.linalg.inv()}, \texttt{np.linalg.det()} for linear algebra +\end{itemize} + +\hypertarget{statistics}{% +\paragraph{Statistics}\label{statistics}} + +\begin{itemize} +\tightlist +\item + \texttt{np.mean()}, \texttt{np.median()}, \texttt{np.std()}, + \texttt{np.var()} +\item + \texttt{np.min()}, \texttt{np.max()}, \texttt{np.argmin()}, + \texttt{np.argmax()} +\item + Summation along axes: \texttt{np.sum(arr,\ axis=0)} +\end{itemize} + +\hypertarget{combining-arrays}{% +\paragraph{Combining arrays}\label{combining-arrays}} + +\begin{itemize} +\tightlist +\item + Concatenation: \texttt{np.concatenate((arr1,\ arr2),\ axis=0)} +\item + Stacking: \texttt{np.vstack()}, \texttt{np.hstack()} +\item + Splitting: \texttt{np.split()} +\end{itemize} + + \hypertarget{exercise}{% +\section{Exercise}\label{exercise}} + +Let's solve a statics problem given the following problem + +A simply supported bridge of length L=20L = 20L=20 m is subjected to +three point loads: + +\begin{itemize} +\tightlist +\item + \(P1=1010 kN\) at \(x=5m\) +\item + \(P2=15 kN\) at \(x=10m\) +\item + \(P3=20 kN\) at \(x=15m\) +\end{itemize} + +The bridge is supported by two reaction forces at points AAA (left +support) and BBB (right support). We assume the bridge is in static +equilibrium, meaning the sum of forces and sum of moments about any +point must be zero. + +\hypertarget{equilibrium-equations}{% +\paragraph{Equilibrium Equations:}\label{equilibrium-equations}} + +\begin{enumerate} +\def\labelenumi{\arabic{enumi}.} +\item + \textbf{Sum of Forces in the Vertical Direction}: + + \(R_A + R_B - P_1 - P_2 - P_3 = 0\) +\item + \textbf{Sum of Moments About Point A}: + + \(5 P_1 + 10 P_2 + 15 P_3 - 20 R_B = 0\) +\item + \textbf{Sum of Moments About Point B}: + + \(20 R_A - 15 P_3 - 10 P_2 - 5 P_1 = 0\) +\end{enumerate} + +\hypertarget{system-of-equations}{% +\paragraph{System of Equations:}\label{system-of-equations}} + +\[ +\begin{cases} +R_A + R_B - 10 - 15 - 20 = 0 \\ +5 \cdot 10 + 10 \cdot 15 + 15 \cdot 20 - 20 R_B = 0 \\ +20 R_A - 5 \cdot 10 - 10 \cdot 15 - 15 \cdot 20 = 0 +\end{cases} +\] + + \hypertarget{solution}{% +\subsubsection{Solution}\label{solution}} + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{3}{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] +\PY{k+kn}{import} \PY{n+nn}{numpy} \PY{k}{as} \PY{n+nn}{np} + +\PY{c+c1}{\PYZsh{} Define the coefficient matrix A} +\PY{n}{A} \PY{o}{=} \PY{n}{np}\PY{o}{.}\PY{n}{array}\PY{p}{(}\PY{p}{[} + \PY{p}{[}\PY{l+m+mi}{1}\PY{p}{,} \PY{l+m+mi}{1}\PY{p}{]}\PY{p}{,} + \PY{p}{[}\PY{l+m+mi}{0}\PY{p}{,} \PY{o}{\PYZhy{}}\PY{l+m+mi}{20}\PY{p}{]}\PY{p}{,} + \PY{p}{[}\PY{l+m+mi}{20}\PY{p}{,} \PY{l+m+mi}{0}\PY{p}{]} +\PY{p}{]}\PY{p}{)} + +\PY{c+c1}{\PYZsh{} Define the right\PYZhy{}hand side vector b} +\PY{n}{b} \PY{o}{=} \PY{n}{np}\PY{o}{.}\PY{n}{array}\PY{p}{(}\PY{p}{[} + \PY{l+m+mi}{45}\PY{p}{,} + \PY{l+m+mi}{5}\PY{o}{*}\PY{l+m+mi}{10} \PY{o}{+} \PY{l+m+mi}{10}\PY{o}{*}\PY{l+m+mi}{15} \PY{o}{+} \PY{l+m+mi}{15}\PY{o}{*}\PY{l+m+mi}{20}\PY{p}{,} + \PY{l+m+mi}{5}\PY{o}{*}\PY{l+m+mi}{10} \PY{o}{+} \PY{l+m+mi}{10}\PY{o}{*}\PY{l+m+mi}{15} \PY{o}{+} \PY{l+m+mi}{15}\PY{o}{*}\PY{l+m+mi}{20} +\PY{p}{]}\PY{p}{)} + +\PY{c+c1}{\PYZsh{} Solve the system of equations Ax = b} +\PY{c+c1}{\PYZsh{} Using least squares to handle potential overdetermination} +\PY{n}{x} \PY{o}{=} \PY{n}{np}\PY{o}{.}\PY{n}{linalg}\PY{o}{.}\PY{n}{lstsq}\PY{p}{(}\PY{n}{A}\PY{p}{,} \PY{n}{b}\PY{p}{,} \PY{n}{rcond}\PY{o}{=}\PY{k+kc}{None}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{0}\PY{p}{]} + +\PY{c+c1}{\PYZsh{} Display the results} +\PY{n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Reaction force at A (R\PYZus{}A): }\PY{l+s+si}{\PYZob{}}\PY{n}{x}\PY{p}{[}\PY{l+m+mi}{0}\PY{p}{]}\PY{l+s+si}{:}\PY{l+s+s2}{.2f}\PY{l+s+si}{\PYZcb{}}\PY{l+s+s2}{ kN}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)} +\PY{n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Reaction force at B (R\PYZus{}B): }\PY{l+s+si}{\PYZob{}}\PY{n}{x}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{l+s+si}{:}\PY{l+s+s2}{.2f}\PY{l+s+si}{\PYZcb{}}\PY{l+s+s2}{ kN}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)} +\end{Verbatim} 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Remove in nbconvert 6.0 + \let\Oldincludegraphics\includegraphics + % Ensure that by default, figures have no caption (until we provide a + % proper Figure object with a Caption API and a way to capture that + % in the conversion process - todo). + \usepackage{caption} + \DeclareCaptionFormat{nocaption}{} + \captionsetup{format=nocaption,aboveskip=0pt,belowskip=0pt} + + \usepackage{float} + \floatplacement{figure}{H} % forces figures to be placed at the correct location + \usepackage{xcolor} % Allow colors to be defined + \usepackage{enumerate} % Needed for markdown enumerations to work + \usepackage{geometry} % Used to adjust the document margins + \usepackage{amsmath} % Equations + \usepackage{amssymb} % Equations + \usepackage{textcomp} % defines textquotesingle + + % Hack from http://tex.stackexchange.com/a/47451/13684: + \AtBeginDocument{% + \def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code + } + \usepackage{upquote} % Upright quotes for verbatim code + \usepackage{eurosym} % defines \euro + + \usepackage{iftex} + \ifPDFTeX + \usepackage[T1]{fontenc} + \IfFileExists{alphabeta.sty}{ + \usepackage{alphabeta} + }{ + \usepackage[mathletters]{ucs} + \usepackage[utf8]{inputenc} + } + \else + \usepackage{fontspec} + \usepackage{unicode-math} + \fi + + \usepackage{fancyvrb} % verbatim replacement that allows latex + \usepackage{grffile} % extends the file name processing of package graphics + % to support a larger range + \makeatletter % fix for old versions of grffile with XeLaTeX + \@ifpackagelater{grffile}{2019/11/01} + { + % Do nothing on new versions + } + { + \def\Gread@@xetex#1{% + \IfFileExists{"\Gin@base".bb}% + {\Gread@eps{\Gin@base.bb}}% + {\Gread@@xetex@aux#1}% + } + } + \makeatother + \usepackage[Export]{adjustbox} % Used to constrain images to a maximum size + \adjustboxset{max size={0.9\linewidth}{0.9\paperheight}} + + % The hyperref package gives us a pdf with properly built + % internal navigation ('pdf bookmarks' for the table of contents, + % internal cross-reference links, web links for URLs, etc.) + \usepackage{hyperref} + % The default LaTeX title has an obnoxious amount of whitespace. By default, + % titling removes some of it. It also provides customization options. + \usepackage{titling} + \usepackage{longtable} % longtable support required by pandoc >1.10 + \usepackage{booktabs} % table support for pandoc > 1.12.2 + \usepackage{array} % table support for pandoc >= 2.11.3 + \usepackage{calc} % table minipage width calculation for pandoc >= 2.11.1 + \usepackage[inline]{enumitem} % IRkernel/repr support (it uses the enumerate* environment) + \usepackage[normalem]{ulem} % ulem is needed to support strikethroughs (\sout) + % normalem makes italics be italics, not underlines + \usepackage{soul} % strikethrough (\st) support for pandoc >= 3.0.0 + \usepackage{mathrsfs} + + + + % Colors for the hyperref package + \definecolor{urlcolor}{rgb}{0,.145,.698} + \definecolor{linkcolor}{rgb}{.71,0.21,0.01} + \definecolor{citecolor}{rgb}{.12,.54,.11} + + % ANSI colors + \definecolor{ansi-black}{HTML}{3E424D} + \definecolor{ansi-black-intense}{HTML}{282C36} + \definecolor{ansi-red}{HTML}{E75C58} + \definecolor{ansi-red-intense}{HTML}{B22B31} + \definecolor{ansi-green}{HTML}{00A250} + \definecolor{ansi-green-intense}{HTML}{007427} + \definecolor{ansi-yellow}{HTML}{DDB62B} + \definecolor{ansi-yellow-intense}{HTML}{B27D12} + \definecolor{ansi-blue}{HTML}{208FFB} + \definecolor{ansi-blue-intense}{HTML}{0065CA} + \definecolor{ansi-magenta}{HTML}{D160C4} + \definecolor{ansi-magenta-intense}{HTML}{A03196} + \definecolor{ansi-cyan}{HTML}{60C6C8} + \definecolor{ansi-cyan-intense}{HTML}{258F8F} + \definecolor{ansi-white}{HTML}{C5C1B4} + \definecolor{ansi-white-intense}{HTML}{A1A6B2} + \definecolor{ansi-default-inverse-fg}{HTML}{FFFFFF} + \definecolor{ansi-default-inverse-bg}{HTML}{000000} + + % common color for the border for error outputs. + \definecolor{outerrorbackground}{HTML}{FFDFDF} + + % commands and environments needed by pandoc snippets + % extracted from the output of `pandoc -s` + \providecommand{\tightlist}{% + \setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}} + \DefineVerbatimEnvironment{Highlighting}{Verbatim}{commandchars=\\\{\}} + % Add ',fontsize=\small' for more characters per line + \newenvironment{Shaded}{}{} + \newcommand{\KeywordTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\DataTypeTok}[1]{\textcolor[rgb]{0.56,0.13,0.00}{{#1}}} + \newcommand{\DecValTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\BaseNTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\FloatTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\CharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\StringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\CommentTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textit{{#1}}}} + \newcommand{\OtherTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{{#1}}} + \newcommand{\AlertTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\FunctionTok}[1]{\textcolor[rgb]{0.02,0.16,0.49}{{#1}}} + \newcommand{\RegionMarkerTok}[1]{{#1}} + \newcommand{\ErrorTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\NormalTok}[1]{{#1}} + + % Additional commands for more recent versions of Pandoc + \newcommand{\ConstantTok}[1]{\textcolor[rgb]{0.53,0.00,0.00}{{#1}}} + \newcommand{\SpecialCharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\VerbatimStringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\SpecialStringTok}[1]{\textcolor[rgb]{0.73,0.40,0.53}{{#1}}} + \newcommand{\ImportTok}[1]{{#1}} + \newcommand{\DocumentationTok}[1]{\textcolor[rgb]{0.73,0.13,0.13}{\textit{{#1}}}} + \newcommand{\AnnotationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\CommentVarTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\VariableTok}[1]{\textcolor[rgb]{0.10,0.09,0.49}{{#1}}} + \newcommand{\ControlFlowTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\OperatorTok}[1]{\textcolor[rgb]{0.40,0.40,0.40}{{#1}}} + \newcommand{\BuiltInTok}[1]{{#1}} + \newcommand{\ExtensionTok}[1]{{#1}} + \newcommand{\PreprocessorTok}[1]{\textcolor[rgb]{0.74,0.48,0.00}{{#1}}} + \newcommand{\AttributeTok}[1]{\textcolor[rgb]{0.49,0.56,0.16}{{#1}}} + \newcommand{\InformationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\WarningTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \makeatletter + \newsavebox\pandoc@box + \newcommand*\pandocbounded[1]{% + \sbox\pandoc@box{#1}% + % scaling factors for width and height + \Gscale@div\@tempa\textheight{\dimexpr\ht\pandoc@box+\dp\pandoc@box\relax}% + \Gscale@div\@tempb\linewidth{\wd\pandoc@box}% + % select the smaller of both + \ifdim\@tempb\p@<\@tempa\p@ + \let\@tempa\@tempb + \fi + % scaling accordingly (\@tempa < 1) + \ifdim\@tempa\p@<\p@ + \scalebox{\@tempa}{\usebox\pandoc@box}% + % scaling not needed, use as it is + \else + \usebox{\pandoc@box}% + \fi + } + \makeatother + + % Define a nice break command that doesn't care if a line doesn't already + % exist. + \def\br{\hspace*{\fill} \\* } + % Math Jax compatibility definitions + \def\gt{>} + \def\lt{<} + \let\Oldtex\TeX + \let\Oldlatex\LaTeX + \renewcommand{\TeX}{\textrm{\Oldtex}} + \renewcommand{\LaTeX}{\textrm{\Oldlatex}} + % Document parameters + % Document title + \title{basics\_of\_python} + + + + + + + +% Pygments definitions +\makeatletter +\def\PY@reset{\let\PY@it=\relax \let\PY@bf=\relax% + \let\PY@ul=\relax \let\PY@tc=\relax% + \let\PY@bc=\relax \let\PY@ff=\relax} +\def\PY@tok#1{\csname PY@tok@#1\endcsname} +\def\PY@toks#1+{\ifx\relax#1\empty\else% + \PY@tok{#1}\expandafter\PY@toks\fi} +\def\PY@do#1{\PY@bc{\PY@tc{\PY@ul{% + \PY@it{\PY@bf{\PY@ff{#1}}}}}}} +\def\PY#1#2{\PY@reset\PY@toks#1+\relax+\PY@do{#2}} + +\@namedef{PY@tok@w}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}} +\@namedef{PY@tok@c}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cp}{\def\PY@tc##1{\textcolor[rgb]{0.61,0.40,0.00}{##1}}} +\@namedef{PY@tok@k}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kp}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kt}{\def\PY@tc##1{\textcolor[rgb]{0.69,0.00,0.25}{##1}}} +\@namedef{PY@tok@o}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@ow}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}} +\@namedef{PY@tok@nb}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@nf}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\@namedef{PY@tok@nc}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\@namedef{PY@tok@nn}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\@namedef{PY@tok@ne}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.80,0.25,0.22}{##1}}} +\@namedef{PY@tok@nv}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@no}{\def\PY@tc##1{\textcolor[rgb]{0.53,0.00,0.00}{##1}}} +\@namedef{PY@tok@nl}{\def\PY@tc##1{\textcolor[rgb]{0.46,0.46,0.00}{##1}}} +\@namedef{PY@tok@ni}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.44,0.44,0.44}{##1}}} +\@namedef{PY@tok@na}{\def\PY@tc##1{\textcolor[rgb]{0.41,0.47,0.13}{##1}}} +\@namedef{PY@tok@nt}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@nd}{\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}} +\@namedef{PY@tok@s}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@sd}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@si}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.64,0.35,0.47}{##1}}} +\@namedef{PY@tok@se}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.36,0.12}{##1}}} +\@namedef{PY@tok@sr}{\def\PY@tc##1{\textcolor[rgb]{0.64,0.35,0.47}{##1}}} +\@namedef{PY@tok@ss}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@sx}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@m}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@gh}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}} +\@namedef{PY@tok@gu}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.50,0.00,0.50}{##1}}} +\@namedef{PY@tok@gd}{\def\PY@tc##1{\textcolor[rgb]{0.63,0.00,0.00}{##1}}} +\@namedef{PY@tok@gi}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.52,0.00}{##1}}} +\@namedef{PY@tok@gr}{\def\PY@tc##1{\textcolor[rgb]{0.89,0.00,0.00}{##1}}} +\@namedef{PY@tok@ge}{\let\PY@it=\textit} +\@namedef{PY@tok@gs}{\let\PY@bf=\textbf} +\@namedef{PY@tok@gp}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}} +\@namedef{PY@tok@go}{\def\PY@tc##1{\textcolor[rgb]{0.44,0.44,0.44}{##1}}} +\@namedef{PY@tok@gt}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.27,0.87}{##1}}} +\@namedef{PY@tok@err}{\def\PY@bc##1{{\setlength{\fboxsep}{\string -\fboxrule}\fcolorbox[rgb]{1.00,0.00,0.00}{1,1,1}{\strut ##1}}}} +\@namedef{PY@tok@kc}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kd}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kn}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kr}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@bp}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@fm}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\@namedef{PY@tok@vc}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@vg}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@vi}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@vm}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@sa}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@sb}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@sc}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@dl}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@s2}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@sh}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@s1}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@mb}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@mf}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@mh}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@mi}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@il}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@mo}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@ch}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cm}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cpf}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@c1}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cs}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} + +\def\PYZbs{\char`\\} +\def\PYZus{\char`\_} +\def\PYZob{\char`\{} +\def\PYZcb{\char`\}} +\def\PYZca{\char`\^} +\def\PYZam{\char`\&} +\def\PYZlt{\char`\<} +\def\PYZgt{\char`\>} +\def\PYZsh{\char`\#} +\def\PYZpc{\char`\%} +\def\PYZdl{\char`\$} +\def\PYZhy{\char`\-} +\def\PYZsq{\char`\'} +\def\PYZdq{\char`\"} +\def\PYZti{\char`\~} +% for compatibility with earlier versions +\def\PYZat{@} +\def\PYZlb{[} +\def\PYZrb{]} +\makeatother + + + % For linebreaks inside Verbatim environment from package fancyvrb. + \makeatletter + \newbox\Wrappedcontinuationbox + \newbox\Wrappedvisiblespacebox + \newcommand*\Wrappedvisiblespace {\textcolor{red}{\textvisiblespace}} + \newcommand*\Wrappedcontinuationsymbol {\textcolor{red}{\llap{\tiny$\m@th\hookrightarrow$}}} + \newcommand*\Wrappedcontinuationindent {3ex } + \newcommand*\Wrappedafterbreak {\kern\Wrappedcontinuationindent\copy\Wrappedcontinuationbox} + % Take advantage of the already applied Pygments mark-up to insert + % potential linebreaks for TeX processing. + % {, <, #, %, $, ' and ": go to next line. + % _, }, ^, &, >, - and ~: stay at end of broken line. + % Use of \textquotesingle for straight quote. + \newcommand*\Wrappedbreaksatspecials {% + \def\PYGZus{\discretionary{\char`\_}{\Wrappedafterbreak}{\char`\_}}% + \def\PYGZob{\discretionary{}{\Wrappedafterbreak\char`\{}{\char`\{}}% + \def\PYGZcb{\discretionary{\char`\}}{\Wrappedafterbreak}{\char`\}}}% + \def\PYGZca{\discretionary{\char`\^}{\Wrappedafterbreak}{\char`\^}}% + \def\PYGZam{\discretionary{\char`\&}{\Wrappedafterbreak}{\char`\&}}% + \def\PYGZlt{\discretionary{}{\Wrappedafterbreak\char`\<}{\char`\<}}% + \def\PYGZgt{\discretionary{\char`\>}{\Wrappedafterbreak}{\char`\>}}% + \def\PYGZsh{\discretionary{}{\Wrappedafterbreak\char`\#}{\char`\#}}% + \def\PYGZpc{\discretionary{}{\Wrappedafterbreak\char`\%}{\char`\%}}% + \def\PYGZdl{\discretionary{}{\Wrappedafterbreak\char`\$}{\char`\$}}% + \def\PYGZhy{\discretionary{\char`\-}{\Wrappedafterbreak}{\char`\-}}% + \def\PYGZsq{\discretionary{}{\Wrappedafterbreak\textquotesingle}{\textquotesingle}}% + \def\PYGZdq{\discretionary{}{\Wrappedafterbreak\char`\"}{\char`\"}}% + \def\PYGZti{\discretionary{\char`\~}{\Wrappedafterbreak}{\char`\~}}% + } + % Some characters . , ; ? ! / are not pygmentized. + % This macro makes them "active" and they will insert potential linebreaks + \newcommand*\Wrappedbreaksatpunct {% + \lccode`\~`\.\lowercase{\def~}{\discretionary{\hbox{\char`\.}}{\Wrappedafterbreak}{\hbox{\char`\.}}}% + \lccode`\~`\,\lowercase{\def~}{\discretionary{\hbox{\char`\,}}{\Wrappedafterbreak}{\hbox{\char`\,}}}% + \lccode`\~`\;\lowercase{\def~}{\discretionary{\hbox{\char`\;}}{\Wrappedafterbreak}{\hbox{\char`\;}}}% + \lccode`\~`\:\lowercase{\def~}{\discretionary{\hbox{\char`\:}}{\Wrappedafterbreak}{\hbox{\char`\:}}}% + \lccode`\~`\?