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Inline Math

Einstein’s famous equation $E = mc^2$ relates energy and mass. The quadratic formula gives us $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.

Display Math

The Gaussian integral:

\[\int_{-\infty}^{\infty} e^{-x^2} \, dx = \sqrt{\pi}\]

Bayes’ theorem:

\[P(A \mid B) = \frac{P(B \mid A) \, P(A)}{P(B)}\]

Code

import numpy as np

def gaussian(x, mu=0, sigma=1):
    return np.exp(-0.5 * ((x - mu) / sigma) ** 2) / (sigma * np.sqrt(2 * np.pi))

Writing

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