LaTeX Cheat Sheet

Expressions

Expression Number

If you need an expression number:

\begin{eqnarray}
  y=\alpha x + \beta
\end{eqnarray}

$$y=\alpha x + \beta \tag{1}$$

If you do not need an expression number:

\[
  y=\alpha x + \beta
\]

$$y=\alpha x + \beta$$

Align Equations

Use & to align multiple equations at equal positions.

\[
  a&=b+c \\
  d+e&=f
\]

$$\begin{aligned} a&=b+c \\\ d+e&=f \end{aligned}$$

\begin{eqnarray}
  a&=b+c \\
  d+e&=f
\end{eqnarray}

$$\begin{aligned} a&=b+c \\\ d+e&=f \end{aligned}$$

Simultaneous Equations

\begin{eqnarray}
  \begin{cases}
    (x - 2)^2 + y^2 + z^2 = 1\\
    x + z = 3
  \end{cases}
\end{eqnarray}

$$\begin{cases} \left(x - 2\right)^2 + y^2 + z^2 = 1\\\ x + z = 3 \end{cases}$$

\begin{numcases}
  {}
  (x - 2)^2 + y^2 + z^2 = 1\\
  x + z = 3
\end{numcases}

$$\begin{cases} \left(x - 2\right)^2 + y^2 + z^2 = 1\\\ x + z = 3 \end{cases}$$

Matrix

\begin{eqnarray}
  \left(
  \begin{array}{cc}
    a & b \\
    c & d
  \end{array}
  \right)
\end{eqnarray}

$$\begin{pmatrix} a & b \\\ c & d \end{pmatrix}$$

Source Code

minted

To write code directly in a tex file, use minted.

\begin{minted}[linenos, breaklines, frame=lines]{c}
#include <stdio.h>
int main(){
  printf("Hello, World!");
  return 0;
}
\end{minted}

Use inputminted to specify a file and put the source code in it.

\inputminted[linenos, breaklines, frame=lines]{language}{src/hello.c}

Figure

This is an example of inserting a single image. In the example below, the package here is used to insert the image at the specified position. (\usepackage{here})

\begin{figure}[H]
  \centering
  \includegraphics[width=10cm]{path2image}
  \caption{hoge}
  \label{fig1}
\end{figure}

Table

The table can be written as follows, but it is easier to create it automatically using Table generator.

\begin{table}[H]
  \centering
  \caption{title}
  \label{tbl:1}
  \begin{tabular}{ccc}
    \hline
    e1 & e2 & e3 \\
    \hline
    11 & 12 & 13 \\
    21 & 22 & 23 \\
    31 & 32 & 33 \\
    \hline
  \end{tabular}
\end{table}

Footnote

\footnote[number]{text}

Special Characters and Operators

Σ

\sum_{\alpha=0}^{\beta}

$\sum_{\alpha=0}^{\beta}$

∫

\int_{\alpha}^{\beta}

$$\int_{\alpha}^{\beta}$$

lim

\lim_{n \to \infty}

$$\lim_{n \to \infty}$$

≠

\neq

$$\neq$$

≈

\approx

$$\approx$$

≒

\fallingdotseq

$$\fallingdotseq$$

≡

\equiv

$$\equiv$$

>

\gt

$$\gt$$

<

\lt

$$\lt$$

≧

\geq
\geqq

$$\geq\\ \geqq$$

≦

\leq
\leqq

$$\leq\\ \leqq$$

×

\times

$$\times$$

÷

\div

$$\div$$

±

\pm

$$\pm$$

∈

\in

$$\in$$

⊂

\subset

$$\subset$$

∩

\cap

$$\cap$$

∪

\cup

$$\cup$$

Null Set ∅

\emptyset

$$\emptyset$$

∞

\infty

$$\infty$$

Vector

\vec{a}

$$\vec{a}$$

\bm{a}

$$\bm{a}$$

Partial, Del, ∂

\partial

$$\partial$$