KaTeX 문법 정리 for Markdown

• Markdown 문서를 VS Code로 작성하는 경우 $\LaTeX$의 일부는 사용이 어렵다.
  대신, $\KaTeX$를 이용하면 어느 정도 표현이 가능하다.
• $\KaTeX$ 문서는 $\LaTeX$ 문서에서 대부분 출력이 가능할 것으로 보인다.
• $\LaTeX$ 문서의 일부는 $\KaTeX$ 문서에서 일부 출력이 불가할 것으로 보인다.
• 웹에 업로드 하는 경우 Markdown 구현에 따라 조금씩 달라 작성 후 확인이 필요하다.
  KaTeX.org의 document와 GitHub 구현에 차이점이 존재한다.

• GitHub 관련 : GitHub는 MathJax ($\KaTeX$와 경쟁 관계) 를 사용한다. 그리지 못하는 $\KaTeX$ 문법의 경우 빨간 글씨로 표시된다.
  • 이 파일은 GitHub에서 읽을 때 최적화를 목표로 한다. 원본 파일은 따로 업로드한다.

기초 사용법

항목	내용	렌더링
Inline block	$F(x)=a+b$	$$F(x)=a+b$$
Code Block	$$F(x)=a+b$$	$$F(x)=a+b$$

기초 표현법

Greeks
$$\alpha$$ \alpha	$$\Alpha$$ \Alpha	$$\beta$$ \beta	$$\Beta$$ \Beta
$$\gamma$$ \gamma	$$\Gamma$$ \Gamma	$$\delta$$ \delta	$$\Delta$$ \Delta
$$\epsilon$$ \epsilon	$$\Epsilon$$ \Epsilon	$$\zeta$$ \zeta	$$\Zeta$$ \Zeta
$$\eta$$ \eta	$$\Eta$$ \Eta	$$\theta$$ \theta	$$\Theta$$ \Theta
$$\kappa$$ \kappa	$$\Kappa$$ \Kappa	$$\lambda$$ \lambda	$$\Lambda$$ \Lambda
$$\nu$$ \nu	$$\Nu$$ \Nu	$$\xi$$ \xi	$$\Xi$$ \Xi
$$\pi$$ \pi	$$\Pi$$ \Pi	$$\rho$$ \rho	$$\Rho$$ \Rho
$$\sigma$$ \sigma	$$\Sigma$$ \Sigma	$$\tau$$ \tau	$$\Tau$$ \Tau
$$\phi$$ \phi	$$\Phi$$ \Phi	$$\psi$$ \psi	$$\Psi$$ \Psi
$$\omega$$ \omega	$$\Omega$$ \Omega

Accents
$$a'$$ a'	$$a''$$ a''	$$\check{a}$$ \check{a}	$$\dot{a}$$ \dot{a}
$$\ddot{a}$$ \ddot{a}	$$\hat{a}$$ \hat{a}	$$\underbar{a}$$ \underbar{a}	$$\tilde{a}$$ \tilde{a}
$$\utilde{a}$$ \utilde{a}	$$\vec{a}$$ \vec{a}	$$\overleftarrow{a}$$ \overleftarrow{a}	$$\overrightarrow{a}$$ \overrightarrow{a}
$$\underleftarrow{a}$$ \underleftarrow{a}	$$\underrightarrow{a}$$ \underrightarrow{a}	$$\overline{ab}$$ \overline{ab}	$$\underline{ab}$$ \underline{ab}
$$\overlinesegment{ab}$$ \overlinesegment{ab}	$$\underlinesegment{ab}$$ \underlinesegment{ab}	$$\overgroup{ab}$$ \overgroup{ab}	$$\undergroup{ab}$$ \undergroup{ab}
$$\overbrace{ab}$$ \overbrace{ab}	$$\underbrace{ab}$$ \underbrace{ab}

Delimiters
$$()$$	() \lparen \rparen	$$\lbrace\rbrace$$	\{\} \lbrace \rbrace	$$[]$$	[] \lbrack \rbrack	$$⟮⟯$$	⟮⟯ \lgroup \rgroup * 키보드 기본 키에 없음
$$⟦⟧$$	⟦⟧ \llbracket \rrbracket * 키보드 기본 키에 없음	$$\lBrace\rBrace$$	\lBrace \rBrace	$$\lt\gt$$	\lt \gt	$$⟨⟩$$	⟨⟩ \lang \rang * 키보드 기본 키에 없음
$$\vert$$	| \vert \lvert \rvert * 마크다운 기호와 겹침 주의	$$\Vert$$	|| \Vert \lVert \rVert * 마크다운 기호와 겹침 주의

Sizing
$$($$ (	$$\big($$ \big(	$$\Big($$ \Big(	$$\bigg($$ \bigg(	$$\Bigg($$ \Bigg(

