Here are the Code examples of of this chapter. You can compile them online right on this web page by pressing the Typeset / Compile button. You can also edit them for testing, and compile again.
For a better view with the online compiler, I sometimes use \documentclass[border=10pt]{standalone} instead of \documentclass{article}. Instead of having a big letter/A4 page, the standalone class crops the paper to see just the visible text without an empty rest of a page.
Any question about a code example? Post it on LaTeX.org, I will answer. As forum admin I read every single question there. (profile link).
\documentclass{article}
\usepackage{dsfont}
\usepackage{algorithm}
\usepackage{algorithmicx}
\usepackage{algpseudocode}
\usepackage{mathtools}
\newcommand{\minbox}[2]{%
\mathmakebox[\ifdim#1<\width\width\else#1\fi]{#2}}
\newcommand{\Let}[2]{\State $ \minbox{1em}{#1} \gets #2 $}
\algnewcommand{\Local}{\State\textbf{local variables: }}
\pagestyle{empty}
\begin{document}
\begin{algorithm}
\caption{Mandelbrot set}
\label{alg:mandelbrot}
\begin{algorithmic}[1]
\Require{$c_x, c_y, \Sigma_{\max} \in \mathds{R},
\quad i \in \mathds{N}, \quad i_{\max} > 0,
\quad \Sigma_{\max} > 0$}
\Function{mandelbrot}{$c_x, c_y, i_{\max},
\Sigma_{\max}$}
\Local{$x, y, x^\prime, y^\prime, i, \Sigma$}
\Let{x, y, i, \Sigma}{0}
\Comment{initial zero value for all}
\While{$\Sigma \leq \Sigma_{\max}$
and $i < i_{\max}$}
\Let{x^\prime}{x^2 - y^2 + c_x}
\Let{y^\prime}{2xy + c_y}
\Let{m}{x^\prime}
\Let{y}{y^\prime}
\Let{\Sigma}{x^2 + y^2}
\EndWhile
\If{$i < i_{\max}$}
\State \Return{$i$}
\EndIf
\State\Return{0}
\EndFunction
\end{algorithmic}
\end{algorithm}
\end{document}
\documentclass[border={10pt 10pt 30pt 10pt}]{standalone}
\usepackage{xcolor}
\usepackage{inconsolata}
\newcommand{\Cpp}{C\texttt{++}}
\usepackage{listings}
\lstset{
language = C++,
basicstyle = \ttfamily,
keywordstyle = \color{blue}\textbf,
commentstyle = \color{gray},
stringstyle = \color{green!70!black},
stringstyle = \color{red},
columns = fullflexible,
numbers = left,
numberstyle = \scriptsize\sffamily\color{gray},
caption = A hello world program in \Cpp,
xleftmargin = 0.16\textwidth,
xrightmargin = 0.16\textwidth,
showstringspaces = false,
float,
}
\begin{document}
\begin{lstlisting}
// include standard input/output stream objects:
#include
// the main method:
int main()
{
std::cout << "Hello TeX world!" << std::endl;
}
\end{lstlisting}
\end{document}
\documentclass{standalone}
\usepackage{tkz-graph}
\GraphInit[vstyle = Shade]
\tikzset{
LabelStyle/.style = { rectangle, rounded corners, draw,
minimum width = 2em, fill = yellow!50,
text = red, font = \bfseries },
VertexStyle/.append style = { inner sep=5pt,
font = \Large\bfseries},
EdgeStyle/.append style = {->, bend left} }
\thispagestyle{empty}
\begin{document}
\begin{tikzpicture}
\SetGraphUnit{5}
\Vertex{B}
\WE(B){A}
\EA(B){C}
\Edge[label = 1](A)(B)
\Edge[label = 2](B)(C)
\Edge[label = 3](C)(B)
\Edge[label = 4](B)(A)
\Loop[dist = 4cm, dir = NO, label = 5](A.west)
\Loop[dist = 4cm, dir = SO, label = 6](C.east)
\tikzset{EdgeStyle/.append style = {bend left = 50}}
\Edge[label = 7](A)(C)
\Edge[label = 8](C)(A)
\end{tikzpicture}
\end{document}
\documentclass[border=15pt]{standalone}
\usepackage{tkz-graph}
\begin{document}
\begin{tikzpicture}[rotate=18]
\SetGraphUnit{5}
\GraphInit[vstyle=Normal]
\Vertices{circle}{A,B,C,D,E}
\Edges(A,B,C,D,E,A,D,B,E,C,A)
\end{tikzpicture}
\end{document}
% Bad example of using units
\documentclass[border=10pt]{standalone}
\begin{document}
% bad style which shall be improved:
\( m \cdot s = m \cdot 1 m s^{-1} \)
\end{document}
% Better way of using units
\documentclass[border=10pt]{standalone}
\usepackage{siunitx}
\begin{document}
\( m \cdot s = m \cdot \SI{1}{\meter\per\second} \)
\end{document}
\documentclass[border=10pt]{standalone}
\usepackage{siunitx}
\usepackage{cancel}
\usepackage{color}
\sisetup{per-mode = symbol}
\begin{document}
\( m \cdot s = m \cdot
\SI{1e-3}{\cancel\m\highlight{red}\km\per\s} \)
\end{document}
\documentclass[border=10pt]{standalone}
\usepackage{siunitx}
\sisetup{per-mode = symbol}
\begin{document}
\( m \cdot s = m \cdot \SI{1}{\m\per\s} \)
\end{document}
\documentclass[border=10pt]{standalone}
\usepackage{siunitx}
\sisetup{per-mode = symbol}
\begin{document}
\si{\kg\m\per\square\s}
\end{document}
\documentclass[border=10pt]{standalone}
%\renewcommand{\familydefault}{\sfdefault}
\usepackage{siunitx}
\usepackage{sfmath}
\sisetup{per-mode = symbol, detect-all}
\begin{document}
\sffamily
\( m \cdot s = m \cdot \SI{1}{\m\per\s} \)
\end{document}
\documentclass{scrartcl}
\usepackage{chemformula}
\pagestyle{empty}
\begin{document}
\section*{About \ch{Na2SO4}}
\ch{Na2SO4} is sodium sulfate.
