Overleaf

Need to learn how to use this tool properly.

This automatically adds the numbers as well

Common things

• Add a new page? Use \clearpage or \newpage

\begin{gather} is the same? But just use align.

\begin{align}
\sum_{i=1}^{n+12} \sum_{j=389}^{20100} \sum_{k = 2i}^{3i} c = \\ 
c \sum_{i=1}^{n+12} \sum_{j=389}^{20100} \sum_{k = 2i}^{3i} 1 = \\ 
c \sum_{i=1}^{n+12} \sum_{k = 2i}^{3i} \sum_{j=389}^{20100} 1
\end{align}

If you don’t want the equations numbered (align adds $(1)$ next to the first equation, etc.), use \begin{align*}.

Align vs equation

equation “squeezes” the math (i.e. uses less white space between symbols) in order to avoid badboxes but align does not.

\documentclass[11pt,draft]{article}
\usepackage{amsmath}
\begin{document}
 Using ``equation'':
 \begin{equation*}
  1+2+3+4+5+6+7+8+9+10
  = 11+12+13+14+15+16+17+18+19+20+21
 \end{equation*}

 Using ``align'':
 \begin{align*}
  1+2+3+4+5+6+7+8+9+10
  = 11+12+13+14+15+16+17+18+19+20+21\\ 
 \end{align*}
\end{document}

Some Templates

Hash table Put this before the \begin{document}

\usepackage{array}
\newenvironment{hashtable}[1][]
  {\begin{tabular}[#1]{
     @{} 
     > {\small} r <{\normalsize~\rlap{\fbox{\strut~~}}$~~$~}
     @{} l @{}}}
  {\end{tabular}}

Usage

\begin{hashtable}
   0 & $\rightarrow 20 \rightarrow 10$ \\
   1  \\
   2   \\
   3 & $\rightarrow 13$ \\
   4 & $\rightarrow 17$ \\
\end{hashtable}