Logic
$$=$$ =	$$&lt;$$ <	$$&gt;$$ >	$$:$$ :
$$\approx$$ \approx	$$\approxcolon$$ \approxcolon	$$\colonapprox$$ \colonapprox	$$\approxeq$$ \approxeq
$$\cong$$ \cong	$$\doteq$$ \doteq	$$\Doteq$$ \Doteq	$$\sim$$ \sim
$$\simeq$$ \simeq	$$\eqsim$$ \eqsim	$$\equiv$$ \equiv	$$\fallingdotseq$$ \fallingdotseq
$$\geqq$$ \geqq	$$\gtrapprox$$ \gtrapprox	$$\leqq$$ \leqq	$$\lessapprox$$ \lessapprox
$$\forall$$ \forall	$$\complement$$ \complement	$$\emptyset$$ \emptyset	$$\varnothing$$ \varnothing
$$\exists$$ \exists	$$\nexists$$ \nexists	$$\subset$$ \subset	$$\supset$$ \supset
$$\in$$ \in	$$\notin$$ \notin	$$\ni$$ \ni	$$\not \ni$$ \not \ni
$$\to$$ \to	$$\gets$$ \gets	$$\implies$$ \implies	$$\impliedby$$ \impliedby
$$\leftrightarrow$$ \leftrightarrow	$$\iff$$ \iff	$$\therefore$$ \therefore	$$\because$$ \because
$$\set{ x \vert x &gt; 10}$$	\set{ x \vert x > 10}	$$\Set{ x \vert x &gt; 10}$$	\Set{ x \vert x > 10}

Spacing
$$a\,b$$	\, 3/18 em	$$a\enspace b$$	\enspace 1/2 em
$$a\quad b$$	\quad 1 em	$$a\qquad b$$	\qquad 2 em

Vertical
$$a_b$$ a_b	$$a^b$$ a^b	$$_a^b$$ _a^b
$$\stackrel{a}{b}$$ \stackrel{a}{b}	$$\overset{a}{b}$$ \overset{a}{b}	$$\underset{a}{b}$$ \underset{a}{b}

Annotation
$$\not a$$ \not a	$$\bcancel{a}$$ \bcancel{a}	$$\xcancel{a}$$ \xcancel{a}	$$\sout{a}$$ \sout{a}
$$\overbrace{abc}^{\text{note}}$$ \overbrace{abc}^{\text{note}}	$$\underbrace{abc} _ {\text{note}}$$ \underbrace{abc}_{\text{note}}	$$\boxed{a=\frac b c}$$ \boxed{a=\frac b c}	$$\phase{60^\circ}$$ \phase{60^\circ}
$$\tag{a.b} x=y$$	\tag{a.b} x=y	$$\tag*{a.b} x=y$$	\tag*{a.b} x=y

Matrix

---

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

\begin{matrix}
a&b\\
c&d
\end{matrix}

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

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

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

\begin{Bmatrix}
a&b\\
c&d
\end{Bmatrix}

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

\begin{bmatrix}
a&b\\
c&d
\end{bmatrix}

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

\begin{vmatrix}
a&b\\
c&d
\end{vmatrix}

$$\begin{array}{c:c:c} a & b & c \\ \hline d & e & f \\ \hdashline g & h & i \end{array}$$

\begin{array}{c:c:c}
a&b&c\\
\hline
d&e&f\\
\hdashline
g&h&i
\end{array}

$$\begin{bmatrix} a & \cdots & b \\ \vdots & \ddots & \vdots \\ c & \cdots & d \end{bmatrix}$$

\begin{bmatrix}
a&\cdots&b\\
\vdots&\ddots&\vdots\\
c&\cdots&d
\end{bmatrix}

---

Math operators, symbols

Operators
$$+$$ +	$$-$$ -	$$*$$ *	$$/$$ /
$$\pm$$ \pm	$$\times$$ \times	$$\div$$ \div	$$\And$$ \And
$$\cdot$$ \cdot	$$\circ$$ \circ	$$\cap$$ \cap	$$\cup$$ \cup
$$\oplus$$ \oplus	$$\ominus$$ \ominus	$$\odot$$ \odot	$$\otimes$$ \otimes
$$\bmod$$ \bmod	$$x\mod a$$ x\mod a	$$x\pmod a$$ x\pmod a	$$x\pod a$$ x\pod a
$$\sin$$ \sin	$$\sinh$$ \sinh	$$\arcsin$$ \arcsin
$$\cos$$ \cos	$$\cosh$$ \cosh	$$\arccos$$ \arccos
$$\tan$$ \tan	$$\tanh$$ \tanh	$$\arctan$$ \arctan
$$\sec$$ \sec	$$\csc$$ \csc	$$\cot$$ \cot
$$\det$$ \det	$$\inf$$ \inf	$$\min$$ \min	$$\max$$ \max
$$\deg$$ \deg	$$\sec$$ \sec
$$\log$$ \log	$$\ln$$ \ln	$$\exp$$ \exp	$$\sup$$ \sup
$$\lim$$ \lim	$$\varliminf$$ \varliminf	$$\varinjlim$$ \varinjlim	$$\varprojlim$$ \varprojlim
$$\sqrt[a]{b}$$ \sqrt[a]{b}	$$\operatorname{f}$$ \operatorname{f}

