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Here’s a collection of LaTeX math formulas you can use to test different features (inline, display, fractions, matrices, integrals, sums, etc.).

This is an inline formula: $e^{i\pi} + 1 = 0$

Another one with fractions and roots: $\frac{a^2 + b^2}{\sqrt{c^2 + d^2}}$

\int_0^1 x^2 , dx = \frac{1}{3}

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

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

A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{pmatrix}

f(x) = \begin{cases} x^2 & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}

\begin{aligned} (a+b)^2 &= a^2 + 2ab + b^2 \\ (a-b)^2 &= a^2 - 2ab + b^2 \end{aligned}

\binom{n}{k} = \frac{n!}{k!(n-k)!}

\gcd(a,b) = \gcd(b, a \bmod b)

\mathbb{E}[X] = \sum_{i} x_i \cdot \Pr(X = x_i)

If you'd like, I can also give you:

test blog