\lowercase{\def~}{\discretionary{\hbox{\char`\?}}{\Wrappedafterbreak}{\hbox{\char`\?}}}% + \lccode`\~`\!\lowercase{\def~}{\discretionary{\hbox{\char`\!}}{\Wrappedafterbreak}{\hbox{\char`\!}}}% + \lccode`\~`\/\lowercase{\def~}{\discretionary{\hbox{\char`\/}}{\Wrappedafterbreak}{\hbox{\char`\/}}}% + \catcode`\.\active + \catcode`\,\active + \catcode`\;\active + \catcode`\:\active + \catcode`\?\active + \catcode`\!\active + \catcode`\/\active + \lccode`\~`\~ + } + \makeatother + + \let\OriginalVerbatim=\Verbatim + \makeatletter + \renewcommand{\Verbatim}[1][1]{% + %\parskip\z@skip + \sbox\Wrappedcontinuationbox {\Wrappedcontinuationsymbol}% + \sbox\Wrappedvisiblespacebox {\FV@SetupFont\Wrappedvisiblespace}% + \def\FancyVerbFormatLine ##1{\hsize\linewidth + \vtop{\raggedright\hyphenpenalty\z@\exhyphenpenalty\z@ + \doublehyphendemerits\z@\finalhyphendemerits\z@ + \strut ##1\strut}% + }% + % If the linebreak is at a space, the latter will be displayed as visible + % space at end of first line, and a continuation symbol starts next line. + % Stretch/shrink are however usually zero for typewriter font. + \def\FV@Space {% + \nobreak\hskip\z@ plus\fontdimen3\font minus\fontdimen4\font + \discretionary{\copy\Wrappedvisiblespacebox}{\Wrappedafterbreak} + {\kern\fontdimen2\font}% + }% + + % Allow breaks at special characters using \PYG... macros. + \Wrappedbreaksatspecials + % Breaks at punctuation characters . , ; ? ! and / need catcode=\active + \OriginalVerbatim[#1,codes*=\Wrappedbreaksatpunct]% + } + \makeatother + + % Exact colors from NB + \definecolor{incolor}{HTML}{303F9F} + \definecolor{outcolor}{HTML}{D84315} + \definecolor{cellborder}{HTML}{CFCFCF} + \definecolor{cellbackground}{HTML}{F7F7F7} + + % prompt + \makeatletter + \newcommand{\boxspacing}{\kern\kvtcb@left@rule\kern\kvtcb@boxsep} + \makeatother + \newcommand{\prompt}[4]{ + {\ttfamily\llap{{\color{#2}[#3]:\hspace{3pt}#4}}\vspace{-\baselineskip}} + } + + + + % Prevent overflowing lines due to hard-to-break entities + \sloppy + % Setup hyperref package + \hypersetup{ + breaklinks=true, % so long urls are correctly broken across lines + colorlinks=true, + urlcolor=urlcolor, + linkcolor=linkcolor, + citecolor=citecolor, + } + % Slightly bigger margins than the latex defaults + + \geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in} + + + +\begin{document} + + \maketitle + + + + + \hypertarget{basics-of-python}{ +\section{Basics of Python}\label{basics-of-python}} + +This page contains important fundamental concepts used in Python such as +syntax, operators, order or precedence and more. + + \hypertarget{syntax}{% +\subsection{Syntax}\label{syntax}} + +\hypertarget{indentations-and-blocks}{% +\subsubsection{Indentations and blocks}\label{indentations-and-blocks}} + +In python \emph{indentations} or the space at the start of each line, +signifies a block of code. This becomes important when we start working +with function and loops. We will talk more about this in the controls +structures tutorial. + +\hypertarget{comments}{% +\subsubsection{Comments}\label{comments}} + +Comments can be added to your code using the hash operator (\#). Any +text behind the comment operator till the end of the line will be +rendered as a comment. If you have an entire block of text or code that +needs to be commented out, the triple quotation marks (""") can be used. +Once used all the code after it will be considered a comment until the +comment is ended with the triple quotation marks. + + \hypertarget{operators}{% +\subsection{Operators}\label{operators}} + +In python, operators are special symbols or keywords that perform +operations on values or variables. This section covers some of the most +common operator that you will see in this course. + +\hypertarget{arithmetic-operators}{% +\subsubsection{Arithmetic operators}\label{arithmetic-operators}} + +\begin{longtable}[]{@{}ll@{}} +\toprule +Operator & Name \\ +\midrule +\endhead ++ & Addition \\ +- & Subtraction \\ +* & Multiplication \\ +/ & Division \\ +\% & Modulus \\ +** & Exponentiation \\ +// & Floor division \\ +\bottomrule +\end{longtable} + +\hypertarget{comparison-operators}{% +\subsubsection{Comparison operators}\label{comparison-operators}} + +Used in conditional statements such as \texttt{if} statements or +\texttt{while} loops. Note that in the computer world a double equal +sign (\texttt{==}) means \emph{is equal to}, where as the single equal +sign assigns the variable or defines the variable to be something. + +\begin{longtable}[]{@{}ll@{}} +\toprule +Operator & Name \\ +\midrule +\endhead +== & Equal \\ +!= & Not equal \\ +\textgreater{} & Greater than \\ +\textless{} & Less than \\ +\textgreater= & Greater than or equal to \\ +\textless= & Less than or equal to \\ +\bottomrule +\end{longtable} + +\hypertarget{logical-operators}{% +\subsubsection{Logical operators}\label{logical-operators}} + +\begin{longtable}[]{@{}ll@{}} +\toprule +Operator & Descrription \\ +\midrule +\endhead +\texttt{and} & Returns True if both statemetns are true \\ +\texttt{or} & Returns True if one of the statements is true \\ +\texttt{not} & Reerse the result, returns False if the result is true \\ +\bottomrule +\end{longtable} + +\hypertarget{identity-operators}{% +\subsubsection{Identity operators}\label{identity-operators}} + +\begin{longtable}[]{@{}ll@{}} +\toprule +Operator & Description \\ +\midrule +\endhead +is & Returns True if both variables are the same object \\ +is not & Returns True if both variables are not the same object \\ +\bottomrule +\end{longtable} + + \hypertarget{order-of-operation}{% +\subsection{Order of Operation}\label{order-of-operation}} + +Similarly to the order or precedence in mathematics, different computer +languages have their own set of rules. Here is a comprehensive table of +the order of operation that python follows. + +\begin{longtable}[]{@{} + >{\raggedright\arraybackslash}p{(\columnwidth - 2\tabcolsep) * \real{0.51}} + >{\raggedright\arraybackslash}p{(\columnwidth - 2\tabcolsep) * \real{0.49}}@{}} +\toprule +Operator & Description \\ +\midrule +\endhead +\texttt{()} & Parentheses \\ +\texttt{**} & Exponentiation \\ +\texttt{+x} \texttt{-x} \texttt{\textasciitilde{}x} & Unary plus, unary +minus, and bitwise NOT \\ +\texttt{*} \texttt{/} \texttt{//} \texttt{\%} & Multiplication, +Division, floor division, and modulus \\ +\texttt{+} \texttt{-} & Addition and subtraction \\ +\texttt{\textless{}\textless{}} \texttt{\textgreater{}\textgreater{}} & +Bitwise left and right shifts \\ +\& & Bitwise AND \\ +\^{} & Bitwise XOR \\ +\textbar{} & Bitwise OR \\ +\texttt{==} \texttt{!=} \texttt{\textgreater{}} \texttt{\textgreater{}=} +\texttt{\textless{}} \texttt{\textless{}=} \texttt{is} \texttt{is\ not} +\texttt{in} \texttt{not\ in} & Comparision, identity and membership +operators \\ +\texttt{not} & logical NOT \\ +\texttt{and} & AND \\ +\texttt{or} & OR \\ +\bottomrule +\end{longtable} + + \hypertarget{data-types}{% +\subsection{Data types}\label{data-types}} + +Data types are different ways a computer stores data. Other data types +use fewer bits than others allowing you to better utilize your computer +memory. This is important for engineers because The most common data +types that an engineer encounters in python are numeric types. - +\texttt{int} - integer - \texttt{float} - a decimal number - +\texttt{complex} - imaginary number + +The comprehensive table below show all built-in data types available in +python. + +\begin{longtable}[]{@{}ll@{}} +\toprule +Category & Data Type \\ +\midrule +\endhead +Text & int, float, complex \\ +Sequance & list, tuple, range \\ +Mapping & dict \\ +Set & set, frozenset \\ +Boolean & bytes, bytearray, memoryview \\ +Binary & bytes, bytearray, memoryview \\ +None & NoneType \\ +\bottomrule +\end{longtable} + + \hypertarget{variables}{% +\subsection{Variables}\label{variables}} + +A \textbf{variable} in Python is a name that stores a value, allowing +you to use and manipulate data efficiently. + +\hypertarget{declaring-and-assigning-variables}{% +\paragraph{Declaring and Assigning +Variables}\label{declaring-and-assigning-variables}} + +It is common in low-level computer languages to declare the datatype if +the variable. In python, the datatype is set whilst you assign it. We +assign values to variables using a single \texttt{=}. + +```python + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{1}{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] +\PY{n}{x} \PY{o}{=} \PY{l+m+mi}{33} \PY{c+c1}{\PYZsh{} Integer} +\PY{n}{y} \PY{o}{=} \PY{l+m+mf}{3.14} \PY{c+c1}{\PYZsh{} Float} +\PY{n}{name} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Joe}\PY{l+s+s2}{\PYZdq{}} \PY{c+c1}{\PYZsh{} String} +\PY{n}{is\PYZus{}valid} \PY{o}{=} \PY{k+kc}{True} \PY{c+c1}{\PYZsh{} Boolean} + +\PY{n+nb}{print}\PY{p}{(}\PY{n}{x}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{o}{+}\PY{l+m+mi}{3}\PY{o}{*}\PY{n}{y}\PY{p}{)} +\end{Verbatim} +\end{tcolorbox} + + \begin{Verbatim}[commandchars=\\\{\}] +1098.42 + \end{Verbatim} + + Change the x and y values above, re-run the cell to see what happens. + +You can assign multiple variables at once: + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{a, b, c }\OperatorTok{=} \DecValTok{1}\NormalTok{, }\DecValTok{2}\NormalTok{, }\DecValTok{3} +\end{Highlighting} +\end{Shaded} + +Similarly we can assign the same value to multiple variables: + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{x }\OperatorTok{=}\NormalTok{ y }\OperatorTok{=}\NormalTok{ z }\OperatorTok{=} \DecValTok{100} +\end{Highlighting} +\end{Shaded} + + \hypertarget{rules}{% +\subparagraph{Rules}\label{rules}} + +\begin{itemize} +\tightlist +\item + Must start with a letter or \texttt{\_} +\item + Cannot start with a number +\item + Can only contain letters, numbers, and \texttt{\_} +\item + Case-sensitive (\texttt{Name} and \texttt{name} are different) +\end{itemize} + +\hypertarget{updating-variables}{% +\paragraph{Updating Variables}\label{updating-variables}} + +You can change a variable's value at any time. + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{x }\OperatorTok{=} \DecValTok{5} +\NormalTok{x }\OperatorTok{=}\NormalTok{ x }\OperatorTok{+} \DecValTok{10} \CommentTok{\# Now x is 15} +\end{Highlighting} +\end{Shaded} + +Or shorthand: + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{x }\OperatorTok{+=} \DecValTok{10} \CommentTok{\# Same as x = x + 10} +\end{Highlighting} +\end{Shaded} + +\hypertarget{variable-types-type-checking}{% +\paragraph{Variable Types \& Type +Checking}\label{variable-types-type-checking}} + +Use \texttt{type()} to check a variable's type. + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{2}{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] +\PY{n}{x} \PY{o}{=} \PY{l+m+mi}{10} +\PY{n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{ Variable x is type: }\PY{l+s+si}{\PYZob{}}\PY{n+nb}{type}\PY{p}{(}\PY{n}{x}\PY{p}{)}\PY{l+s+si}{\PYZcb{}}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + +\PY{n}{y} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Hello}\PY{l+s+s2}{\PYZdq{}} +\PY{n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{ Variable y is type: }\PY{l+s+si}{\PYZob{}}\PY{n+nb}{type}\PY{p}{(}\PY{n}{y}\PY{p}{)}\PY{l+s+si}{\PYZcb{}}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} +\end{Verbatim} +\end{tcolorbox} + + \begin{Verbatim}[commandchars=\\\{\}] + Variable x is type: <class 'int'> + Variable y is type: <class 'str'> + \end{Verbatim} + + \hypertarget{exercise}{% +\section{Exercise}\label{exercise}} + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{ }{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] + +\end{Verbatim} +\end{tcolorbox} + + + % Add a bibliography block to the postdoc + + + +\end{document} diff --git a/tutorials/module_1/latex/basics_of_python_chapter.aux b/tutorials/module_1/latex/basics_of_python_chapter.aux new file mode 100644 index 0000000..166a068 --- /dev/null +++ b/tutorials/module_1/latex/basics_of_python_chapter.aux @@ -0,0 +1,90 @@ 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+Missing character: There is no s in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no W in font nullfont! +Missing character: There is no e 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no 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 c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r 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 s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u 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 u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 17--21 +[] + [] + + +Overfull \hbox (12.26659pt too wide) in paragraph at lines 17--21 +\OT1/cmr/m/it/10 in- + [] + + +Overfull \hbox (18.91098pt too wide) in paragraph at lines 17--21 +\OT1/cmr/m/it/10 den- + [] + + +Overfull \hbox (12.01102pt too wide) in paragraph at lines 17--21 +\OT1/cmr/m/it/10 ta- + [] + + +Overfull \hbox (21.21098pt too wide) in paragraph at lines 17--21 +\OT1/cmr/m/it/10 tions + [] + +! Undefined control sequence. +l.22 \hypertarget + {comments}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.22 \hypertarget{c + omments}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.23 \subsubsection + {Comments}\label{comments}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no C in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 22--24 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.25 C + omments can be added to your code using the hash operator (\#). Any +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no C in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 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 b 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 d 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 d in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no h 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 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no # in font nullfont! +Missing character: There is no ) 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 n in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n 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 e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no e 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no . 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 o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no v 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 n in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no b 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 c in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 o in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 u in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no 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 t in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no q in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 m 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 k 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 " in font nullfont! +Missing character: There is no " in font nullfont! +Missing character: There is no " in font nullfont! +Missing character: There is no ) in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no O in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no u 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 a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no 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 c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no 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 d in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no 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 c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d 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 w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no q in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 m 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 k in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 25--31 +[] + [] + +! Undefined control sequence. +l.32 \hypertarget + {operators}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.32 \hypertarget{o + perators}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no o in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.33 \subsection + {Operators}\label{operators}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no O in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 32--34 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.35 I + n python, operators are special symbols or keywords that perform +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no I in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no p 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no 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 s in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r 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 y 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 d 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 h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r 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 m 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 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 t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no 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 s in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no o 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 p 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h 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 y 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 w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 35--38 +[] + [] + +! Undefined control sequence. +l.39 \hypertarget + {arithmetic-operators}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.39 \hypertarget{a + rithmetic-operators}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 - 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 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.40 \subsubsection + {Arithmetic operators}\label{arithmetic-operators}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no A in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 o in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 39--41 +[] + [] + + +! LaTeX Error: Environment longtable undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.42 \begin{longtable} + []{@{}ll@{}} +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.42 \begin{longtable}[ + ]{@{}ll@{}} +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no @ in font nullfont! +! Undefined control sequence. +l.43 \toprule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no O in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +! Misplaced alignment tab character &. +l.44 Operator & + Name \\ +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 N in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +<recently read> \midrule + +l.45 \midrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.46 \endhead + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no + in font nullfont! +! Misplaced alignment tab character &. +l.47 + & + Addition \\ +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 A in font nullfont! +Missing character: There is no d 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 t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no - in font nullfont! +! Misplaced alignment tab character &. +l.48 - & + Subtraction \\ +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 S in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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! +! Misplaced alignment tab character &. +<recently read> & + +l.49 * & + Multiplication \\ +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 M in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i 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 / in font nullfont! +! Misplaced alignment tab character &. +l.50 / & + Division \\ +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 D in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no % in font nullfont! +! Misplaced alignment tab character &. +l.51 \% & + Modulus \\ +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 M 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 u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no * in font nullfont! +! Misplaced alignment tab character &. +l.52 ** & + Exponentiation \\ +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 E in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no 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 t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no / in font nullfont! +Missing character: There is no / in font nullfont! +! Misplaced alignment tab character &. +l.53 // & + Floor division \\ +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 F 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 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 v in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +! Undefined control sequence. +<recently read> \bottomrule + +l.54 \bottomrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{document} ended by \end{longtable}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.55 \end{longtable} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 42--56 +[] + [] + +! Undefined control sequence. +l.57 \hypertarget + {comparison-operators}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.57 \hypertarget{c + omparison-operators}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no - 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 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.58 \subsubsection + {Comparison operators}\label{comparison-operators}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no C in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 57--59 +[] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.60 U + sed in conditional statements such as \texttt{if} statements or +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no U 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 i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no 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 a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s 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 l in font nullfont! +Missing character: There is no o 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 s in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h 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 n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r 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 l in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no d 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 l in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no ) in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n 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 w 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 r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 l in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h 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 a 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 e in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no 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 h 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 a 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no 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 . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 60--64 +[] + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 60--64 +\OT1/cmtt/m/n/10 if + [] + + +Overfull \hbox (26.24977pt too wide) in paragraph at lines 60--64 +\OT1/cmtt/m/n/10 while + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 60--64 +\OT1/cmtt/m/n/10 == + [] + + +Overfull \hbox (7.15552pt too wide) in paragraph at lines 60--64 +\OT1/cmr/m/it/10 is + [] + + +Overfull \hbox (21.72206pt too wide) in paragraph at lines 60--64 +\OT1/cmr/m/it/10 equal + [] + + +Overfull \hbox (8.43327pt too wide) in paragraph at lines 60--64 +\OT1/cmr/m/it/10 to + [] + + +! LaTeX Error: Environment longtable undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.65 \begin{longtable} + []{@{}ll@{}} +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.65 \begin{longtable}[ + ]{@{}ll@{}} +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no @ in font nullfont! +! Undefined control sequence. +l.66 \toprule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no O in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +! Misplaced alignment tab character &. +l.67 Operator & + Name \\ +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 N in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +<recently read> \midrule + +l.68 \midrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.69 \endhead + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +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! +! Misplaced alignment tab character &. +l.70 == & + Equal \\ +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 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 l in font nullfont! +Missing character: There is no ! in font nullfont! +Missing character: There is no = in font nullfont! +! Misplaced alignment tab character &. +l.71 != & + Not equal \\ +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 N in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 l in font nullfont! +LaTeX Font Info: Trying to load font information for OML+cmr on input line 7 +2. +(/usr/share/texmf-dist/tex/latex/base/omlcmr.fd +File: omlcmr.fd 2024/11/19 v2.5n Standard LaTeX font definitions +) +LaTeX Font Info: Font shape `OML/cmr/m/n' in size <10> not available +(Font) Font shape `OML/cmm/m/it' tried instead on input line 72. + +! Misplaced alignment tab character &. +l.72 \textgreater{} & + Greater than \\ +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 G in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +! Misplaced alignment tab character &. +l.73 \textless{} & + Less than \\ +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 L in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s 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 a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no = in font nullfont! +! Misplaced alignment tab character &. +l.74 \textgreater= & + Greater than or equal to \\ +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 G in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 l in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no = in font nullfont! +! Misplaced alignment tab character &. +l.75 \textless= & + Less than or equal to \\ +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 L in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s 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 a 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 r 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 l in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +! Undefined control sequence. +<recently read> \bottomrule + +l.76 \bottomrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{document} ended by \end{longtable}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.77 \end{longtable} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 65--78 +[] + [] + + +Overfull \hbox (7.7778pt too wide) in paragraph at lines 65--78 +\OML/cmm/m/it/10 > + [] + + +Overfull \hbox (7.7778pt too wide) in paragraph at lines 65--78 +\OML/cmm/m/it/10 < + [] + + +Overfull \hbox (7.7778pt too wide) in paragraph at lines 65--78 +\OML/cmm/m/it/10 > + [] + + +Overfull \hbox (7.7778pt too wide) in paragraph at lines 65--78 +\OML/cmm/m/it/10 < + [] + +! Undefined control sequence. +l.79 \hypertarget + {logical-operators}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.79 \hypertarget{l + ogical-operators}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +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 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 l in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no p 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.80 \subsubsection + {Logical operators}\label{logical-operators}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no L in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no g 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 l 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 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 79--81 +[] + [] + + +! LaTeX Error: Environment longtable undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.82 \begin{longtable} + []{@{}ll@{}} +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.82 \begin{longtable}[ + ]{@{}ll@{}} +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no @ in font nullfont! +! Undefined control sequence. +l.83 \toprule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no O in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +! Misplaced alignment tab character &. +l.84 Operator & + Descrription \\ +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 D in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no r 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 p in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +! Undefined control sequence. +<recently read> \midrule + +l.85 \midrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.86 \endhead + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Misplaced alignment tab character &. +l.87 \texttt{and} & + Returns True if both statemetns are true \\ +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 R in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +! Misplaced alignment tab character &. +l.88 \texttt{or} & + Returns True if one of the statements is true \\ +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 R in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s 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 r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +! Misplaced alignment tab character &. +l.89 \texttt{not} & + Reerse the result, returns False if the result is true \\ +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 R in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 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 r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l 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 r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no F 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 s 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 f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l 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 s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +<recently read> \bottomrule + +l.90 \bottomrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{document} ended by \end{longtable}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.91 \end{longtable} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 82--92 +[] + [] + + +Overfull \hbox (15.74986pt too wide) in paragraph at lines 82--92 +\OT1/cmtt/m/n/10 and + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 82--92 +\OT1/cmtt/m/n/10 or + [] + + +Overfull \hbox (15.74986pt too wide) in paragraph at lines 82--92 +\OT1/cmtt/m/n/10 not + [] + +! Undefined control sequence. +l.93 \hypertarget + {identity-operators}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.93 \hypertarget{i + dentity-operators}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no i in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t 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 o in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.94 \subsubsection + {Identity operators}\label{identity-operators}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no I in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no p 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 93--95 +[] + [] + + +! LaTeX Error: Environment longtable undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.96 \begin{longtable} + []{@{}ll@{}} +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.96 \begin{longtable}[ + ]{@{}ll@{}} +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no @ in font nullfont! +! Undefined control sequence. +l.97 \toprule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no O in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +! Misplaced alignment tab character &. +l.98 Operator & + Description \\ +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 D in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +! Undefined control sequence. +<recently read> \midrule + +l.99 \midrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.100 \endhead + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +! Misplaced alignment tab character &. +l.101 is & + Returns True if both variables are the same object \\ +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 R in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no j in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +! Misplaced alignment tab character &. +l.102 is not & + Returns True if both variables are not the same object \\ +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 R in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no j in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no t in font nullfont! +! Undefined control sequence. +<recently read> \bottomrule + +l.103 \bottomrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{document} ended by \end{longtable}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.104 \end{longtable} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 96--105 +[] + [] + +! Undefined control sequence. +l.106 \hypertarget + {order-of-operation}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.106 \hypertarget{o + rder-of-operation}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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 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 o 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 o in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r 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! +! Undefined control sequence. +l.107 \subsection + {Order of Operation}\label{order-of-operation}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +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 e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no f 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 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 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 106--108 +[] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.109 S + imilarly to the order or precedence in mathematics, different computer +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no S in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no 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 o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 s in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no 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 c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no 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 h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no H 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 i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e 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 n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no v 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 a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no 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 o 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 p 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 t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 109--112 +[] + [] + + +! LaTeX Error: Environment longtable undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.113 \begin{longtable} + []{@{} +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.113 \begin{longtable}[ + ]{@{} +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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! +! Undefined control sequence. +l.114 >{\raggedright\arraybackslash + }p{(\columnwidth - 2\tabcolsep) * \real... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no ) in font nullfont! +Missing character: There is no * in font nullfont! +! Undefined control sequence. +l.114 ...sh}p{(\columnwidth - 2\tabcolsep) * \real + {0.51}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no 0 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 5 in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no > in font nullfont! +! Undefined control sequence. +l.115 >{\raggedright\arraybackslash + }p{(\columnwidth - 2\tabcolsep) * \real... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ( in font nullfont! +Missing character: There is no ) in font nullfont! +Missing character: There is no * in font nullfont! +! Undefined control sequence. +l.115 ...sh}p{(\columnwidth - 2\tabcolsep) * \real + {0.49}}@{}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no 0 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 4 in font nullfont! +Missing character: There is no 9 in font nullfont! +Missing character: There is no @ in font nullfont! +! Undefined control sequence. +l.116 \toprule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no O in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +! Misplaced alignment tab character &. +l.117 Operator & + Description \\ +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 D in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +! Undefined control sequence. +<recently read> \midrule + +l.118 \midrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.119 \endhead + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Misplaced alignment tab character &. +l.120 \texttt{()} & + Parentheses \\ +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 P in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +! Misplaced alignment tab character &. +l.121 \texttt{**} & + Exponentiation \\ +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 E in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no 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 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! +! Misplaced alignment tab character &. +l.122 ...