Math Equation Testing

This page tests various math equation formats to ensure they render correctly.

Inline Equations

Basic inline equation: $E = mc^2$

Inline equation with fractions: $\frac{1}{2}$

Complex inline equation: $\int_{a}^{b} x^2 dx$

Simple block equation:

E = mc^2

Equation with fractions:

\frac{d}{dx}\left( \int_{a}^{x} f(u)\,du\right)=f(x)

Matrix equation:

\begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} ax + by \\ cx + dy \end{pmatrix}

Text with $\alpha + \beta = \gamma$ inline equation followed by more text.

\sum_{i=1}^{n} i = \frac{n(n+1)}{2}

More text after a block equation.