LaTeX을 처음부터 하나씩 정리하기보다는, LaTeX 문법을 사용할 때 마다 정리할 예정이다.

• $ : 수식의 전, 후에 붙여 주면 된다.(일반적 LaTeX)
• $$ : 지킬 + MathJax 연동에서는 $$ 두 개를 수식 전, 후에 붙여서 써주어야 한다.

벡터, 스칼라, 집합 등 표기법

• $$\mathbf{x}$$
• \[\mathbf{x}\]
• $$\vec{x}$$
• \[\vec{x}\]
• $$R$$
• \[R\]
• $$ \in $$
• \[\in\]
• $$ y \in R$$
• \[y \in R\]
• $$R^N$$
• \[R^N\]
• $$R^{N\times 1}$$
• \[R^{N\times 1}\]
• $$[x_n]$$
• \[[x_n]\]
• $$ \begin{bmatrix} x_{1} \\ x_{2} \\ \vdots \\ x_{N} \\ \end{bmatrix} $$
• \[\begin{bmatrix} x_{1} \\ x_{2} \\ \vdots \\ x_{N} \\ \end{bmatrix}\]
• $$\vdots$$
• \[\vdots\]
• $$\cdots$$
• \[\cdots\]
• $$\ddots$$
• \[\ddots\]
• $$\;$$
• \(\;\) 한 칸 띄기
• $$ & $$
  • 행렬에서 옆 원소 쓰기
  • 지킬에서는 작동하지 않으므로 \;\;\;\;를 대신 사용
• $$ \int_a^b f(X) dx $$
• \[\int_a^b f(X) dx\]
• $$ F(X=x) $$
• \[F(X=x)\]
• $$ P ( \{ a \leq X \}) $$
• \[P ( \{ a \leq X \})\]
  • \le, \leq, \leqq
• $$ P ( \{ a \geq X \}) $$
• \[P ( \{ a \geq X \})\]
• $$ \dfrac{dF(x)}{dx} $$
• \[\dfrac{dF(x)}{dx}\]
• $$ \rightarrow $$
• \[\rightarrow\]
• $$\sum_{i=1}^N$$
• \[\sum_{i=1}^N\]
• \bbox[15px, border:2px solid darkred]{x^T y = y^T x}
• \[\bbox[15px, border:2px solid darkred]{x^T y = y^T x}\]
• $$\infty$$
• \[\infty\]
• $${1 \over n!}$$
• \[{1 \over n!}\]
• $$\bbox[15px, border:2px solid darkred]{a}$$
• \[\bbox[15px, border:2px solid darkred]{a}\]
• $$ \text{tr} (\mathbf{A})$$
• \[\text{tr} (\mathbf{A})\]
• $$\left( \log{x} \right)$$
• \[\left( \log{x} \right)\]
• $$ f_x(x,y) = \dfrac{\partial f}{\partial x} $$
• \[f_x(x,y) = \dfrac{\partial f}{\partial x}\]
• $$\top$$
• \[\top\]
• $$\begin{eqnarray} \end{eqnarray} $$
• 방정식 앞뒤로 써주면 라인을 잡아준다.
• $$\left(\begin{matrix} a_{11}x_1x_1 + a_{12}x_1x_2 + \cdots + a_{1N}x_1x_N \\ a_{21}x_2x_1 + \cancel{a_{22}x_2x_2} + \cdots + \cancel{a_{2N}x_2x_N} + \\ \cdots \\ a_{N1}x_Nx_1 + \cancel{a_{N2}x_Nx_2} + \cdots + \cancel{a_{NN}x_Nx_N} \end{matrix} \right)$$
• \[\left(\begin{matrix} a_{11}x_1x_1 + a_{12}x_1x_2 + \cdots + a_{1N}x_1x_N + \\ a_{21}x_2x_1 + \cancel{a_{22}x_2x_2} + \cdots + \cancel{a_{2N}x_2x_N} + \\ \cdots \\ a_{N1}x_Nx_1 + \cancel{a_{N2}x_Nx_2} + \cdots + \cancel{a_{NN}x_Nx_N} \end{matrix} \right)\]
• $$\sigma$$
• \[\sigma\]
• $$\Sigma$$
• \[\Sigma\]
• $$x^{\ast}$$
• \[x^{\ast}\]
• $$\text{arg} \max_{x} f(x)$$
• \[\text{arg} \max_{x} f(x)\]
• $$\cup_i A_i \;\; \cap_i A_i$$
• \[\cup_i A_i \;\; \cap_i A_i\]
• $$P(\emptyset)$$
• \[P(\emptyset)\]
• $$P\{\emptyset\}$$
• \[P\{\emptyset\}\]
• $$\begin{eqnarray*} P(A \cup B) &=& P(A \cup (B\cap A^C)) \\ &=& P(A) + P(B\cap A^C) \\ &=& P(A) + P(B\cap A^C) + P(A ∩ B) – P(A ∩ B) \\ &=& P(A) + P((A^C\cap B) ∪ (A ∩ B)) – P(A ∩ B) \\ &=& P(A) + P(B) \; – \; P(A ∩ B) \end{eqnarray*} $$
• \[\begin{eqnarray*} P(A \cup B) \;=\; P(A \cup (B\cap A^C)) \\ \;=\; P(A) + P(B\cap A^C) \\ \;=\; P(A) + P(B\cap A^C) + P(A ∩ B) – P(A ∩ B) \\ \;=\; P(A) + P((A^C\cap B) ∪ (A ∩ B)) – P(A ∩ B) \\ \;=\; P(A) + P(B) \; – \; P(A ∩ B) \end{eqnarray*}\]
• $$\propto$$
• \[\propto\]
• $$\xrightarrow{X}$$
• \[\xrightarrow{X}\]
• $$\sim$$
• \[\sim\]
• $$\binom N x$$
• \[\binom N x\]
• $$\mathcal{N}$$
• \[\mathcal{N}\]