LaTeX Code Example
\documentclass[12pt,a4paper]{article}
% Commonly used packages
\usepackage{amsmath,amsthm,amssymb} % Math packages
\usepackage{graphicx} % For images
\usepackage{hyperref} % For hyperlinks
\usepackage{listings} % For code listings
\usepackage{tikz} % For drawings
\usepackage{xcolor} % For colors
\usepackage{multirow} % For complex tables
\usepackage{lipsum} % For dummy text
\title{\textbf{LaTeX Features Demonstration}}
\author{Your Name}
\date{\today}
% Custom theorem environments
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{definition}{Definition}[section]
% Custom commands
\newcommand{\R}{\mathbb{R}}
\newcommand{\norm}[1]{\left\|#1\right\|}
\begin{document}
\maketitle
\tableofcontents
\section{Mathematical Expressions}
\subsection{Inline Math}
The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.
Let's also show a set: $S = \{x \in \R : x^2 < 4\}$.
\subsection{Display Math}
Here's a beautiful equation:
\[
\oint_C \vec{F} \cdot d\vec{r} = \iint_S (\nabla \times \vec{F}) \cdot d\vec{S}
\]
Matrix representation:
\[
A = \begin{bmatrix}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{bmatrix}
\]
\subsection{Aligned Equations}
\begin{align}
(a + b)^2 &= (a + b)(a + b) \\
&= a^2 + ab + ba + b^2 \\
&= a^2 + 2ab + b^2
\end{align}
\section{Theorems and Proofs}
\begin{theorem}
For any triangle, the sum of interior angles is 180°.
\end{theorem}
\begin{proof}
This is a sample proof. \qed
\end{proof}
\begin{lemma}
If $a|b$ and $b|c$, then $a|c$.
\end{lemma}
\section{Lists and Enumerations}
\subsection{Bullet Points}
\begin{itemize}
\item First item
\item Second item
\begin{itemize}
\item Nested item 1
\item Nested item 2
\end{itemize}
\item Third item
\end{itemize}
\subsection{Numbered List}
\begin{enumerate}
\item First step
\item Second step
\begin{enumerate}[a)]
\item Sub-step a
\item Sub-step b
\end{enumerate}
\item Third step
\end{enumerate}
\section{Tables}
\begin{table}[h]
\centering
\begin{tabular}{|c|c|c|}
\hline
\multirow{2}{*}{Item} & \multicolumn{2}{c|}{Values} \\
\cline{2-3}
& First & Second \\
\hline
A & 1 & 2 \\
B & 3 & 4 \\
\hline
\end{tabular}
\caption{Sample Table}
\label{tab:sample}
\end{table}
\section{Code Listings}
\begin{lstlisting}[language=Python]
def fibonacci(n):
if n <= 1:
return n
return fibonacci(n-1) + fibonacci(n-2)
\end{lstlisting}
\section{Graphics with TikZ}
\begin{tikzpicture}
\draw[thick,->] (0,0) -- (4,0) node[right]{$x$};
\draw[thick,->] (0,0) -- (0,4) node[above]{$y$};
\draw[blue] (0,0) circle (1cm);
\end{tikzpicture}
\section{References and Citations}
\begin{thebibliography}{9}
\bibitem{latex2e}
Leslie Lamport,
\emph{LaTeX: A Document Preparation System},
Addison-Wesley, 1994.
\end{thebibliography}
As discussed in \cite{latex2e}, LaTeX is powerful.
\appendix
\section{Additional Notes}
\lipsum[1] % Generates dummy text
\end{document}