LaTeX Math Command Guide

Mathematical Expressions

내가 보려고 만든 LaTeX Math commands

Greek letters

• Lower case

  α	\alpha	β	\beta	𝛾	\gamma
  δ	\delta	ϵ	\epsilon	ε	\varepsilon
  ζ	\zeta	η	\eta	θ	\theta
  ϑ	\vartheta	𝜄ι	\iota	𝜅	\kappa
  λ	\lambda	μ	\mu	ν	\nu
  ξ	\xi	π	\pi	𝜛	\varpi
  ρ	\rho	ϱ	\varrho	𝜎	\sigma
  τ	\tau	υ	\upsilon	𝜙	\phi
  φ	\varphi	χ	\chi	𝜓	\psi
  ω	\omega

• Upper case

  Γ	\Gamma	Δ	\Delta	Θ	\Theta
  Λ	\Lambda	Ξ	\Xi	Π	\Pi
  Σ	\Sigma	Υ	\Upsilon	Φ	\Phi
  Ψ	\Psi	Ω	\Omega

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Basic expression

$ 하나면 in-line $$ 두개면 display

Super/sub script	X^{2}_{a}	$X^{2}_{a}$
Fraction	\frac{dx}{dt}	$\frac{dx}{dt}$
Integral	\int^{b}_{a}{f(x)dx}	$\int^{b}_{a}{f(x)dx}$
Partial derivative	\partial	$\partial$
Bracket	\left( a \right)	$\left( a \right)$
Root	\sqrt[3]{A}	$\sqrt[3]{A}$
Limit	\lim_{a \to 0}	$\lim_{a\to0}$
Infinity	\infty	$\infty$
Sum	\sum^{n}_{i=0}	$\sum^{n}_{i+1}$
Prod	\prod^{n}_{i=0}	$\prod^{n}_{i+1}$
vertical line	\vert	$\vert$
	\rvert a \lvert	$\rvert a \lvert$
	\rVert a \lVert	$\rVert a \lVert$
Times(multiplication)	\times	$\times$
Arrow	\to	$\to$
1em space	\quad	$a \quad b$

Tip.
For multiple integrals, use: \iint $\iint$ \iiint $\iiint$ etc.
For a closed path integral, use: $\oint$

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Dots

Multiplication dot	\cdot	$\cdot$
Three centered dots	\cdots	$\cdots$
Three baseline dots	\ldots	$\ldots$
Three diagonal dots	\ddots	$\ddots$
Three vertical dots	\vdots	$\vdots$

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Accents

$\hat{a}$	\hat{a}	$\bar{a}$	\bar{a}	$\mathring{a}$	\mathring{a}
$\check{a}$	\check{a}	$\dot{a}$	\dot{a}	$\vec{a} $	\vec{a}
$\tilde{a}$	\tilde{a}	$\ddot{a}$	\ddot{a}	$\widehat{AAA}$	\widehat{AAA}

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Relations

$\ne$	\ne	$\le$	\le	$\ge$	\ge
$\equiv$	\equiv	$\sim $	\sim	$\simeq $	\simeq
$ \approx$	\approx	$\cong $	\cong	$\propto$	\propto
$\mid$	\mid	$\parallel$	\parallel	$\perp$	\perp

---

Matrix

 \begin{bmatrix} 
  a & b & c
\\d & e & f
\\g & h & i
\end{bmatrix}

\[\begin{bmatrix} a & b & c \\d & e & f \\g & h & i \end{bmatrix}\]

Tip. Use \\ to separate different rows, and & to separate elements of each row.

• smallmatrix: for inline
• matrix: No delimiter
• pmatrix: ( delimiter
• bmatrix: [ delimiter
• Bmatrix: { delimiter
• vmatrix: $\vert$ delimiter
• Vmatrix: $\Vert$ delimiter

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Cases

\begin{cases}
  x & \text{if } x > 0 \\
  0 & \text{if } x \le 0
\end{cases}

\[\begin{cases} x & \text{if } x > 0 \\ 0 & \text{if } x \le 0 \end{cases}\]

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ETC

For all	\forall	$\forall$
There exist	\exists	$\exist$
Therefore	\therefore	$\therefore$
Because	\because	$\because$
if a then b (implies)	\implies	$\implies$
if and only if	\iif	$\iff$