Big Operators
$$\sum$$ \sum	$$\prod$$ \prod	$$\coprod$$ \coprod
$$\int$$ \int	$$\iint$$ \iint	$$\iiint$$ \iiint
$$\oint$$ \oint	$$\oiint$$ \oiint	$$\oiiint$$ \oiiint
$$\bigotimes$$ \bigotimes	$$\bigoplus$$ \bigoplus	$$\bigodot$$ \bigodot

Fractions
$$a/b$$ a/b	$$a\over b$$ a\over b	$$\frac{a}{b}$$ \frac{a}{b}	$$\dfrac{a}{b}$$ \dfrac{a}{b}
$$\genfrac(]{1pt}{}{a}{b+c}$$ \genfrac(]{1pt}{}{a}{b+c}	$${a}\above{1pt}{b+c}$$ {a}\above{1pt}{b+c}	$$\cfrac{a}{b+\cfrac{c}{d}}$$ \cfrac{a}{b+\cfrac{c}{d}}

Binomials
$$\binom{a}{b}$$ \binom{a}{b}	$$\dbinom{a}{b}$$ \dbinom{a}{b}	$${a}\brace{b}$$ {a}\brace{b}	$${a}\brack{b}$$ {a}\brack{b}

Symbols
$$\%$$ \%	$$\#$$ \#	$$\&$$ \&	$$\colon$$ \colon
$$\infty$$ \infty	$$\infin$$ \infin
$$\degree$$ \degree	$$\angle$$ \angle	$$\measuredangle$$ \measuredangle	$$\sphericalangle$$ \sphericalangle
$$\prime$$ \prime	$$\backprime$$ \backprime
$$\cdots$$ \cdots	$$\vdots$$ \vdots	$$\ddots$$ \ddots	$$\ldots$$ \ldots
$$\Box$$ \Box	$$\triangle$$ \triangle	$$\triangledown$$ \triangledown	$$\diamond$$ \diamond

수식 표현법

Equation

---

$$\begin{equation} F(x)=a+b \end{equation}$$

\begin{equation}
F(x)=a+b
\end{equation}

$$\begin{equation}\begin{split} F(x)=a+b \\ =c+b \end{split}\end{equation}$$

\begin{equation}
\begin{split}
F(x)=a+b\\
=c+b
\end{split}
\end{equation}

$$\begin{align} F(x)=a+b \\ =c \end{align}$$

\begin{align}
F(x)=a+b\\
=c
\end{align}

$$\begin{aligned} F(x)=a+b \\ =c \end{aligned}$$

\begin{aligned}
F(x)=a+b\\
=c
\end{aligned}

$$\begin{gather} F(x)=a+b \\ =c \end{gather}$$

\begin{gather}
F(x)=a+b\\
=c
\end{gather}

$$\begin{gathered} F(x)=a+b \\ =c \end{gathered}$$

\begin{gathered}
F(x)=a+b\\
=c
\end{gathered}

$$\begin{align} F(x)&=a+b \\ &=c \end{align}$$

\begin{align}
F(x)&=a+b\\
&=c
\end{align}

$$\begin{align} \tag{1.1} a+b=1 \\ \tag{1.2} c+d=2 \end{align}$$

\begin{align}
    \tag{1.1}
        a+b=1\\
    \tag{1.2}
        c+d=2
\end{align}

* 수식에 태그 붙이는 방법

---

Cases

---

$$x = \begin{cases} a & \text{if } b \\ c & \text{if } d \end{cases}$$

x = \begin{cases}
   a &\text{if } b \\
   c &\text{if } d
\end{cases}

$$\begin{rcases} a & \text{if } b \\ c & \text{if } d \end{rcases}⇒…$$

\begin{rcases}
   a &\text{if } b \\
   c &\text{if } d
\end{rcases}⇒…

---

Font

Color
$$\textcolor{blue}{a+b=c}$$	\textcolor{blue}{a+b=c}
$$\textcolor{#126A31}{a+b=c}$$	\textcolor{#126A31}{a+b=c}
$$\colorbox{skyblue}{$a+b=c$}$$	\colorbox{skyblue}{$a+b=c$}
$$\fcolorbox{crimson}{gold}{$a+b=c$}$$	\fcolorbox{crimson}{gold}{$a+b=c$}

Font
$$\mathrm{abc}$$	\mathrm{abc}
$$\mathbf{abc}$$	\mathbf{abc}
$$\mathit{abc}$$	\mathit{abc}
$$\vdots$$

Size
$$\large a$$ \large a	$$\Large a$$ \Large a	$$\LARGE a$$ \LARGE a	$$\huge a$$ \huge a	$$\Huge a$$ \Huge a