Sample Post with LaTeX

This is a sample blog post to demonstrate how equations are rendered using MathJax.

Inline Math

Einstein's mass-energy equivalence formula is given by \( E = mc^2 \). Isn't that neat?

Display Math

Here is the Schrödinger equation:

$$ i\hbar \frac{\partial}{\partial t} \Psi(\mathbf{r}, t) = \hat{H} \Psi(\mathbf{r}, t) $$

More Complex Math

We can also write matrices and integrals:

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

And a matrix:

$$ \mathbf{M} = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} $$