Math & Equations Deep Dive

2026-02-21·1 min read

#math#katex#tutorial

This post verifies LaTeX rendering via remark-math and rehype-katex.

Inline Math

The Pythagorean theorem: $a^2 + b^2 = c^2$ .

Euler's number as a limit: $e = \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n$

Euler's Identity:

e^{i\pi} + 1 = 0

The quadratic formula:

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

\begin{bmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \end{bmatrix}

2026-02-21·1 min read

#math#katex#tutorial

This post verifies LaTeX rendering via remark-math and rehype-katex.

The Pythagorean theorem: $a^2 + b^2 = c^2$ .

Euler's number as a limit: $e = \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n$

Euler's Identity:

e^{i\pi} + 1 = 0

The quadratic formula:

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

\begin{bmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \end{bmatrix}

2026-02-21·1 min read

#math#katex#tutorial

This post verifies LaTeX rendering via remark-math and rehype-katex.

The Pythagorean theorem: $a^2 + b^2 = c^2$ .

Euler's number as a limit: $e = \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n$

Euler's Identity:

e^{i\pi} + 1 = 0

The quadratic formula:

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

\begin{bmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \end{bmatrix}