\texttt{-x} \texttt{\textasciitilde{}x} & + Unary plus, unary +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 U 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 p in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no 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 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 u in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no O in font nullfont! +Missing character: There is no T in font nullfont! +! Misplaced alignment tab character &. +l.124 ...t{*} \texttt{/} \texttt{//} \texttt{\%} & + Multiplication, +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 M in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i 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 , in font nullfont! +Missing character: There is no D in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no f 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 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 v in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no , 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 m 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 u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no s in font nullfont! +! Misplaced alignment tab character &. +l.126 \texttt{+} \texttt{-} & + Addition and subtraction \\ +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 A in font nullfont! +Missing character: There is no d 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 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 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 s in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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! +LaTeX Font Info: Trying to load font information for OML+cmtt on input line +127. +LaTeX Font Info: No file OMLcmtt.fd. on input line 127. + +LaTeX Font Warning: Font shape `OML/cmtt/m/n' undefined +(Font) using `OML/cmm/m/it' instead +(Font) for symbol `textless' on input line 127. + +! Misplaced alignment tab character &. +l.127 ...} \texttt{\textgreater{}\textgreater{}} & + +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 B in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 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 s in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no & in font nullfont! +! Misplaced alignment tab character &. +l.129 \& & + Bitwise AND \\ +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 B in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no A in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no D in font nullfont! +LaTeX Font Info: Trying to load font information for +cmr on input line 130. + +LaTeX Font Info: No file cmr.fd. on input line 130. + +LaTeX Font Warning: Font shape `/cmr/m/n' undefined +(Font) using `/cmr/m/n' instead on input line 130. + +! Corrupted NFSS tables. +wrong@fontshape ...message {Corrupted NFSS tables} + error@fontshape else let f... +l.130 \^{} + & Bitwise XOR \\ +This error message was generated by an \errmessage +command, so I can't give any explicit help. +Pretend that you're Hercule Poirot: Examine all clues, +and deduce the truth by order and method. + + +LaTeX Font Warning: Font shape `/cmr/m/n' undefined +(Font) using `OT1/cmr/m/n' instead on input line 130. + +! Misplaced alignment tab character &. +l.130 \^{} & + Bitwise XOR \\ +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 B in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no X in font nullfont! +Missing character: There is no O in font nullfont! +Missing character: There is no R in font nullfont! +LaTeX Font Info: Trying to load font information for OMS+cmr on input line 1 +31. +(/usr/share/texmf-dist/tex/latex/base/omscmr.fd +File: omscmr.fd 2024/11/19 v2.5n Standard LaTeX font definitions +) +LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10> not available +(Font) Font shape `OMS/cmsy/m/n' tried instead on input line 131. + +! Misplaced alignment tab character &. +l.131 \textbar{} & + Bitwise OR \\ +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 B in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no O in font nullfont! +Missing character: There is no R in font nullfont! +! Misplaced alignment tab character &. +l.134 \texttt{in} \texttt{not\ in} & + Comparision, identity and membership +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 C in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no , 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 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 t in font nullfont! +Missing character: There is no y 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 m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no p 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 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +! Misplaced alignment tab character &. +l.136 \texttt{not} & + logical NOT \\ +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 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 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 l in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no O in font nullfont! +Missing character: There is no T in font nullfont! +! Misplaced alignment tab character &. +l.137 \texttt{and} & + AND \\ +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 A in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no D in font nullfont! +! Misplaced alignment tab character &. +l.138 \texttt{or} & + OR \\ +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 O in font nullfont! +Missing character: There is no R in font nullfont! +! Undefined control sequence. +<recently read> \bottomrule + +l.139 \bottomrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{document} ended by \end{longtable}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.140 \end{longtable} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 113--141 +[] + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 () + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 ** + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 +x + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 -x + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 ~x + [] + + +Overfull \hbox (5.24995pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 * + [] + + +Overfull \hbox (5.24995pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 / + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 // + [] + + +Overfull \hbox (5.24995pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 % + [] + + +Overfull \hbox (5.24995pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 + + [] + + +Overfull \hbox (5.24995pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 - + [] + + +Overfull \hbox (15.5556pt too wide) in paragraph at lines 113--141 +\OML/cmtt/m/n/10 << + [] + + +Overfull \hbox (15.5556pt too wide) in paragraph at lines 113--141 +\OML/cmtt/m/n/10 >> + [] + + +Overfull \hbox (5.00002pt too wide) in paragraph at lines 113--141 +\/cmr/m/n/10 ^ + [] + + +Overfull \hbox (2.77779pt too wide) in paragraph at lines 113--141 +\OMS/cmsy/m/n/10 j + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 == + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 != + [] + + +Overfull \hbox (7.7778pt too wide) in paragraph at lines 113--141 +\OML/cmtt/m/n/10 > + [] + + +Overfull \hbox (13.02776pt too wide) in paragraph at lines 113--141 +\OML/cmtt/m/n/10 >\OT1/cmtt/m/n/10 = + [] + + +Overfull \hbox (7.7778pt too wide) in paragraph at lines 113--141 +\OML/cmtt/m/n/10 < + [] + + +Overfull \hbox (13.02776pt too wide) in paragraph at lines 113--141 +\OML/cmtt/m/n/10 <\OT1/cmtt/m/n/10 = + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 is + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 is + [] + + +Overfull \hbox (15.74986pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 not + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 in + [] + + +Overfull \hbox (15.74986pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 not + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 in + [] + + +Overfull \hbox (15.74986pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 not + [] + + +Overfull \hbox (15.74986pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 and + [] + + +Overfull \hbox (10.49991pt too wide) in paragraph at lines 113--141 +\OT1/cmtt/m/n/10 or + [] + +! Undefined control sequence. +l.142 \hypertarget + {data-types}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.142 \hypertarget{d + ata-types}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no d 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 a in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.143 \subsection + {Data types}\label{data-types}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no D in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 142--144 +[] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.145 D + ata types are different ways a computer stores data. Other data types +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no D 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 a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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! 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+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 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 n 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 b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 145--151 +[] + [] + + +Overfull \hbox (15.74986pt too wide) in paragraph at lines 145--151 +\OT1/cmtt/m/n/10 int + [] + + +Overfull \hbox (26.24977pt too wide) in paragraph at lines 145--151 +\OT1/cmtt/m/n/10 float + [] + + +Overfull \hbox (36.74968pt too wide) in paragraph at lines 145--151 +\OT1/cmtt/m/n/10 complex + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.152 T + he comprehensive table below show all built-in data types available in +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +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 c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e 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 n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no v 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 a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b 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 t in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d 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 a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a 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 a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 152--154 +[] + [] + + +! LaTeX Error: Environment longtable undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.155 \begin{longtable} + []{@{}ll@{}} +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.155 \begin{longtable}[ + ]{@{}ll@{}} +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no @ in font nullfont! +! Undefined control sequence. +l.156 \toprule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no C in font nullfont! +Missing character: There is no 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 g 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 y in font nullfont! +! Misplaced alignment tab character &. +l.157 Category & + Data Type \\ +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 D 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 a in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +<recently read> \midrule + +l.158 \midrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.159 \endhead + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' 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 e in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no t in font nullfont! +! Misplaced alignment tab character &. +l.160 Text & + int, float, complex \\ +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 i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no f 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 a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no S 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 n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +! Misplaced alignment tab character &. +l.161 Sequance & + list, tuple, range \\ +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 l in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no M 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 i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +! Misplaced alignment tab character &. +l.162 Mapping & + dict \\ +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 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 S in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +! Misplaced alignment tab character &. +l.163 Set & + set, frozenset \\ +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 s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no f 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 z in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no B in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no o 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 n in font nullfont! +! Misplaced alignment tab character &. +l.164 Boolean & + bytes, bytearray, memoryview \\ +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 b in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no y 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 e in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no B 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! +! Misplaced alignment tab character &. +l.165 Binary & + bytes, bytearray, memoryview \\ +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 b in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 r in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no y 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 e in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no e in font nullfont! +! Misplaced alignment tab character &. +l.166 None & + NoneType \\ +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 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 e in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +<recently read> \bottomrule + +l.167 \bottomrule + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + + +! LaTeX Error: \begin{document} ended by \end{longtable}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.168 \end{longtable} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 155--169 +[] + [] + +! Undefined control sequence. +l.170 \hypertarget + {variables}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.170 \hypertarget{v + ariables}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no v 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 i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.171 \subsection + {Variables}\label{variables}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no V 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 i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 170--172 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.173 A + \textbf{variable} in Python is a name that stores a value, allowing +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no A in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no P in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no o 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 a 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 m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no 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 y in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e 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 m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no 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 e in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a 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 f in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no 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 l in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 173--175 +[] + [] + + +Overfull \hbox (22.78459pt too wide) in paragraph at lines 173--175 +\OT1/cmr/bx/n/10 vari- + [] + + +Overfull \hbox (20.44432pt too wide) in paragraph at lines 173--175 +\OT1/cmr/bx/n/10 able + [] + +! Undefined control sequence. +l.176 \hypertarget + {declaring-and-assigning-variables}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.176 \hypertarget{d + eclaring-and-assigning-variables}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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 c in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r 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 - 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 - in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g 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 - in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.177 \paragraph + {Declaring and Assigning +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no D in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a 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 n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no A in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g 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 V 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 i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 176--179 +[] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.180 I + t is common in low-level computer languages to declare the datatype if +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no I in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no l 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 e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no 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 t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no f in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h 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 a 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no . 