It contains \ch{Na+} and \ch{SO4^2-}.
\ch{Na2SO4 * 10 H2O} is a decahydrate.
\[
\ch{Na2SO4 + 2 C -> Na2S + 2 CO2}
\]
\begin{equation}
\ch{Na2SO4 + H2SO4 <=> 2 NaHSO4}
\end{equation}
\section*{Isotopes}
\ch{^{232}_{92}U140} is uranium-232.
\section*{Hydrocarbons}
\begin{itemize}
\item \ch{H3C-CH3} is ethane,
\item \ch{H2C=CH2} is ethylene,
\item \ch{H2C+CH2} is ethyne.
\end{itemize}
\end{document}
\documentclass[border=10pt]{standalone}
\usepackage{chemfig}
\begin{document}
\renewcommand{\arraystretch}{1.5}
\begin{tabular}{rl}
Hydrogen: & \chemfig{H-H} \\
Oxygen: & \chemfig{O=O} \\
Ethyne: & \chemfig{H-C~C-H}
\end{tabular}
\qquad
Methane: \chemfig{[,0.8]C(-[2]H)(-[4]H)(-[6]H)-H}
\end{document}
\documentclass[border=15pt]{standalone}
\usepackage{chemfig}
\begin{document}
\chemfig{C*6((-H)-C(-H)=C(-H)-C(-H)=C(-H)-C(-H)=)}
\end{document}
\documentclass[border=15pt]{standalone}
\usepackage{chemfig}
\begin{document}
\chemname{\chemfig{*6(=-=-=-)}}{Benzene}
\end{document}
\documentclass{article}
\usepackage{chemfig}
\pagestyle{empty}
\begin{document}
\chemfig{C*6((-H)-C(-H)=C(-H)-C(-H)=C(-H)-C(-H)=)}
\end{document}
\documentclass[border=15pt]{standalone}
\usepackage{chemfig}
\begin{document}
\definesubmol{C}{-C(-[2]H)(-[6]H)}
\chemfig{H!C!C!C!C!C-H}
\end{document}
\documentclass{article}
\usepackage{chemfig}
\pagestyle{empty}
\begin{document}
\chemfig[scale=1.5,transform shape][color=blue]{H-C~C-H}
\hspace{0.2\linewidth}
\chemfig[thick][rotate=15]{C(-[2]H)(-[4]H)(-[6]H)-H}
\end{document}
\documentclass[border=10pt]{standalone}
\usepackage{chemfig}
\newcommand{\charge}[1]{\rlap{${}^{\texttt{#1}}$}}
\newcommand{\positive}{\charge{+}}
\newcommand{\negative}{\charge{-}}
\begin{document}
\chemfig{H\positive-[:322.25]O\negative-[:37.75]H\positive}
\end{document}
\documentclass{article}
\usepackage[hmargin=4cm]{geometry}
\usepackage{carbohydrates}
\pagestyle{empty}
\begin{document}
\centering
\glucose[model=fischer,chain]\quad
\glucose[model={fischer=skeleton},chain]
\vspace{1cm}
\glucose[model=haworth,chain]\hfill
\glucose[model=haworth,ring]\hfill
\glucose[model=chair,ring]
\end{document}
\documentclass{article}
\usepackage[hmargin=4cm]{geometry}
\usepackage{carbohydrates}
\pagestyle{empty}
\begin{document}
\centering
\glucose[model=fischer,chain]\qquad
\glucose[model={fischer=skeleton},chain]
\end{document}
\documentclass{article}
\usepackage[hmargin=4cm]{geometry}
\usepackage{carbohydrates}
\pagestyle{empty}
\begin{document}
\centering
\glucose[model=haworth,chain]\hfill
\glucose[model=haworth,ring]\hfill
\glucose[model=chair,ring]
\end{document}
\documentclass[border=10pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{circuits.ee.IEC}
\begin{document}
\begin{tikzpicture}[
circuit ee IEC,
x = 3cm, y = 2cm,
every info/.style = {font = \scriptsize},
set diode graphic = var diode IEC graphic,
set make contact graphic = var make contact IEC graphic,
]
\foreach \i in {1,...,3} {
\node [contact] (lower contact \i) at (\i,0) {};
\node [contact] (upper contact \i) at (\i,1) {};
}
\draw (upper contact 1) to [diode] (lower contact 1);
\draw (lower contact 2) to [capacitor] (upper contact 2);
\draw (upper contact 1) to [resistor = {ohm = 6}]
(upper contact 2);
\draw (lower contact 2) to [resistor = {adjustable}]
(lower contact 3);
\draw (lower contact 1) to [
voltage source = {near start,
direction info = {volt = 12}},
inductor = {near end}]
(lower contact 2);
\draw (upper contact 2) to [make contact = {near start},
battery = {near end,
info = {loaded}}]
(upper contact 3);
\draw (lower contact 3) to [bulb = {minimum height = 0.6cm}]
(upper contact 3);
\end{tikzpicture}
\end{document}