@kidlj
@gwy15
谢谢老哥!!再次尝试了 mathjax 以及 katex 和一些配置还是无效。
这个无效指一些可能不太规范的 markdown 下的 latex 语法,特别是在 indent 环境下再次使用$$latex$$
例如以下这段 markdown 代码
“`
balabala something…
1. $mathbb{E}[sigma_{ML}^{2}]$ is biased
$$ begin{align}
mathbb{E}[sigma_{ML}^{2}] &= mathbb{E}[frac{1}{N}sum_{n=1}^{N}(x_n – mu_{ML})^2]
&= frac{1}{N}mathbb{E}[ sum(x_n^2 + mu_{ML}^2 – 2x_nmu_{ML}) ]
&= frac{1}{N}mathbb{E}[ sum{x_n^2} + Nmu_{ML}^2 – 2Nmu_{ML}^2 ]
&= frac{N}{N}mathbb{E}[x^2] – mathbb{E}[{mu_{ML}^2}] quad mathbb{E}[x_n] equiv mathbb{E} text{
beacause the variable } x_n text{ obey Gaussian distribution } mathcal{N}(x|mu, sigma^2)
&= mathbb{E}[x^2] – mathbb{E}[mu_{ML}^2]
&= (mu^2 + sigma^2) – (mu^2 + sigma_{mu_{ML}}^2)
&= sigma^2 – sigma_{mu_{ML}}^2 end{align} $$ the $sigma_{mu_{ML}}^2$ denotes the variance of
$mu_{ML}$ $$ begin{align} {rm var}[mu_{ML}] = sigma_{mu_{ML}}^2 &= {rm var}[frac{1}
{N}sum_{n=1}^{N}x_n]
&= frac{1}{N^2}{rm var}[sum_{n=1}^{N}x_n]
&= frac{1}{N^2}N{rm var}
&= frac{1}{N}sigma^2
end{align}
$$
2. balabala
“`
可能是这些本都不是正确的 markdown 规则,被 typora“惯坏了”