WordPress公式范例

 

没想到wordpress的latex插件支持的这么好。

写了几个例子，右键"Show Math As"=>"Tex Commands"可以看原始文本。

 

花体字母

$\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$

$\mathcal{abcdepfghijklmnopqrstuvwxyz}$

 

内嵌文本

$\langle\langle\text{PRE-PREPARE}, v, n, d\rangle_{\sigma_p}, m\rangle$

$\langle\langle PRE-PREPARE, v, n, d\rangle_{\sigma_p}, m\rangle$

 

Paxos三条约束

$B1(\mathcal{B}) \triangleq \forall B, B^{'} \in \mathcal{B} : (B \neq B^{'}) \Rightarrow (B_{bal} \neq B_{bal}^{'})$

$B2(\mathcal{B}) \triangleq \forall B, B^{'} \in \mathcal{B} : B_{qrm} \cap B_{qrm}^{'} \neq \emptyset$

$B3(\mathcal{B}) \triangleq \forall B \in \mathcal{B} : (MaxVote(B_{bal}, B_{qrm}, \mathcal{B})_{bal} \neq -\infty) \Rightarrow (B_{dec} = MaxVote(B_{bal}, B_{qrm}, \mathcal{B})_{dec})$

 

Y Combinator

$Y=\lambda f.(\lambda x.f(x x)) (\lambda x.f(x x))$

 

高斯分布

$f(x)=\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}$

 

牛顿莱布尼茨公式

$\int_a^bf(x)dx=F(x)|_a^b$

 

矩阵

$\left[ \begin{matrix} x_{11} & x_{12} & \cdots & x_{1n} \\ x_{21} & x_{22} & \cdots & x_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ x_{n1} & x_{n2} & \cdots & x_{nn} \\ \end{matrix} \right]$

 

群同构

for example: via $f(x)=e^x$，$(R,+)\cong(R,\times)$

 

对齐

$\begin{align}(a+b)^3&=(a+b)(a+b)^2 \\&=(a+b)(a^2+2ab+b^2)\\&=a^3+3a^2b+3ab^2+b^3\end{align}$

 

括号

$C_i\langle a\rangle$

 

Reference:

http://math.ecnu.edu.cn/~latex/docs/others/mathsymb.pdf

http://mohu.org/info/symbols/symbols.htm

http://blog.csdn.net/bendanban/article/details/44221279

https://snaildove.github.io/2017/08/20/LaTeX_symbols