Latex Math

\LaTeX $\LaTeX$

$ $ inline math, $$ $$ math block

• \mathcal{L} $\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$ Math
  Caligraphic

• \mathbb{E} $\mathbb{ABCDEFGHIJKLM}$ blackboard bold

• \mathbf{A} $\mathbf{ABCDefg}$

• \S $\S$

Equation

• \ne ≠

• \approx $\approx$

• \equiv $\equiv$

• \geq ≤

• \leq ≥

• $\coloneq$ $\coloneqq$

• $\propto$ \propto

• \backslash $\backslash$

above

• \hat $\hat{h}$

• $\overline{h}$ \overline

Operations

• \times $a \times b$

• \cdot $a \cdot b$

• \ast $\ast$

• \otimes $\otimes$

• $\perp$ \perp independence

• \sqrt[2]{x} $\sqrt[2]{x}$

Numeral

• \frac {} {} $\frac{1}{2}$

• \infty $\infty$

Calculus

• \nabla $\nabla$

• \Delta $\Delta$

• \partial $\partial$

• \sum $\sum_a^b$

• \prod $\prod$

Texts

• \text $\text{what the fuck}$

• \forall $\forall$

• \exists $\exists$

• \newline $up \newline down$

Statistics

• \tilde{x} $\tilde{x}$

• \sim $\sim$

• \leftarrow $\leftarrow$

• \rightarrow $\rightarrow$

• \mapsto $\mapsto$

• $\xleftrightarrow[under]{over}$ \xleftrightarrow[under]{over}

• \\\implies $\\\implies$

• \underbrace{hello}{sdf}
$\underbrace{hello}_{sdf}$

Linear algebra

• \overline $\overline{overline}$

• \vec $\vec{v}$

• \angle $\angle$

\begin{tag}, end{tag}

• pmatrix $\begin {pmatrix} 1 & 2 & 3 \\ 3 & 4 & 5 \\ 6 & 7 & 8 \end {pmatrix}$

• vmatrix $\begin {bmatrix} 1 & 2 & 3 \\ 3 & 4 & 5 \\ 6 & 7 & 8 \end {bmatrix}$

• vmatrix $\begin {vmatrix} 1 & 2 & 3 \\ 3 & 4 & 5 \\ 6 & 7 & 8 \end {vmatrix}$

• Vmatrix $\begin {Vmatrix} 1 & 2 & 3 \\ 3 & 4 & 5 \\ 6 & 7 & 8 \end {Vmatrix}$

• cases $\begin{cases} f(x), & \text{if a < 0}\\ g(x), & \text{if a > 0} \end{cases}$

Set

• \subset $\subset$

• \supset $\supset$

• \ni $\ni$

• \in $\in$

• \notni $\notni$

• \notin $\notin$

• \cup $\cup$

• \bigcup $\bigcup$

• \cap $\cap$

LaTex Math Spacing Whitespace

Space

• $\quad$ with \quad indent

\:
\;
\!

Line Break

[LaTeX] Math mode에서 공백 넣기(spacing)

LaTeX에서 일반 텍스트를 쓸 경우 space bar를 백번을 눌러도 공백이 만들어지지 않는다. 아래 링크에 들어가면 해결 방법이 있다. https://www.sharelatex.com/learn/Spacing_in_math_mode LATEX code Descripti..

https://dh8607.tistory.com/176

Grammar

Help:Displaying a formula

There are three methods for displaying formulas in Wikipedia: raw HTML, HTML with math templates (abbreviated here as {{math}}), and a subset of LaTeX implemented with the HTML markup &lt;math>&lt;/math> (referred to as LaTeX in this article). Each method has some advantages and some disadvantages, which have evolved over time with improvements of MediaWiki. The manual of style MOS:MATH has not always evolved accordingly. So the how-to recommendations that appear below may differ from those of the manual of style. In this case, they express a consensus resulting of the practice of most experienced members of WikiProject Mathematics and many discussions at Wikipedia talk:WikiProject Mathematics.

https://en.wikipedia.org/wiki/Help:Displaying_a_formula

cases

How to write conditional equations with one-sided curly brackets

I want to write a conditional expression such as the following. What is the best way to express such conditional expressions in Latex?

https://tex.stackexchange.com/questions/47170/how-to-write-conditional-equations-with-one-sided-curly-brackets

Arrow Types in LaTeX: A Complete List - LaTeX-Tutorial.com

LaTeX has dozens of special mathematical symbols. A few of them, such as +,-, , are produced by typing the corresponding keyboard characters. Others are obtained with LaTeX

https://latex-tutorial.com/arrow-latex/