수학 기호 LaTex Symbols

LaTeX:Symbols

일반적으로 사용하는 LaTex symbols(수학 기호) 목록의 문서이다.

Contents

• 2 다른 기호 검색(Finding Other Symbols)
• 3 일반 연산자(Operators)
• 4 관계 연산자(Relations)
• 5 그리스 기호(Greek_Letters)
• 7 화살표(Arrow)
• 8 점(Dots)
• 9 악샌트(Accents)
• 10 기타(Others)
• 11 명령 기호(Command Symbols)
• 13 가로 기호(Bracketing Symbols)
• 14 멀티 크기 기호(Multi-Size Symbols)

다른 기호 검색(Finding Other Symbols)

일반적인 기호를 찾기 위해 참고할 웹페이지는 다음과 같다.

• Detexify 기호를 그려서 코드(code)를 찾을 수 있다.
  
  
• MathJax (웹에서 사용 가능하게 하는 ) 지원하는 목록(list of supported commands).
  
  
• 많은 LaTeX Symbol 목록 문서.
  
  

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일반 연산자 (Operators)

Symbol	Command	Symbol	Command	Symbol	Command
	\pm		\mp		\times
	\div		\cdot		\ast
	\star		\dagger		\ddagger
	\amalg		\cap		\cup
	\uplus		\sqcap		\sqcup
	\vee		\wedge		\oplus
	\ominus		\otimes		\circ
	\bullet		\diamond		\lhd
	\rhd		\unlhd		\unrhd
	\oslash		\odot		\bigcirc
	\triangleleft		\Diamond		\bigtriangleup
	\bigtriangledown		\Box		\triangleright
	\setminus		\wr		\sqrt{x}
	x^{\circ}		\triangledown		\sqrt[n]{x}
	a^x		a^{xyz}

관계 연산자 (Relations)

Symbol	Command	Symbol	Command	Symbol	Command
	\le		\ge		\neq
	\sim		\ll		\gg
	\doteq		\simeq		\subset
	\supset		\approx		\asymp
	\subseteq		\supseteq		\cong
	\smile		\sqsubset		\sqsupset
	\equiv		\frown		\sqsubseteq
	\sqsupseteq		\propto		\bowtie
	\in		\ni		\prec
	\succ		\vdash		\dashv
	\preceq		\succeq		\models
	\perp		\parallel		\gg
	\mid		\bumpeq		\ll

Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a few examples, plus a few other negations; it works for many of the others as well.

Symbol	Command	Symbol	Command	Symbol	Command
	\nmid		\nleq		\ngeq
	\nsim		\ncong		\nparallel
	\not<		\not>		\not=
	\not\le		\not\ge		\not\sim
	\not\approx		\not\cong		\not\equiv
	\not\parallel		\nless		\ngtr
	\lneq		\gneq		\lnsim
	\lneqq		\gneqq

To use other relations not listed here, such as =, >, and <, in LaTeX, you may just use the symbols on your keyboard.

그리스 문자 (Greek Letters)

Lowercase Letters

Symbol	Command	Symbol	Command	Symbol	Command	Symbol	Command
	\alpha		\beta		\gamma		\delta
	\epsilon		\varepsilon		\zeta		\eta
	\theta		\vartheta		\iota		\kappa
	\lambda		\mu		\nu		\xi
	\pi		\varpi		\rho		\varrho
	\sigma		\varsigma		\tau		\upsilon
	\phi		\varphi		\chi		\psi
	\omega

Capital Letters

Symbol	Command	Symbol	Command	Symbol	Command	Symbol	Command
	\Gamma		\Delta		\Theta		\Lambda
	\Xi		\Pi		\Sigma		\Upsilon
	\Phi		\Psi		\Omega

화살표 (Arrows)

Symbol	Command	Symbol	Command
	\gets		\to
	\leftarrow		\Leftarrow
	\rightarrow		\Rightarrow
	\leftrightarrow		\Leftrightarrow
	\mapsto		\hookleftarrow
	\leftharpoonup		\leftharpoondown
	\rightleftharpoons		\longleftarrow
	\Longleftarrow		\longrightarrow
	\Longrightarrow		\longleftrightarrow
	\Longleftrightarrow		\longmapsto
	\hookrightarrow		\rightharpoonup
	\rightharpoondown		\leadsto
	\uparrow		\Uparrow
	\downarrow		\Downarrow
	\updownarrow		\Updownarrow
	\nearrow		\searrow
	\swarrow		\nwarrow

(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)

점 (Dots)

Symbol	Command	Symbol	Command	Symbol	Command	Symbol	Command
	\dots
	\cdots
	\ddots
	\iddots
	\vdots

악샌트 (Accents)

Symbol	Command	Symbol	Command	Symbol	Command
	\hat{x}		\check{x}		\dot{x}
	\breve{x}		\acute{x}		\ddot{x}
	\grave{x}		\tilde{x}		\mathring{x}
	\bar{x}		\vec{x}

When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:

Symbol	Command	Symbol	Command
	\vec{\jmath}		\tilde{\imath}

\tilde and \hat have wide versions that allow you to accent an expression:

Symbol	Command	Symbol	Command
	\widehat{3+x}		\widetilde{abc}

기타 (Others)

Symbol	Command	Symbol	Command	Symbol	Command
	\infty		\triangle		\angle
	\aleph		\hbar		\imath
	\jmath		\ell		\wp
	\Re		\Im		\mho
	\prime		\emptyset		\nabla
	\surd		\partial		\top
	\bot		\vdash		\dashv
	\forall		\exists		\neg
	\flat		\natural		\sharp
	\backslash		\Box		\Diamond
	\clubsuit		\diamondsuit		\heartsuit
	\spadesuit		\Join		\blacksquare
	\S		\P		\copyright
	\pounds		\overarc{ABC}(it works)		\underarc{XYZ}(it works)
	\bigstar
	\square
	\mathbb{R}(all real numbers)
	\checkmark		$

명령 기호 (Command Symbols)

명령어로 사용되는 기호들

Symbol	Command	Symbol	Command	Symbol	Command	Symbol	Command
	\textdollar		\&		\%		\#
	\_		\{		\}		\backslash

(Warning: Using $ for will result in . This is a bug as far as we know. Depending on the version of this is not always a problem.)

가로 기호 (Bracketing Symbols)

수학에서 사용되는 다양한 가로 기호들

Symbol	Command	Symbol	Command	Symbol	Command
	\{		\}		\|
	\backslash		\lfloor		\rfloor
	\lceil		\rceil		\langle
	\rangle

You might notice that if you use any of these to typeset an expression that is vertically large, like

(\frac{a}{x} )^2

the parentheses don't come out the right size:

If we put \left and \right before the relevant parentheses, we get a prettier expression:

\left(\frac{a}{x} \right)^2

gives

\left and \right can also be used to resize the following symbols:

Symbol	Command	Symbol	Command	Symbol	Command
	\uparrow		\downarrow		\updownarrow
	\Uparrow		\Downarrow		\Updownarrow

다양한 크기의 기호 (Multi-Size Symbols)

Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use \[...\] or $$...$$, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the commands section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.

In each of the following, the two images show the symbol in display mode, then in inline mode.

Symbol	Command	Symbol	Command	Symbol	Command
	\sum		\int		\oint
	\prod		\coprod		\bigcap
	\bigcup		\bigsqcup		\bigvee
	\bigwedge		\bigodot		\bigotimes
	\bigoplus		\biguplus