Latex QuickNote

Universal LaTeX Math Formula Syntax Manual

MathJax is an open source JavaScript mathematical sign rendering engine that runs in Web browsers, making it easy to display mathematical formulas in modern Web browsers, and is currently capable of parsing markup languages such as LaTex and MathML. languages such as LaTex and MathML. The MathJax project originated in 2009 and is currently hosted by the NumFOCUS Foundation and supported by the MathJax Consortium, a joint venture of the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM).

LaTeX is a high-quality typesetting format for generating complex tables and mathematical formulas, and is currently the de facto standard in the electronic and mathematical publishing industry. This article summarizes the LaTeX syntax often used in writing mathematical formulas, using Pandoc as the LaTex rendering engine (a command-line tool for markup language document conversion), so that you can easily refer to it when writing related scientific and technical articles.

Reserved Character

Reserved characters with special meanings in the LaTeX environment cannot be used directly, but must be realized by the specified syntax:

Greek Alphabet

Hebrew alphabet

Binary Operator

Binary Relation Symbol

Geometric Sign

Logic Sign

Set Sign

Arrow Sign

Special Sign

Points

Numeric Function

If a special function Sign is required, then it can be customized using the \operatorname{} command:

Surd

Differentiation and Derivatives

Modal Operation

Limit

Scope and Projections

Integral

Note: Integral Sign is invoked by \int\_{}^{} command, Double Integral Sign is invoked by \iint\_{}^{}, and so on, up to four integrals can be supported.

Curve integrals can be invoked with the \oint command, but MathJax does not support this syntax, so it can be invoked with the \unicode{} command with the Unicode extension enabled:

Large-scale Operators

Superscript

Binomial Coefficient

Matrix

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\begin{matrix}
x & y \\
z & v
\end{matrix}

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\begin{vmatrix}
x & y \\
z & v
\end{vmatrix}

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\begin{Vmatrix}
x & y \\
z & v
\end{Vmatrix}

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\begin{bmatrix}
0 & \cdots & 0 \\
\vdots & \ddots & \vdots \\
0 & \cdots & 0
\end{bmatrix}

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\begin{Bmatrix}
x & y \\
z & v
\end{Bmatrix}

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\begin{pmatrix}
x & y \\
z & v
\end{pmatrix}

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\bigl( \begin{smallmatrix}
a&b\\
c&d
\end{smallmatrix} \bigr)

Array

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\begin{array}{ | c | c | c | }
a & b & S \\
\hline
0 & 0 & 1 \\
0 & 1 & 1 \\
1 & 0 & 1 \\
1 & 1 & 0
\end{array}

Equations and Systems of Equations

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\begin{cases}
3x + 5y + z \\
7x - 2y + 4z \\
-6x + 3y + 2z
\end{cases}

Definition of conditions

| Sign | LaTeX | | —- | —– |

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f(n) =
\begin{cases}
n/2, & \text{if }n\text{ is even} \\
3n+1, & \text{if }n\text{ is odd}
\end{cases}

Multi-linear Equation

| Sign | LaTeX | | —- | —– |

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\begin{align}
f(x) & = (a+b)^2\\
& = a^2+2ab+b^2
\end{align}

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\begin{alignat}{2}
f(x) & = (a-b)^2 \\
& = a^2-2ab+b^2
\end{alignat}

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\begin{array}{lcl}
z & = & a \\
f(x,y,z) & = & x + y + z
\end{array}

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\begin{array}{lcr}
z & = & a \\
f(x,y,z) & = & x + y + z
\end{array}

Auto-Numbering

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\begin{eqnarray}
E = mc^2 \\
e^{i\pi}+1=0
\end{eqnarray}

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\begin{eqnarray*}
E = mc^2 \\
e^{i\pi}+1=0
\end{eqnarray*}

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\begin{eqnarray}
E = mc^2 \\
e^{i\pi}+1=0 \nonumber
\end{eqnarray}

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\begin{eqnarray}
E = mc^2 \notag\\
e^{i\pi}+1=0 \tag{b}
\end{eqnarray}

Bracket Size

Spaces and Line Breaks

MathJax 3.0 removes the \\ forced line break function in single line equation environment, so the forced line break command \\ can only be used in multi-line environment such as eqnarray, align, array, matrix, etc. Besides, you can use \displaylines{} in line display commands: \displaylines{} forced line break command. In addition, you can use \\displaylines{} to force line breaks in \displaylines{} line display commands:

Color

When writing LaTeX, it is supported to set Text, Sign or Background to the colors in the table below:

Font Color

In the formula, you can use {\color{hues}text} to call the color command, where the hues parameter is the font color and the text parameter is the formula content:

Background Color

The background color command can be invoked in the text environment using \colorbox{hues}{text}, where the hues parameter is the background color and the text parameter is the equation content:

When this command is used in a math environment, you need to add $\displaystyle + formula$ to the second argument:

Note: Using the $\displaystyle + formula $ syntax in Markdown inline LaTeX formulas $.... $ will cause conflicts when using the $\displaystyle + formula $ syntax in Markdown, so this syntax should only be used for multi-line formulas $$... $$.

RGB Color

The colors of LaTeX formulas can be customized by using the \definecolor command:

Font Style

Font Bold

Boldface

Chalkboard Newspaper

Italic

Times New Roman

Sans Serif

Handwriting

Gothic

Small Script

Font Size