数学特殊字体样式 \mathbb, \mathsf, \mathtt, \mathit,\mathcal
\mathbb:blackboard bold,板粗体
\mathcal:calligraphy,美术字
\mathrm:math roman,罗马字体
\mathbf:math boldfac,黑体
\mathcal ,花体
\mathcal D 表示样本集,
\mathcal L 表示loss 函数,
\mathcal N 表示高斯分布函数
\boldsymbol 希腊字母加黑体,如果采用\mathbf则不起作用
a) \mathbb{R},\mathsf{R},\mathtt{R}, \mathit{R},\mathcal{R}
\mathbb{N},\mathsf{N},\mathtt{N}, \mathit{N},\mathcal{N} #对应效果如下
,
b) L_{exp}(H)=\mathbb{E}_{x\sim D}[e^{-f(x)H(x)}] #对应效果如下
c) x\sim\mathcal N(\mu,\sigma^2) #对应效果如下
d) \mathop{\arg\min}\limits_{\theta}, \mathop{\arg\min}\limits_{\theta}
\begin{align}
f(w,z) &= \left \| x - zw \right \|^2 \nonumber \\
& = (x- zw)^T(x - zw) \nonumber \\
& = (x ^{T}x-2zw ^{T}x +w^Tz^Tzw) \nonumber
\end{align}
\begin{align}
f(w,z) &= \left \| x - zw \right \|^2 \nonumber \\
& = (x- zw)^T(x - zw) \nonumber \\
& = (x ^{T}x-2zw ^{T}x +w^Tz^Tzw)
\end{align}
\begin{align}
\nabla\hat{p}(X^{(t)})\equiv g({X^{(t)}})&=\frac{2}{Nh^{d+2}}\bigg(\frac{1}{2\pi}\bigg)^{(d/2)}\sum_{i=1}^N \bigg(X^{(t)}-X_{i}\bigg)K^\prime\bigg(\bigg|\bigg|\frac{X^{(t)}-X_i}{h}\bigg|\bigg|^2\bigg) \nonumber \\
&=\frac{1}{Nh^{d+2}}\bigg(\frac{1}{2\pi}\bigg)^{(d/2)}\sum_{i=1}^N \bigg(X_{i}- X^{(t)}\bigg)K\bigg(\bigg|\bigg|\frac{X^{(t)}-X_i}{h}\bigg|\bigg|^2\bigg) \nonumber \\
&=\frac{1}{Nh^{d+2}}\bigg(\frac{1}{2\pi}\bigg)^{(d/2)}\bigg[\sum_{i=1}^N K\bigg(\bigg|\bigg|\frac{X^{(t)}-X_i}{h}\bigg|\bigg|^2\bigg)\bigg]\bigg[\frac{\sum_{i=1}^NK\bigg(\bigg|\bigg|\frac{X^{(t)}-X_i}{h}\bigg|\bigg|^2\bigg)X_i}{\sum_{i=1}^NK\bigg(\bigg|\bigg|\frac{X^{(t)}-X_i}{h}\bigg|\bigg|^2\bigg)}-X^{(t)}\bigg] \ (1.1) \nonumber
\end{align}
完整符号对应链接 Latex 数学符号