This document is designed to test Markdown rendering with LaTeX math support. Below you'll find examples of Markdown formatting combined with inline and block mathematical notation.
1. Inline Math
Here is an inline formula using single dollar signs:
- Euler's identity: $e^{i\pi} + 1 = 0$
- Quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
- Pythagoras theorem: $a^2 + b^2 = c^2$
2. Block Math
Now let's test block-level LaTeX using double dollar signs:
$$ \int_{-\infty}^{\infty} e^{-x^2} , dx = \sqrt{\pi} $$
Another block formula:
$$ f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(0)}{n!}x^n $$
3. Lists and Math
- Integral: $\int_0^1 x^2 , dx = \frac{1}{3}$
- Derivative: $\frac{d}{dx} \sin(x) = \cos(x)$
- Matrix:
$$ \begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix} $$
With inline math in code: $E = mc^2$ (should not render as math here).
5. Tables
| Formula Name | Expression |
|---|---|
| Euler's Identity | $e^{i\pi} + 1 = 0$ |
| Taylor Series | $\sum_{n=0}^{\infty} \frac{x^n}{n!}$ |
| Binomial Theorem | $(a + b)^n = \sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$ |