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Demo page for GenSI homepage.

(?<!\$)\$(?!\$) -> "$$"

Equation is $$ \alpha_t:=1-\beta_t;;\bar\alpha_t:=\prod^t_{s=1}\alpha_s\ q({\rm x}_t|{\rm x}_0)=\mathcal N({\rm x}t;\sqrt{\bar\alpha_t}{\rm x}{t-1},(1-\bar\alpha_t)\mathbf I) $$

$\alpha$ <-- wrong here

$$\alpha$$ <-- right here

inline equation should use \mid instead of | for $$p(y\mid x)$$

import numpy as np
import matplotlib.pyplot as plt
def f(x):
    return np.sin(x)