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 p in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no 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 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 d 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 a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no l 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 y 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 a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no W 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 s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 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 a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 180--183 +[] + [] + + +Overfull \hbox (5.24995pt too wide) in paragraph at lines 180--183 +\OT1/cmtt/m/n/10 = + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.184 ` + ``python +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> 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 p in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 184--185 +[] + [] + + +! LaTeX Error: Environment tcolorbox undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.186 \begin{tcolorbox} + [breakable, size=fbox, boxrule=1pt, pad at break*... + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.186 \begin{tcolorbox}[ + breakable, size=fbox, boxrule=1pt, pad at break*... + +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no [ 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 e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no z 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 f in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no p 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 p in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no * in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no k 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 e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no f 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 m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no 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 ] in font nullfont! +! Undefined control sequence. +l.187 \prompt + {In}{incolor}{1}{\boxspacing} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no I in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.187 \prompt{In}{incolor}{1}{\boxspacing + } +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 Verbatim undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.188 \begin{Verbatim} + [commandchars=\\\{\}] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +Missing character: There is no [ in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no ] in font nullfont! +! Undefined control sequence. +l.189 \PY + {n}{x} \PY{o}{=} \PY{l+m+mi}{33} \PY{c+c1}{\PYZsh{} Integer} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no x in font nullfont! +! Undefined control sequence. +l.189 \PY{n}{x} \PY + {o}{=} \PY{l+m+mi}{33} \PY{c+c1}{\PYZsh{} Integer} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.189 \PY{n}{x} \PY{o}{=} \PY + {l+m+mi}{33} \PY{c+c1}{\PYZsh{} Integer} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no + 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 3 in font nullfont! +Missing character: There is no 3 in font nullfont! +! Undefined control sequence. +l.189 ...x} \PY{o}{=} \PY{l+m+mi}{33} \PY + {c+c1}{\PYZsh{} Integer} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no c in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.189 ...\PY{l+m+mi}{33} \PY{c+c1}{\PYZsh + {} Integer} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no I in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +! Undefined control sequence. +l.190 \PY + {n}{y} \PY{o}{=} \PY{l+m+mf}{3.14} \PY{c+c1}{\PYZsh{} Float} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no y in font nullfont! +! Undefined control sequence. +l.190 \PY{n}{y} \PY + {o}{=} \PY{l+m+mf}{3.14} \PY{c+c1}{\PYZsh{} Float} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.190 \PY{n}{y} \PY{o}{=} \PY + {l+m+mf}{3.14} \PY{c+c1}{\PYZsh{} Float} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no + 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 3 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no 4 in font nullfont! +! Undefined control sequence. +l.190 ...y} \PY{o}{=} \PY{l+m+mf}{3.14} \PY + {c+c1}{\PYZsh{} Float} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no c in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.190 ...\PY{l+m+mf}{3.14} \PY{c+c1}{\PYZsh + {} Float} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no F in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +! Undefined control sequence. +l.191 \PY + {n}{name} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Joe}\PY{l+s+s2... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n 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 m in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +l.191 \PY{n}{name} \PY + {o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Joe}\PY{l+s+s2... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.191 \PY{n}{name} \PY{o}{=} \PY + {l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Joe}\PY{l+s+s2... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 2 in font nullfont! +! Undefined control sequence. +l.191 \PY{n}{name} \PY{o}{=} \PY{l+s+s2}{\PYZdq + {}}\PY{l+s+s2}{Joe}\PY{l+s+s2... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.191 ...{name} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY + {l+s+s2}{Joe}\PY{l+s+s2}{\... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 2 in font nullfont! +Missing character: There is no J in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +l.191 ... \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Joe}\PY + {l+s+s2}{\PYZdq{}} \PY{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 2 in font nullfont! +! Undefined control sequence. +l.191 ...YZdq{}}\PY{l+s+s2}{Joe}\PY{l+s+s2}{\PYZdq + {}} \PY{c+c1}{\PYZsh{} ... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.191 ...{l+s+s2}{Joe}\PY{l+s+s2}{\PYZdq{}} \PY + {c+c1}{\PYZsh{} String} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no c in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.191 ...\PY{l+s+s2}{\PYZdq{}} \PY{c+c1}{\PYZsh + {} String} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no S in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no g in font nullfont! +! Undefined control sequence. +l.192 \PY + {n}{is\PYZus{}valid} \PY{o}{=} \PY{k+kc}{True} \PY{c+c1}{\PYZsh{} B... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.192 \PY{n}{is\PYZus + {}valid} \PY{o}{=} \PY{k+kc}{True} \PY{c+c1}{\PYZsh{} B... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no d in font nullfont! +! Undefined control sequence. +l.192 \PY{n}{is\PYZus{}valid} \PY + {o}{=} \PY{k+kc}{True} \PY{c+c1}{\PYZsh{} B... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.192 \PY{n}{is\PYZus{}valid} \PY{o}{=} \PY + {k+kc}{True} \PY{c+c1}{\PYZsh{} B... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no k in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no k 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 r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +l.192 ...Zus{}valid} \PY{o}{=} \PY{k+kc}{True} \PY + {c+c1}{\PYZsh{} Boolean} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no c in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.192 ...PY{o}{=} \PY{k+kc}{True} \PY{c+c1}{\PYZsh + {} Boolean} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no B in font nullfont! +Missing character: There is no o 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 e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 186--193 +[] + [] + + +Overfull \hbox (10.00003pt too wide) in paragraph at lines 186--193 +\OMS/cmsy/m/n/10 fg + [] + +! Undefined control sequence. +l.194 \PY + {n+nb}{print}\PY{p}{(}\PY{n}{x}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.194 \PY{n + +nb}{print}\PY{p}{(}\PY{n}{x}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{... + +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no n in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no b 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 n in font nullfont! +Missing character: There is no t in font nullfont! +! Undefined control sequence. +l.194 \PY{n+nb}{print}\PY + {p}{(}\PY{n}{x}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ( in font nullfont! +! Undefined control sequence. +l.194 \PY{n+nb}{print}\PY{p}{(}\PY + {n}{x}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no x in font nullfont! +! Undefined control sequence. +l.194 \PY{n+nb}{print}\PY{p}{(}\PY{n}{x}\PY + {o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no * in font nullfont! +! Undefined control sequence. +l.194 ...+nb}{print}\PY{p}{(}\PY{n}{x}\PY{o}{*}\PY + {o}{*}\PY{l+m+mi}{2}\PY{o}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no * in font nullfont! +! Undefined control sequence. +l.194 ...t}\PY{p}{(}\PY{n}{x}\PY{o}{*}\PY{o}{*}\PY + {l+m+mi}{2}\PY{o}{+}\PY{l+... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no + 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 2 in font nullfont! +! Undefined control sequence. +l.194 ...{n}{x}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY + {o}{+}\PY{l+m+mi}{3}\PY{o}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no + in font nullfont! +! Undefined control sequence. +l.194 ...{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{o}{+}\PY + {l+m+mi}{3}\PY{o}{*}\PY{n}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no + 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 3 in font nullfont! +! Undefined control sequence. +l.194 ...}\PY{l+m+mi}{2}\PY{o}{+}\PY{l+m+mi}{3}\PY + {o}{*}\PY{n}{y}\PY{p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no * in font nullfont! +! Undefined control sequence. +l.194 ...mi}{2}\PY{o}{+}\PY{l+m+mi}{3}\PY{o}{*}\PY + {n}{y}\PY{p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no y in font nullfont! +! Undefined control sequence. +l.194 ...{o}{+}\PY{l+m+mi}{3}\PY{o}{*}\PY{n}{y}\PY + {p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ) in font nullfont! + +! LaTeX Error: \begin{document} ended by \end{Verbatim}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.195 \end{Verbatim} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: \begin{document} ended by \end{tcolorbox}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.196 \end{tcolorbox} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 194--197 +[] + [] + + +! LaTeX Error: Environment Verbatim undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.198 \begin{Verbatim} + [commandchars=\\\{\}] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.198 \begin{Verbatim}[ + commandchars=\\\{\}] +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no [ in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no ] in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no 0 in font nullfont! +Missing character: There is no 9 in font nullfont! +Missing character: There is no 8 in font nullfont! +Missing character: There is no . in font nullfont! +Missing character: There is no 4 in font nullfont! +Missing character: There is no 2 in font nullfont! + +! LaTeX Error: \begin{document} ended by \end{Verbatim}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.200 \end{Verbatim} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 198--201 +[] + [] + + +Overfull \hbox (10.00003pt too wide) in paragraph at lines 198--201 +\OMS/cmsy/m/n/10 fg + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.202 C + hange the x and y values above, re-run the cell to see what happens. + +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no C in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 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 x 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 y in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no 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 c in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no t 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 e in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a 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 a in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 202--203 +[] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.204 Y + ou can assign multiple variables at once: +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no Y 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 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 a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no v 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 i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no : in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 204--205 +[] + [] + + +! LaTeX Error: Environment Shaded undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.206 \begin{Shaded} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Environment Highlighting undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.207 \begin{Highlighting} + [] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.207 \begin{Highlighting}[ + ] +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no [ in font nullfont! +Missing character: There is no ] in font nullfont! +! Undefined control sequence. +l.208 \NormalTok + {a, b, c }\OperatorTok{=} \DecValTok{1}\NormalTok{, }\DecVal... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no a in font nullfont! +Missing character: There is no , 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! +! Undefined control sequence. +l.208 \NormalTok{a, b, c }\OperatorTok + {=} \DecValTok{1}\NormalTok{, }\DecVal... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.208 ...alTok{a, b, c }\OperatorTok{=} \DecValTok + {1}\NormalTok{, }\DecValTo... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.208 ... }\OperatorTok{=} \DecValTok{1}\NormalTok + {, }\DecValTok{2}\NormalTo... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no , in font nullfont! +! Undefined control sequence. +l.208 ...{=} \DecValTok{1}\NormalTok{, }\DecValTok + {2}\NormalTok{, }\DecValTo... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no 2 in font nullfont! +! Undefined control sequence. +l.208 ...k{1}\NormalTok{, }\DecValTok{2}\NormalTok + {, }\DecValTok{3} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no , in font nullfont! +! Undefined control sequence. +l.208 ...{, }\DecValTok{2}\NormalTok{, }\DecValTok + {3} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no 3 in font nullfont! + +! LaTeX Error: \begin{document} ended by \end{Highlighting}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.209 \end{Highlighting} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: \begin{document} ended by \end{Shaded}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.210 \end{Shaded} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 207--211 +[] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.212 S + imilarly we can assign the same value to multiple variables: +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no S in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no w 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 a 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 s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no g 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 h in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no m 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 a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no v 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 i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no : in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 212--213 +[] + [] + + +! LaTeX Error: Environment Shaded undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.214 \begin{Shaded} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Environment Highlighting undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.215 \begin{Highlighting} + [] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.215 \begin{Highlighting}[ + ] +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no [ in font nullfont! +Missing character: There is no ] in font nullfont! +! Undefined control sequence. +l.216 \NormalTok + {x }\OperatorTok{=}\NormalTok{ y }\OperatorTok{=}\NormalTok{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' 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! +! Undefined control sequence. +l.216 \NormalTok{x }\OperatorTok + {=}\NormalTok{ y }\OperatorTok{=}\NormalTok{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.216 \NormalTok{x }\OperatorTok{=}\NormalTok + { y }\OperatorTok{=}\NormalTok{... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no y in font nullfont! +! Undefined control sequence. +l.216 ...OperatorTok{=}\NormalTok{ y }\OperatorTok + {=}\NormalTok{ z }\Operato... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.216 ...}\NormalTok{ y }\OperatorTok{=}\NormalTok + { z }\OperatorTok{=} \DecV... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no z in font nullfont! +! Undefined control sequence. +l.216 ...OperatorTok{=}\NormalTok{ z }\OperatorTok + {=} \DecValTok{100} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.216 ...\NormalTok{ z }\OperatorTok{=} \DecValTok + {100} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no 1 in font nullfont! +Missing character: There is no 0 in font nullfont! +Missing character: There is no 0 in font nullfont! + +! LaTeX Error: \begin{document} ended by \end{Highlighting}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.217 \end{Highlighting} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: \begin{document} ended by \end{Shaded}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.218 \end{Shaded} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 215--219 +[] + [] + +! Undefined control sequence. +l.220 \hypertarget + {rules}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 <return> for immediate help. + ... + +l.220 \hypertarget{r + ules}{% +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.221 \subparagraph + {Rules}\label{rules}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no R in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 220--222 +[][] + [] + + +! LaTeX Error: Missing \begin{document}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.223 \begin{itemize} + +You're in trouble here. Try typing <return> to proceed. +If that doesn't work, type X <return> to quit. