KaTeX Test

This is a test of Nextra's built-in LaTeX support.

Inline Math

Here is an inline equation: $E = mc^2$

Another example: $a^2 + b^2 = c^2$

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

\mathbf{y = X\beta + \epsilon}

\hat{\beta} = (X^TX)^{-1}X^Ty

\sigma^2 = \frac{1}{N}\sum_{i=1}^{N}(x_i - \mu)^2

P(A|B) = \frac{P(B|A) \cdot P(A)}{P(B)}