Testing LaTeX Rendering | Glader's Blog

This article is only used to test if LaTeX formulas can render properly. The test content is generated by AI:

1. Inline Formulas

For example, we can write the famous Einstein mass-energy formula: $E=mc^2$ , which describes the relationship between energy and mass.

For quadratic equations:

ax^2 + bx + c = 0

The quadratic formula is:

x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}

Classic result of infinite series:

\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}

Also, let’s test the limit formula:

\lim_{x\to 0} \frac{\sin x}{x} = 1

Here’s an example of a 2x2 matrix:

\mathbf{A} = \begin{bmatrix} a & b \\ c & d \end{bmatrix}

And the world-famous Euler’s formula:

e^{i\pi} + 1 = 0