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 223--223 +[] + [] + +! Undefined control sequence. +l.224 \tightlist + +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no M in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h 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 t in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! + +Overfull \hbox (3.15pt too wide) in paragraph at lines 226--228 +[] + [] + +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 n in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r 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 i 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 a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no 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 o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no 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 s in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s 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 n in font nullfont! +Missing character: There is no d in font nullfont! + +Overfull \hbox (3.15pt too wide) in paragraph at lines 230--232 +[] + [] + +Missing character: There is no C in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no ( 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 a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no 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 ) in font nullfont! + +Overfull \hbox (20.99982pt too wide) in paragraph at lines 232--233 +\OT1/cmtt/m/n/10 Name + [] + + +Overfull \hbox (20.99982pt too wide) in paragraph at lines 232--233 +\OT1/cmtt/m/n/10 name + [] + +! Undefined control sequence. +l.235 \hypertarget + {updating-variables}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no u 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 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 n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +! Undefined control sequence. +l.236 \paragraph + {Updating Variables}\label{updating-variables}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no U 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 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 n in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no V in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 235--237 +[] + [] + +Missing character: There is no Y 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 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 c in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 a in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no ' in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no e 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 a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 238--239 +[] + [] + + +! LaTeX Error: Environment Shaded undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.240 \begin{Shaded} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Environment Highlighting undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.241 \begin{Highlighting} + [] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +Missing character: There is no [ in font nullfont! +Missing character: There is no ] in font nullfont! +! Undefined control sequence. +l.242 \NormalTok + {x }\OperatorTok{=} \DecValTok{5} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no x in font nullfont! +! Undefined control sequence. +l.242 \NormalTok{x }\OperatorTok + {=} \DecValTok{5} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.242 \NormalTok{x }\OperatorTok{=} \DecValTok + {5} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no 5 in font nullfont! +! Undefined control sequence. +l.243 \NormalTok + {x }\OperatorTok{=}\NormalTok{ x }\OperatorTok{+} \DecValTok... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' 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! +! Undefined control sequence. +l.243 \NormalTok{x }\OperatorTok + {=}\NormalTok{ x }\OperatorTok{+} \DecValTok... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.243 \NormalTok{x }\OperatorTok{=}\NormalTok + { x }\OperatorTok{+} \DecValTok... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' 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! +! Undefined control sequence. +l.243 ...OperatorTok{=}\NormalTok{ x }\OperatorTok + {+} \DecValTok{10} \Comme... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no + in font nullfont! +! Undefined control sequence. +l.243 ...\NormalTok{ x }\OperatorTok{+} \DecValTok + {10} \CommentTok{\# Now 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 1 in font nullfont! +Missing character: There is no 0 in font nullfont! +! Undefined control sequence. +l.243 ...peratorTok{+} \DecValTok{10} \CommentTok + {\# Now x is 15} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no # in font nullfont! +Missing character: There is no N in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no w in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no 5 in font nullfont! + +! LaTeX Error: \begin{document} ended by \end{Highlighting}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.244 \end{Highlighting} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: \begin{document} ended by \end{Shaded}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.245 \end{Shaded} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 241--246 +[] + [] + +Missing character: There is no O in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no h 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 : in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 247--248 +[] + [] + + +! LaTeX Error: Environment Shaded undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.249 \begin{Shaded} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: Environment Highlighting undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.250 \begin{Highlighting} + [] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +Missing character: There is no [ in font nullfont! +Missing character: There is no ] in font nullfont! +! Undefined control sequence. +l.251 \NormalTok + {x }\OperatorTok{+=} \DecValTok{10} \CommentTok{\# Same as ... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' 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! +! Undefined control sequence. +l.251 \NormalTok{x }\OperatorTok + {+=} \DecValTok{10} \CommentTok{\# Same as ... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no + in font nullfont! +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.251 \NormalTok{x }\OperatorTok{+=} \DecValTok + {10} \CommentTok{\# Same as ... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no 1 in font nullfont! +Missing character: There is no 0 in font nullfont! +! Undefined control sequence. +l.251 ...eratorTok{+=} \DecValTok{10} \CommentTok + {\# Same as x = x + 10} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no # in font nullfont! +Missing character: There is no S in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no x 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 1 in font nullfont! +Missing character: There is no 0 in font nullfont! + +! LaTeX Error: \begin{document} ended by \end{Highlighting}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.252 \end{Highlighting} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: \begin{document} ended by \end{Shaded}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.253 \end{Shaded} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 250--254 +[] + [] + +! Undefined control sequence. +l.255 \hypertarget + {variable-types-type-checking}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no v 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 i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no - in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no - 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 e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no 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.256 \paragraph + {Variable Types \& Type +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no V 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 i in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no & in font nullfont! +Missing character: There is no T in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no C in font nullfont! +Missing character: There is no h 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 k 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! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 255--258 +[] + [] + +Missing character: There is no U in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no o 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 e in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no v in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no ' 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 y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no . in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 259--260 +[] + [] + + +Overfull \hbox (31.49973pt too wide) in paragraph at lines 259--260 +\OT1/cmtt/m/n/10 type() + [] + + +! LaTeX Error: Environment tcolorbox undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.261 \begin{tcolorbox} + [breakable, size=fbox, boxrule=1pt, pad at break*... + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +Missing character: There is no [ 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 e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no z 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 f in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no p 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 p in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no * in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no k 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 e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no f 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 m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no 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 ] in font nullfont! +! Undefined control sequence. +l.262 \prompt + {In}{incolor}{2}{\boxspacing} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no I in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no 2 in font nullfont! +! Undefined control sequence. +l.262 \prompt{In}{incolor}{2}{\boxspacing + } +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 Verbatim undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.263 \begin{Verbatim} + [commandchars=\\\{\}] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +Missing character: There is no [ in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no ] in font nullfont! +! Undefined control sequence. +l.264 \PY + {n}{x} \PY{o}{=} \PY{l+m+mi}{10} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no x in font nullfont! +! Undefined control sequence. +l.264 \PY{n}{x} \PY + {o}{=} \PY{l+m+mi}{10} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.264 \PY{n}{x} \PY{o}{=} \PY + {l+m+mi}{10} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no + 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 1 in font nullfont! +Missing character: There is no 0 in font nullfont! +! Undefined control sequence. +l.265 \PY + {n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no b 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 n in font nullfont! +Missing character: There is no t in font nullfont! +! Undefined control sequence. +l.265 \PY{n+nb}{print}\PY + {p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ( in font nullfont! +! Undefined control sequence. +l.265 \PY{n+nb}{print}\PY{p}{(}\PY + {l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no f in font nullfont! +! Undefined control sequence. +l.265 \PY{n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY + {l+s+s1}{\PYZsq{}}\PY{l+s+s1... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.265 ...\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq + {}}\PY{l+s+s1}{ Variable 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.265 ...{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY + {l+s+s1}{ Variable x is ty... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no V in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no x 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 y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no : in font nullfont! +! Undefined control sequence. +l.265 ...q{}}\PY{l+s+s1}{ Variable x is type: }\PY + {l+s+si}{\PYZob{}}\PY{n+nb... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +! Undefined control sequence. +l.265 ...{ Variable x is type: }\PY{l+s+si}{\PYZob + {}}\PY{n+nb}{type}\PY{p}{(... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.265 ...able x is type: }\PY{l+s+si}{\PYZob{}}\PY + {n+nb}{type}\PY{p}{(}\PY{n... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +l.265 ... }\PY{l+s+si}{\PYZob{}}\PY{n+nb}{type}\PY + {p}{(}\PY{n}{x}\PY{p}{)}\P... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ( in font nullfont! +! Undefined control sequence. +l.265 ...+si}{\PYZob{}}\PY{n+nb}{type}\PY{p}{(}\PY + {n}{x}\PY{p}{)}\PY{l+s+si}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no x in font nullfont! +! Undefined control sequence. +l.265 ...ob{}}\PY{n+nb}{type}\PY{p}{(}\PY{n}{x}\PY + {p}{)}\PY{l+s+si}{\PYZcb{}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ) in font nullfont! +! Undefined control sequence. +l.265 ...n+nb}{type}\PY{p}{(}\PY{n}{x}\PY{p}{)}\PY + {l+s+si}{\PYZcb{}}\PY{l+s+... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +! Undefined control sequence. +l.265 ...p}{(}\PY{n}{x}\PY{p}{)}\PY{l+s+si}{\PYZcb + {}}\PY{l+s+s1}{\PYZsq{}}\P... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.265 ...PY{n}{x}\PY{p}{)}\PY{l+s+si}{\PYZcb{}}\PY + {l+s+s1}{\PYZsq{}}\PY{p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.265 ...)}\PY{l+s+si}{\PYZcb{}}\PY{l+s+s1}{\PYZsq + {}}\PY{p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.265 ...l+s+si}{\PYZcb{}}\PY{l+s+s1}{\PYZsq{}}\PY + {p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ) in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 261--266 +[] + [] + + +Overfull \hbox (10.00003pt too wide) in paragraph at lines 261--266 +\OMS/cmsy/m/n/10 fg + [] + +! Undefined control sequence. +l.267 \PY + {n}{y} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Hello}\PY{l+s+s2}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no y in font nullfont! +! Undefined control sequence. +l.267 \PY{n}{y} \PY + {o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Hello}\PY{l+s+s2}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no o in font nullfont! +Missing character: There is no = in font nullfont! +! Undefined control sequence. +l.267 \PY{n}{y} \PY{o}{=} \PY + {l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Hello}\PY{l+s+s2}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 2 in font nullfont! +! Undefined control sequence. +l.267 \PY{n}{y} \PY{o}{=} \PY{l+s+s2}{\PYZdq + {}}\PY{l+s+s2}{Hello}\PY{l+s+s2}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.267 \PY{n}{y} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY + {l+s+s2}{Hello}\PY{l+s+s2}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 2 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 l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +! Undefined control sequence. +l.267 ...PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Hello}\PY + {l+s+s2}{\PYZdq{}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 2 in font nullfont! +! Undefined control sequence. +l.267 ...dq{}}\PY{l+s+s2}{Hello}\PY{l+s+s2}{\PYZdq + {}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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.268 \PY + {n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no b 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 n in font nullfont! +Missing character: There is no t in font nullfont! +! Undefined control sequence. +l.268 \PY{n+nb}{print}\PY + {p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ( in font nullfont! +! Undefined control sequence. +l.268 \PY{n+nb}{print}\PY{p}{(}\PY + {l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no f in font nullfont! +! Undefined control sequence. +l.268 \PY{n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY + {l+s+s1}{\PYZsq{}}\PY{l+s+s1... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.268 ...\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq + {}}\PY{l+s+s1}{ Variable y... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.268 ...{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY + {l+s+s1}{ Variable y is ty... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no V in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no y 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 y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no : in font nullfont! +! Undefined control sequence. +l.268 ...q{}}\PY{l+s+s1}{ Variable y is type: }\PY + {l+s+si}{\PYZob{}}\PY{n+nb... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +! Undefined control sequence. +l.268 ...{ Variable y is type: }\PY{l+s+si}{\PYZob + {}}\PY{n+nb}{type}\PY{p}{(... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.268 ...able y is type: }\PY{l+s+si}{\PYZob{}}\PY + {n+nb}{type}\PY{p}{(}\PY{n... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +l.268 ... }\PY{l+s+si}{\PYZob{}}\PY{n+nb}{type}\PY + {p}{(}\PY{n}{y}\PY{p}{)}\P... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ( in font nullfont! +! Undefined control sequence. +l.268 ...+si}{\PYZob{}}\PY{n+nb}{type}\PY{p}{(}\PY + {n}{y}\PY{p}{)}\PY{l+s+si}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no n in font nullfont! +Missing character: There is no y in font nullfont! +! Undefined control sequence. +l.268 ...ob{}}\PY{n+nb}{type}\PY{p}{(}\PY{n}{y}\PY + {p}{)}\PY{l+s+si}{\PYZcb{}... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ) in font nullfont! +! Undefined control sequence. +l.268 ...n+nb}{type}\PY{p}{(}\PY{n}{y}\PY{p}{)}\PY + {l+s+si}{\PYZcb{}}\PY{l+s+... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +! Undefined control sequence. +l.268 ...p}{(}\PY{n}{y}\PY{p}{)}\PY{l+s+si}{\PYZcb + {}}\PY{l+s+s1}{\PYZsq{}}\P... +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.268 ...PY{n}{y}\PY{p}{)}\PY{l+s+si}{\PYZcb{}}\PY + {l+s+s1}{\PYZsq{}}\PY{p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no l in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no + in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no 1 in font nullfont! +! Undefined control sequence. +l.268 ...)}\PY{l+s+si}{\PYZcb{}}\PY{l+s+s1}{\PYZsq + {}}\PY{p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +! Undefined control sequence. +l.268 ...l+s+si}{\PYZcb{}}\PY{l+s+s1}{\PYZsq{}}\PY + {p}{)} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no p in font nullfont! +Missing character: There is no ) in font nullfont! + +! LaTeX Error: \begin{document} ended by \end{Verbatim}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.269 \end{Verbatim} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: \begin{document} ended by \end{tcolorbox}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.270 \end{tcolorbox} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 267--271 +[] + [] + + +! LaTeX Error: Environment Verbatim undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.272 \begin{Verbatim} + [commandchars=\\\{\}] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +Missing character: There is no [ in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no ] in font nullfont! +Missing character: There is no V in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no x 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 y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no : 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 l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no ' in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no ' in font nullfont! +Missing character: There is no > in font nullfont! +Missing character: There is no V in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no 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 b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no y 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 y in font nullfont! +Missing character: There is no p in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no : 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 l in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no ' in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no r 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{Verbatim}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.275 \end{Verbatim} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +Overfull \hbox (20.0pt too wide) in paragraph at lines 272--276 +[] + [] + + +Overfull \hbox (10.00003pt too wide) in paragraph at lines 272--276 +\OMS/cmsy/m/n/10 fg + [] + +! Undefined control sequence. +l.277 \hypertarget + {exercise}{% +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no e in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! +! Undefined control sequence. +l.278 \section + {Exercise}\label{exercise}} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no E in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no e in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 277--279 +[][] + [] + + +! LaTeX Error: Environment tcolorbox undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.280 \begin{tcolorbox} + [breakable, size=fbox, boxrule=1pt, pad at break*... + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +Missing character: There is no [ 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 e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no z 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 f in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no x in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no p 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 p in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no t in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no * in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no 1 in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no k 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 e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no k in font nullfont! +Missing character: There is no g in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no u in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no , in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no f 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 m in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no e in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no b in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no 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 ] in font nullfont! +! Undefined control sequence. +l.281 \prompt + {In}{incolor}{ }{\boxspacing} +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (e.g., `\hobx'), type `I' and the correct +spelling (e.g., `I\hbox'). Otherwise just continue, +and I'll forget about whatever was undefined. + +Missing character: There is no I in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no i in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no l in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no r in font nullfont! +! Undefined control sequence. +l.281 \prompt{In}{incolor}{ }{\boxspacing + } +The control sequence at the end of the top line +of your error message was never \def'ed. If you have +misspelled it (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 Verbatim undefined. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.282 \begin{Verbatim} + [commandchars=\\\{\}] +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +Missing character: There is no [ in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no o in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no m in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no n in font nullfont! +Missing character: There is no d in font nullfont! +Missing character: There is no c in font nullfont! +Missing character: There is no h in font nullfont! +Missing character: There is no a in font nullfont! +Missing character: There is no r in font nullfont! +Missing character: There is no s in font nullfont! +Missing character: There is no = in font nullfont! +Missing character: There is no ] in font nullfont! + +Overfull \hbox (20.0pt too wide) in paragraph at lines 280--283 +[] + [] + + +Overfull \hbox (10.00003pt too wide) in paragraph at lines 280--283 +\OMS/cmsy/m/n/10 fg + [] + + +! LaTeX Error: \begin{document} ended by \end{Verbatim}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.284 \end{Verbatim} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + + +! LaTeX Error: \begin{document} ended by \end{tcolorbox}. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H <return> for immediate help. + ... + +l.285 \end{tcolorbox} + +Your command was ignored. +Type I <command> <return> to replace it with another command, +or <return> to continue without it. + +) +! 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This becomes important when we start working +with function and loops. We will talk more about this in the controls +structures tutorial. + +\hypertarget{comments}{% +\subsubsection{Comments}\label{comments}} + +Comments can be added to your code using the hash operator (\#). Any +text behind the comment operator till the end of the line will be +rendered as a comment. If you have an entire block of text or code that +needs to be commented out, the triple quotation marks (""") can be used. +Once used all the code after it will be considered a comment until the +comment is ended with the triple quotation marks. + + \hypertarget{operators}{% +\subsection{Operators}\label{operators}} + +In python, operators are special symbols or keywords that perform +operations on values or variables. This section covers some of the most +common operator that you will see in this course. + +\hypertarget{arithmetic-operators}{% +\subsubsection{Arithmetic operators}\label{arithmetic-operators}} + +\begin{longtable}[]{@{}ll@{}} +\toprule +Operator & Name \\ +\midrule +\endhead ++ & Addition \\ +- & Subtraction \\ +* & Multiplication \\ +/ & Division \\ +\% & Modulus \\ +** & Exponentiation \\ +// & Floor division \\ +\bottomrule +\end{longtable} + +\hypertarget{comparison-operators}{% +\subsubsection{Comparison operators}\label{comparison-operators}} + +Used in conditional statements such as \texttt{if} statements or +\texttt{while} loops. Note that in the computer world a double equal +sign (\texttt{==}) means \emph{is equal to}, where as the single equal +sign assigns the variable or defines the variable to be something. + +\begin{longtable}[]{@{}ll@{}} +\toprule +Operator & Name \\ +\midrule +\endhead +== & Equal \\ +!= & Not equal \\ +\textgreater{} & Greater than \\ +\textless{} & Less than \\ +\textgreater= & Greater than or equal to \\ +\textless= & Less than or equal to \\ +\bottomrule +\end{longtable} + +\hypertarget{logical-operators}{% +\subsubsection{Logical operators}\label{logical-operators}} + +\begin{longtable}[]{@{}ll@{}} +\toprule +Operator & Descrription \\ +\midrule +\endhead +\texttt{and} & Returns True if both statemetns are true \\ +\texttt{or} & Returns True if one of the statements is true \\ +\texttt{not} & Reerse the result, returns False if the result is true \\ +\bottomrule +\end{longtable} + +\hypertarget{identity-operators}{% +\subsubsection{Identity operators}\label{identity-operators}} + +\begin{longtable}[]{@{}ll@{}} +\toprule +Operator & Description \\ +\midrule +\endhead +is & Returns True if both variables are the same object \\ +is not & Returns True if both variables are not the same object \\ +\bottomrule +\end{longtable} + + \hypertarget{order-of-operation}{% +\subsection{Order of Operation}\label{order-of-operation}} + +Similarly to the order or precedence in mathematics, different computer +languages have their own set of rules. Here is a comprehensive table of +the order of operation that python follows. + +\begin{longtable}[]{@{} + >{\raggedright\arraybackslash}p{(\columnwidth - 2\tabcolsep) * \real{0.51}} + >{\raggedright\arraybackslash}p{(\columnwidth - 2\tabcolsep) * \real{0.49}}@{}} +\toprule +Operator & Description \\ +\midrule +\endhead +\texttt{()} & Parentheses \\ +\texttt{**} & Exponentiation \\ +\texttt{+x} \texttt{-x} \texttt{\textasciitilde{}x} & Unary plus, unary +minus, and bitwise NOT \\ +\texttt{*} \texttt{/} \texttt{//} \texttt{\%} & Multiplication, +Division, floor division, and modulus \\ +\texttt{+} \texttt{-} & Addition and subtraction \\ +\texttt{\textless{}\textless{}} \texttt{\textgreater{}\textgreater{}} & +Bitwise left and right shifts \\ +\& & Bitwise AND \\ +\^{} & Bitwise XOR \\ +\textbar{} & Bitwise OR \\ +\texttt{==} \texttt{!=} \texttt{\textgreater{}} \texttt{\textgreater{}=} +\texttt{\textless{}} \texttt{\textless{}=} \texttt{is} \texttt{is\ not} +\texttt{in} \texttt{not\ in} & Comparision, identity and membership +operators \\ +\texttt{not} & logical NOT \\ +\texttt{and} & AND \\ +\texttt{or} & OR \\ +\bottomrule +\end{longtable} + + \hypertarget{data-types}{% +\subsection{Data types}\label{data-types}} + +Data types are different ways a computer stores data. Other data types +use fewer bits than others allowing you to better utilize your computer +memory. This is important for engineers because The most common data +types that an engineer encounters in python are numeric types. - +\texttt{int} - integer - \texttt{float} - a decimal number - +\texttt{complex} - imaginary number + +The comprehensive table below show all built-in data types available in +python. + +\begin{longtable}[]{@{}ll@{}} +\toprule +Category & Data Type \\ +\midrule +\endhead +Text & int, float, complex \\ +Sequance & list, tuple, range \\ +Mapping & dict \\ +Set & set, frozenset \\ +Boolean & bytes, bytearray, memoryview \\ +Binary & bytes, bytearray, memoryview \\ +None & NoneType \\ +\bottomrule +\end{longtable} + + \hypertarget{variables}{% +\subsection{Variables}\label{variables}} + +A \textbf{variable} in Python is a name that stores a value, allowing +you to use and manipulate data efficiently. + +\hypertarget{declaring-and-assigning-variables}{% +\paragraph{Declaring and Assigning +Variables}\label{declaring-and-assigning-variables}} + +It is common in low-level computer languages to declare the datatype if +the variable. In python, the datatype is set whilst you assign it. We +assign values to variables using a single \texttt{=}. + +```python + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{1}{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] +\PY{n}{x} \PY{o}{=} \PY{l+m+mi}{33} \PY{c+c1}{\PYZsh{} Integer} +\PY{n}{y} \PY{o}{=} \PY{l+m+mf}{3.14} \PY{c+c1}{\PYZsh{} Float} +\PY{n}{name} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Joe}\PY{l+s+s2}{\PYZdq{}} \PY{c+c1}{\PYZsh{} String} +\PY{n}{is\PYZus{}valid} \PY{o}{=} \PY{k+kc}{True} \PY{c+c1}{\PYZsh{} Boolean} + +\PY{n+nb}{print}\PY{p}{(}\PY{n}{x}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{o}{+}\PY{l+m+mi}{3}\PY{o}{*}\PY{n}{y}\PY{p}{)} +\end{Verbatim} +\end{tcolorbox} + + \begin{Verbatim}[commandchars=\\\{\}] +1098.42 + \end{Verbatim} + + Change the x and y values above, re-run the cell to see what happens. + +You can assign multiple variables at once: + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{a, b, c }\OperatorTok{=} \DecValTok{1}\NormalTok{, }\DecValTok{2}\NormalTok{, }\DecValTok{3} +\end{Highlighting} +\end{Shaded} + +Similarly we can assign the same value to multiple variables: + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{x }\OperatorTok{=}\NormalTok{ y }\OperatorTok{=}\NormalTok{ z }\OperatorTok{=} \DecValTok{100} +\end{Highlighting} +\end{Shaded} + + \hypertarget{rules}{% +\subparagraph{Rules}\label{rules}} + +\begin{itemize} +\tightlist +\item + Must start with a letter or \texttt{\_} +\item + Cannot start with a number +\item + Can only contain letters, numbers, and \texttt{\_} +\item + Case-sensitive (\texttt{Name} and \texttt{name} are different) +\end{itemize} + +\hypertarget{updating-variables}{% +\paragraph{Updating Variables}\label{updating-variables}} + +You can change a variable's value at any time. + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{x }\OperatorTok{=} \DecValTok{5} +\NormalTok{x }\OperatorTok{=}\NormalTok{ x }\OperatorTok{+} \DecValTok{10} \CommentTok{\# Now x is 15} +\end{Highlighting} +\end{Shaded} + +Or shorthand: + +\begin{Shaded} +\begin{Highlighting}[] +\NormalTok{x }\OperatorTok{+=} \DecValTok{10} \CommentTok{\# Same as x = x + 10} +\end{Highlighting} +\end{Shaded} + +\hypertarget{variable-types-type-checking}{% +\paragraph{Variable Types \& Type +Checking}\label{variable-types-type-checking}} + +Use \texttt{type()} to check a variable's type. + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{2}{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] +\PY{n}{x} \PY{o}{=} \PY{l+m+mi}{10} +\PY{n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{ Variable x is type: }\PY{l+s+si}{\PYZob{}}\PY{n+nb}{type}\PY{p}{(}\PY{n}{x}\PY{p}{)}\PY{l+s+si}{\PYZcb{}}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + +\PY{n}{y} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Hello}\PY{l+s+s2}{\PYZdq{}} +\PY{n+nb}{print}\PY{p}{(}\PY{l+s+sa}{f}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{ Variable y is type: }\PY{l+s+si}{\PYZob{}}\PY{n+nb}{type}\PY{p}{(}\PY{n}{y}\PY{p}{)}\PY{l+s+si}{\PYZcb{}}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} +\end{Verbatim} +\end{tcolorbox} + + \begin{Verbatim}[commandchars=\\\{\}] + Variable x is type: <class 'int'> + Variable y is type: <class 'str'> + \end{Verbatim} + + \hypertarget{exercise}{% +\section{Exercise}\label{exercise}} + + \begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder] +\prompt{In}{incolor}{ }{\boxspacing} +\begin{Verbatim}[commandchars=\\\{\}] + +\end{Verbatim} +\end{tcolorbox} diff --git a/tutorials/module_1/latex/conc.aux b/tutorials/module_1/latex/conc.aux new file mode 100644 index 0000000..1db34f9 --- /dev/null +++ b/tutorials/module_1/latex/conc.aux @@ -0,0 +1,35 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\@setckpt{conc}{ +\setcounter{page}{5} +\setcounter{equation}{0} 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Rerun to get cross-references right. + + +Package rerunfilecheck Warning: File `module1.out' has changed. +(rerunfilecheck) Rerun to get outlines right +(rerunfilecheck) or use package `bookmark'. + +Package rerunfilecheck Info: Checksums for `module1.out': +(rerunfilecheck) Before: FE58D502EA60E4B5B64E35505B7C1BD5;1455 +(rerunfilecheck) After: D41D8CD98F00B204E9800998ECF8427E;0. + ) +Here is how much of TeX's memory you used: + 31499 strings out of 475171 + 609715 string characters out of 5767096 + 1135282 words of memory out of 5000000 + 53873 multiletter control sequences out of 15000+600000 + 576003 words of font info for 80 fonts, out of 8000000 for 9000 + 14 hyphenation exceptions out of 8191 + 124i,8n,121p,10925b,662s stack positions out of 10000i,1000n,20000p,200000b,200000s + +pdfTeX warning (dest): name{section.0.6} has been referenced but does not exist +, replaced by a fixed one + + +pdfTeX warning (dest): name{subsection.0.5.3} has been referenced but does not +exist, replaced by a fixed one + + +pdfTeX warning (dest): name{subsection.0.5.2} has been referenced but does not +exist, replaced by a fixed one + + +pdfTeX warning (dest): name{subsection.0.5.1} has been referenced but does not +exist, replaced by a fixed one + + +pdfTeX warning (dest): name{section.0.5} has been referenced but does not exist +, replaced by a fixed one + + +pdfTeX warning (dest): name{section.0.4} has been referenced but does not exist +, replaced by a fixed one + + +pdfTeX warning (dest): name{section.0.3} has been referenced but does not exist +, replaced by a fixed one + + +pdfTeX warning (dest): name{subsection.0.2.1} has been referenced but does not +exist, replaced by a fixed one + + +pdfTeX warning (dest): name{section.0.2} has been referenced but does not exist +, replaced by a fixed one + + +pdfTeX warning (dest): name{section.0.1} has been referenced but does not exist +, replaced by a fixed one + +</usr/share/texmf-dist/fonts/type1/public/cm-super/sfbx1095.pfb></usr/share/tex +mf-dist/fonts/type1/public/cm-super/sfit1095.pfb></usr/share/texmf-dist/fonts/t +ype1/public/cm-super/sfrm1095.pfb></usr/share/texmf-dist/fonts/type1/public/cm- +super/sfrm1200.pfb></usr/share/texmf-dist/fonts/type1/public/cm-super/sfrm1728. +pfb></usr/share/texmf-dist/fonts/type1/public/cm-super/sfsl1095.pfb></usr/share +/texmf-dist/fonts/type1/public/cm-super/sfsx1095.pfb></usr/share/texmf-dist/fon +ts/type1/public/cm-super/sfsx1200.pfb></usr/share/texmf-dist/fonts/type1/public +/cm-super/sfsx1440.pfb></usr/share/texmf-dist/fonts/type1/public/cm-super/sfsx2 +074.pfb></usr/share/texmf-dist/fonts/type1/public/cm-super/sfti1095.pfb></usr/s +hare/texmf-dist/fonts/type1/public/cm-super/sftt1095.pfb> +Output written on module1.pdf (10 pages, 249430 bytes). +PDF statistics: + 266 PDF objects out of 1000 (max. 8388607) + 225 compressed objects within 3 object streams + 76 named destinations out of 1000 (max. 500000) + 173 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/tutorials/module_1/latex/module1.lot b/tutorials/module_1/latex/module1.lot new file mode 100644 index 0000000..4078ef2 --- /dev/null +++ b/tutorials/module_1/latex/module1.lot @@ -0,0 +1,4 @@ +\addvspace {10\p@ } +\addvspace {10\p@ } +\addvspace {10\p@ } +\providecommand \tocbasic@end@toc@file {}\tocbasic@end@toc@file diff --git a/tutorials/module_1/latex/module1.out b/tutorials/module_1/latex/module1.out new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/tutorials/module_1/latex/module1.out diff --git a/tutorials/module_1/latex/module1.pdf b/tutorials/module_1/latex/module1.pdf Binary files differnew file mode 100644 index 0000000..a0eda82 --- /dev/null +++ b/tutorials/module_1/latex/module1.pdf diff --git a/tutorials/module_1/latex/module1.synctex.gz b/tutorials/module_1/latex/module1.synctex.gz Binary files differnew file mode 100644 index 0000000..1bfdfab --- /dev/null +++ b/tutorials/module_1/latex/module1.synctex.gz diff --git a/tutorials/module_1/latex/module1.tex b/tutorials/module_1/latex/module1.tex new file mode 100644 index 0000000..3edc527 --- /dev/null +++ b/tutorials/module_1/latex/module1.tex @@ -0,0 +1,433 @@ +\documentclass[oneside]{scrbook} +\title{A Sample Module} +\author{A.N. Other} +\date{July 2013} +\titlehead{A Thesis submitted for the degree of Doctor of Philosophy} +\publishers{School of Something\\University of Somewhere} + + +\usepackage[breakable]{tcolorbox} + \usepackage{parskip} % Stop auto-indenting (to mimic markdown behaviour) + \author{Christian Kolset} + + % Basic figure setup, for now with no caption control since it's done + % automatically by Pandoc (which extracts  syntax from Markdown). + \usepackage{graphicx} + % Keep aspect ratio if custom image width or height is specified + \setkeys{Gin}{keepaspectratio} + % Maintain compatibility with old templates. Remove in nbconvert 6.0 + \let\Oldincludegraphics\includegraphics + % Ensure that by default, figures have no caption (until we provide a + % proper Figure object with a Caption API and a way to capture that + % in the conversion process - todo). + \usepackage{caption} + \DeclareCaptionFormat{nocaption}{} + \captionsetup{format=nocaption,aboveskip=0pt,belowskip=0pt} + + \usepackage{float} + \floatplacement{figure}{H} % forces figures to be placed at the correct location + \usepackage{xcolor} % Allow colors to be defined + \usepackage{enumerate} % Needed for markdown enumerations to work + \usepackage{geometry} % Used to adjust the document margins + \usepackage{amsmath} % Equations + \usepackage{amssymb} % Equations + \usepackage{textcomp} % defines textquotesingle + + % Hack from http://tex.stackexchange.com/a/47451/13684: + \AtBeginDocument{% + \def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code + } + \usepackage{upquote} % Upright quotes for verbatim code + \usepackage{eurosym} % defines \euro + + \usepackage{iftex} + \ifPDFTeX + \usepackage[T1]{fontenc} + \IfFileExists{alphabeta.sty}{ + \usepackage{alphabeta} + }{ + \usepackage[mathletters]{ucs} + \usepackage[utf8]{inputenc} + } + \else + \usepackage{fontspec} + \usepackage{unicode-math} + \fi + + \usepackage{fancyvrb} % verbatim replacement that allows latex + \usepackage{grffile} % extends the file name processing of package graphics + % to support a larger range + \makeatletter % fix for old versions of grffile with XeLaTeX + \@ifpackagelater{grffile}{2019/11/01} + { + % Do nothing on new versions + } + { + \def\Gread@@xetex#1{% + \IfFileExists{"\Gin@base".bb}% + {\Gread@eps{\Gin@base.bb}}% + {\Gread@@xetex@aux#1}% + } + } + \makeatother + \usepackage[Export]{adjustbox} % Used to constrain images to a maximum size + \adjustboxset{max size={0.9\linewidth}{0.9\paperheight}} + + % The hyperref package gives us a pdf with properly built + % internal navigation ('pdf bookmarks' for the table of contents, + % internal cross-reference links, web links for URLs, etc.) + \usepackage{hyperref} + % The default LaTeX title has an obnoxious amount of whitespace. By default, + % titling removes some of it. It also provides customization options. + \usepackage{titling} + \usepackage{longtable} % longtable support required by pandoc >1.10 + \usepackage{booktabs} % table support for pandoc > 1.12.2 + \usepackage{array} % table support for pandoc >= 2.11.3 + \usepackage{calc} % table minipage width calculation for pandoc >= 2.11.1 + \usepackage[inline]{enumitem} % IRkernel/repr support (it uses the enumerate* environment) + \usepackage[normalem]{ulem} % ulem is needed to support strikethroughs (\sout) + % normalem makes italics be italics, not underlines + \usepackage{soul} % strikethrough (\st) support for pandoc >= 3.0.0 + \usepackage{mathrsfs} + + + + % Colors for the hyperref package + \definecolor{urlcolor}{rgb}{0,.145,.698} + \definecolor{linkcolor}{rgb}{.71,0.21,0.01} + \definecolor{citecolor}{rgb}{.12,.54,.11} + + % ANSI colors + \definecolor{ansi-black}{HTML}{3E424D} + \definecolor{ansi-black-intense}{HTML}{282C36} + \definecolor{ansi-red}{HTML}{E75C58} + \definecolor{ansi-red-intense}{HTML}{B22B31} + \definecolor{ansi-green}{HTML}{00A250} + \definecolor{ansi-green-intense}{HTML}{007427} + \definecolor{ansi-yellow}{HTML}{DDB62B} + \definecolor{ansi-yellow-intense}{HTML}{B27D12} + \definecolor{ansi-blue}{HTML}{208FFB} + \definecolor{ansi-blue-intense}{HTML}{0065CA} + \definecolor{ansi-magenta}{HTML}{D160C4} + \definecolor{ansi-magenta-intense}{HTML}{A03196} + \definecolor{ansi-cyan}{HTML}{60C6C8} + \definecolor{ansi-cyan-intense}{HTML}{258F8F} + \definecolor{ansi-white}{HTML}{C5C1B4} + \definecolor{ansi-white-intense}{HTML}{A1A6B2} + \definecolor{ansi-default-inverse-fg}{HTML}{FFFFFF} + \definecolor{ansi-default-inverse-bg}{HTML}{000000} + + % common color for the border for error outputs. + \definecolor{outerrorbackground}{HTML}{FFDFDF} + + % commands and environments needed by pandoc snippets + % extracted from the output of `pandoc -s` + \providecommand{\tightlist}{% + \setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}} + \DefineVerbatimEnvironment{Highlighting}{Verbatim}{commandchars=\\\{\}} + % Add ',fontsize=\small' for more characters per line + \newenvironment{Shaded}{}{} + \newcommand{\KeywordTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\DataTypeTok}[1]{\textcolor[rgb]{0.56,0.13,0.00}{{#1}}} + \newcommand{\DecValTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\BaseNTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\FloatTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\CharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\StringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\CommentTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textit{{#1}}}} + \newcommand{\OtherTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{{#1}}} + \newcommand{\AlertTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\FunctionTok}[1]{\textcolor[rgb]{0.02,0.16,0.49}{{#1}}} + \newcommand{\RegionMarkerTok}[1]{{#1}} + \newcommand{\ErrorTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\NormalTok}[1]{{#1}} + + % Additional commands for more recent versions of Pandoc + \newcommand{\ConstantTok}[1]{\textcolor[rgb]{0.53,0.00,0.00}{{#1}}} + \newcommand{\SpecialCharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\VerbatimStringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\SpecialStringTok}[1]{\textcolor[rgb]{0.73,0.40,0.53}{{#1}}} + \newcommand{\ImportTok}[1]{{#1}} + \newcommand{\DocumentationTok}[1]{\textcolor[rgb]{0.73,0.13,0.13}{\textit{{#1}}}} + \newcommand{\AnnotationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\CommentVarTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\VariableTok}[1]{\textcolor[rgb]{0.10,0.09,0.49}{{#1}}} + \newcommand{\ControlFlowTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\OperatorTok}[1]{\textcolor[rgb]{0.40,0.40,0.40}{{#1}}} + \newcommand{\BuiltInTok}[1]{{#1}} + \newcommand{\ExtensionTok}[1]{{#1}} + \newcommand{\PreprocessorTok}[1]{\textcolor[rgb]{0.74,0.48,0.00}{{#1}}} + \newcommand{\AttributeTok}[1]{\textcolor[rgb]{0.49,0.56,0.16}{{#1}}} + \newcommand{\InformationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\WarningTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \makeatletter + \newsavebox\pandoc@box + \newcommand*\pandocbounded[1]{% + \sbox\pandoc@box{#1}% + % scaling factors for width and height + \Gscale@div\@tempa\textheight{\dimexpr\ht\pandoc@box+\dp\pandoc@box\relax}% + \Gscale@div\@tempb\linewidth{\wd\pandoc@box}% + % select the smaller of both + \ifdim\@tempb\p@<\@tempa\p@ + \let\@tempa\@tempb + \fi + % scaling accordingly (\@tempa < 1) + \ifdim\@tempa\p@<\p@ + \scalebox{\@tempa}{\usebox\pandoc@box}% + % scaling not needed, use as it is + \else + \usebox{\pandoc@box}% + \fi + } + \makeatother + + % Define a nice break command that doesn't care if a line doesn't already + % exist. + \def\br{\hspace*{\fill} \\* } + % Math Jax compatibility definitions + \def\gt{>} + \def\lt{<} + \let\Oldtex\TeX + \let\Oldlatex\LaTeX + \renewcommand{\TeX}{\textrm{\Oldtex}} + \renewcommand{\LaTeX}{\textrm{\Oldlatex}} + % Document parameters + % Document title + \title{basics\_of\_python} + + + + + + + +% Pygments definitions +\makeatletter +\def\PY@reset{\let\PY@it=\relax \let\PY@bf=\relax% + \let\PY@ul=\relax \let\PY@tc=\relax% + \let\PY@bc=\relax \let\PY@ff=\relax} +\def\PY@tok#1{\csname PY@tok@#1\endcsname} +\def\PY@toks#1+{\ifx\relax#1\empty\else% + \PY@tok{#1}\expandafter\PY@toks\fi} +\def\PY@do#1{\PY@bc{\PY@tc{\PY@ul{% + \PY@it{\PY@bf{\PY@ff{#1}}}}}}} +\def\PY#1#2{\PY@reset\PY@toks#1+\relax+\PY@do{#2}} + +\@namedef{PY@tok@w}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}} +\@namedef{PY@tok@c}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cp}{\def\PY@tc##1{\textcolor[rgb]{0.61,0.40,0.00}{##1}}} +\@namedef{PY@tok@k}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kp}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kt}{\def\PY@tc##1{\textcolor[rgb]{0.69,0.00,0.25}{##1}}} +\@namedef{PY@tok@o}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@ow}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}} +\@namedef{PY@tok@nb}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@nf}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\@namedef{PY@tok@nc}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\@namedef{PY@tok@nn}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\@namedef{PY@tok@ne}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.80,0.25,0.22}{##1}}} +\@namedef{PY@tok@nv}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@no}{\def\PY@tc##1{\textcolor[rgb]{0.53,0.00,0.00}{##1}}} +\@namedef{PY@tok@nl}{\def\PY@tc##1{\textcolor[rgb]{0.46,0.46,0.00}{##1}}} +\@namedef{PY@tok@ni}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.44,0.44,0.44}{##1}}} +\@namedef{PY@tok@na}{\def\PY@tc##1{\textcolor[rgb]{0.41,0.47,0.13}{##1}}} +\@namedef{PY@tok@nt}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@nd}{\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}} +\@namedef{PY@tok@s}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@sd}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@si}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.64,0.35,0.47}{##1}}} +\@namedef{PY@tok@se}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.36,0.12}{##1}}} +\@namedef{PY@tok@sr}{\def\PY@tc##1{\textcolor[rgb]{0.64,0.35,0.47}{##1}}} +\@namedef{PY@tok@ss}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@sx}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@m}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@gh}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}} +\@namedef{PY@tok@gu}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.50,0.00,0.50}{##1}}} +\@namedef{PY@tok@gd}{\def\PY@tc##1{\textcolor[rgb]{0.63,0.00,0.00}{##1}}} +\@namedef{PY@tok@gi}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.52,0.00}{##1}}} +\@namedef{PY@tok@gr}{\def\PY@tc##1{\textcolor[rgb]{0.89,0.00,0.00}{##1}}} +\@namedef{PY@tok@ge}{\let\PY@it=\textit} +\@namedef{PY@tok@gs}{\let\PY@bf=\textbf} +\@namedef{PY@tok@gp}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}} +\@namedef{PY@tok@go}{\def\PY@tc##1{\textcolor[rgb]{0.44,0.44,0.44}{##1}}} +\@namedef{PY@tok@gt}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.27,0.87}{##1}}} +\@namedef{PY@tok@err}{\def\PY@bc##1{{\setlength{\fboxsep}{\string -\fboxrule}\fcolorbox[rgb]{1.00,0.00,0.00}{1,1,1}{\strut ##1}}}} +\@namedef{PY@tok@kc}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kd}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kn}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@kr}{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@bp}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\@namedef{PY@tok@fm}{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\@namedef{PY@tok@vc}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@vg}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@vi}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@vm}{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\@namedef{PY@tok@sa}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@sb}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@sc}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@dl}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@s2}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@sh}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@s1}{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\@namedef{PY@tok@mb}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@mf}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@mh}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@mi}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@il}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@mo}{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\@namedef{PY@tok@ch}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cm}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cpf}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@c1}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} +\@namedef{PY@tok@cs}{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.24,0.48,0.48}{##1}}} + +\def\PYZbs{\char`\\} +\def\PYZus{\char`\_} +\def\PYZob{\char`\{} +\def\PYZcb{\char`\}} +\def\PYZca{\char`\^} +\def\PYZam{\char`\&} +\def\PYZlt{\char`\<} +\def\PYZgt{\char`\>} +\def\PYZsh{\char`\#} +\def\PYZpc{\char`\%} +\def\PYZdl{\char`\$} +\def\PYZhy{\char`\-} +\def\PYZsq{\char`\'} +\def\PYZdq{\char`\"} +\def\PYZti{\char`\~} +% for compatibility with earlier versions +\def\PYZat{@} +\def\PYZlb{[} +\def\PYZrb{]} +\makeatother + + + % For linebreaks inside Verbatim environment from package fancyvrb. + \makeatletter + \newbox\Wrappedcontinuationbox + \newbox\Wrappedvisiblespacebox + \newcommand*\Wrappedvisiblespace {\textcolor{red}{\textvisiblespace}} + \newcommand*\Wrappedcontinuationsymbol {\textcolor{red}{\llap{\tiny$\m@th\hookrightarrow$}}} + \newcommand*\Wrappedcontinuationindent {3ex } + \newcommand*\Wrappedafterbreak {\kern\Wrappedcontinuationindent\copy\Wrappedcontinuationbox} + % Take advantage of the already applied Pygments mark-up to insert + % potential linebreaks for TeX processing. + % {, <, #, %, $, ' and ": go to next line. + % _, }, ^, &, >, - and ~: stay at end of broken line. + % Use of \textquotesingle for straight quote. + \newcommand*\Wrappedbreaksatspecials {% + \def\PYGZus{\discretionary{\char`\_}{\Wrappedafterbreak}{\char`\_}}% + \def\PYGZob{\discretionary{}{\Wrappedafterbreak\char`\{}{\char`\{}}% + \def\PYGZcb{\discretionary{\char`\}}{\Wrappedafterbreak}{\char`\}}}% + \def\PYGZca{\discretionary{\char`\^}{\Wrappedafterbreak}{\char`\^}}% + \def\PYGZam{\discretionary{\char`\&}{\Wrappedafterbreak}{\char`\&}}% + \def\PYGZlt{\discretionary{}{\Wrappedafterbreak\char`\<}{\char`\<}}% + \def\PYGZgt{\discretionary{\char`\>}{\Wrappedafterbreak}{\char`\>}}% + \def\PYGZsh{\discretionary{}{\Wrappedafterbreak\char`\#}{\char`\#}}% + \def\PYGZpc{\discretionary{}{\Wrappedafterbreak\char`\%}{\char`\%}}% + \def\PYGZdl{\discretionary{}{\Wrappedafterbreak\char`\$}{\char`\$}}% + \def\PYGZhy{\discretionary{\char`\-}{\Wrappedafterbreak}{\char`\-}}% + \def\PYGZsq{\discretionary{}{\Wrappedafterbreak\textquotesingle}{\textquotesingle}}% + \def\PYGZdq{\discretionary{}{\Wrappedafterbreak\char`\"}{\char`\"}}% + \def\PYGZti{\discretionary{\char`\~}{\Wrappedafterbreak}{\char`\~}}% + } + % Some characters . , ; ? ! / are not pygmentized. + % This macro makes them "active" and they will insert potential linebreaks + \newcommand*\Wrappedbreaksatpunct {% + \lccode`\~`\.\lowercase{\def~}{\discretionary{\hbox{\char`\.}}{\Wrappedafterbreak}{\hbox{\char`\.}}}% + \lccode`\~`\,\lowercase{\def~}{\discretionary{\hbox{\char`\,}}{\Wrappedafterbreak}{\hbox{\char`\,}}}% + \lccode`\~`\;\lowercase{\def~}{\discretionary{\hbox{\char`\;}}{\Wrappedafterbreak}{\hbox{\char`\;}}}% + \lccode`\~`\:\lowercase{\def~}{\discretionary{\hbox{\char`\:}}{\Wrappedafterbreak}{\hbox{\char`\:}}}% + \lccode`\~`\?\lowercase{\def~}{\discretionary{\hbox{\char`\?}}{\Wrappedafterbreak}{\hbox{\char`\?}}}% + \lccode`\~`\!\lowercase{\def~}{\discretionary{\hbox{\char`\!}}{\Wrappedafterbreak}{\hbox{\char`\!}}}% + \lccode`\~`\/\lowercase{\def~}{\discretionary{\hbox{\char`\/}}{\Wrappedafterbreak}{\hbox{\char`\/}}}% + \catcode`\.\active + \catcode`\,\active + \catcode`\;\active + \catcode`\:\active + \catcode`\?\active + \catcode`\!\active + \catcode`\/\active + \lccode`\~`\~ + } + \makeatother + + \let\OriginalVerbatim=\Verbatim + \makeatletter + \renewcommand{\Verbatim}[1][1]{% + %\parskip\z@skip + \sbox\Wrappedcontinuationbox {\Wrappedcontinuationsymbol}% + \sbox\Wrappedvisiblespacebox {\FV@SetupFont\Wrappedvisiblespace}% + \def\FancyVerbFormatLine ##1{\hsize\linewidth + \vtop{\raggedright\hyphenpenalty\z@\exhyphenpenalty\z@ + \doublehyphendemerits\z@\finalhyphendemerits\z@ + \strut ##1\strut}% + }% + % If the linebreak is at a space, the latter will be displayed as visible + % space at end of first line, and a continuation symbol starts next line. + % Stretch/shrink are however usually zero for typewriter font. + \def\FV@Space {% + \nobreak\hskip\z@ plus\fontdimen3\font minus\fontdimen4\font + \discretionary{\copy\Wrappedvisiblespacebox}{\Wrappedafterbreak} + {\kern\fontdimen2\font}% + }% + + % Allow breaks at special characters using \PYG... macros. + \Wrappedbreaksatspecials + % Breaks at punctuation characters . , ; ? ! and / need catcode=\active + \OriginalVerbatim[#1,codes*=\Wrappedbreaksatpunct]% + } + \makeatother + + % Exact colors from NB + \definecolor{incolor}{HTML}{303F9F} + \definecolor{outcolor}{HTML}{D84315} + \definecolor{cellborder}{HTML}{CFCFCF} + \definecolor{cellbackground}{HTML}{F7F7F7} + + % prompt + \makeatletter + \newcommand{\boxspacing}{\kern\kvtcb@left@rule\kern\kvtcb@boxsep} + \makeatother + \newcommand{\prompt}[4]{ + {\ttfamily\llap{{\color{#2}[#3]:\hspace{3pt}#4}}\vspace{-\baselineskip}} + } + + + + % Prevent overflowing lines due to hard-to-break entities + \sloppy + % Setup hyperref package + \hypersetup{ + breaklinks=true, % so long urls are correctly broken across lines + colorlinks=true, + urlcolor=urlcolor, + linkcolor=linkcolor, + citecolor=citecolor, + } + % Slightly bigger margins than the latex defaults + + \geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in} + + + +\begin{document} +\maketitle +\frontmatter +\tableofcontents +\listoffigures +\listoftables +\chapter{Acknowledgements} +I would like to thank my supervisor, Professor Someone. This +research was funded by the Imaginary Research Council. +\chapter{Introduction} +A brief summary of the project goes here. +\mainmatter +\include{basics_of_python_chapter} +\include{techintro} +\include{method} +\include{results} +\include{conc} +\backmatter +\end{document}
\ No newline at end of file diff --git a/tutorials/module_1/latex/module1.toc b/tutorials/module_1/latex/module1.toc new file mode 100644 index 0000000..a8b4487 --- /dev/null +++ b/tutorials/module_1/latex/module1.toc @@ -0,0 +1,21 @@ +\contentsline {chapter}{\nonumberline Acknowledgements}{iv}{chapter*.4}% +\contentsline {chapter}{\nonumberline Introduction}{v}{chapter*.5}% +\contentsline {chapter}{\numberline {1}Basics of Python}{1}{chapter.1}% +\contentsline {section}{\numberline {1.1}Basics of Python}{1}{section.1.1}% +\contentsline {subsection}{\numberline {1.1.1}Syntax}{1}{subsection.1.1.1}% +\contentsline {subsubsection}{\nonumberline Indentations and blocks}{1}{subsubsection*.7}% +\contentsline {subsubsection}{\nonumberline Comments}{1}{subsubsection*.9}% +\contentsline {subsection}{\numberline {1.1.2}Operators}{1}{subsection.1.1.2}% +\contentsline {subsubsection}{\nonumberline Arithmetic operators}{1}{subsubsection*.11}% +\contentsline {subsubsection}{\nonumberline Comparison operators}{1}{subsubsection*.13}% +\contentsline {subsubsection}{\nonumberline Logical operators}{2}{subsubsection*.15}% +\contentsline {subsubsection}{\nonumberline Identity operators}{2}{subsubsection*.17}% +\contentsline {subsection}{\numberline {1.1.3}Order of Operation}{2}{subsection.1.1.3}% +\contentsline {subsection}{\numberline {1.1.4}Data types}{3}{subsection.1.1.4}% +\contentsline {subsection}{\numberline {1.1.5}Variables}{3}{subsection.1.1.5}% +\contentsline {paragraph}{\nonumberline Declaring and Assigning Variables}{3}{paragraph*.19}% +\contentsline {subparagraph}{\nonumberline Rules}{3}{subparagraph*.21}% +\contentsline {paragraph}{\nonumberline Updating Variables}{4}{paragraph*.23}% +\contentsline {paragraph}{\nonumberline Variable Types \& Type Checking}{4}{paragraph*.25}% +\contentsline {section}{\numberline {1.2}Exercise}{4}{section.1.2}% +\providecommand \tocbasic@end@toc@file {}\tocbasic@end@toc@file diff --git a/tutorials/module_1/latex/results.aux 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