Milen Ivanov

Hello, math!

This first post exists to prove that the math pipeline works. Inline math like eiπ+1=0e^{i\pi} + 1 = 0 or ab≠2\frac{a}{b} \ne \sqrt{2} should sit nicely within a sentence.

Display math gets its own block:

∫−∞∞e−x2 dx=π\int_{-\infty}^{\infty} e^{-x^2} \, dx = \sqrt{\pi}

Sums and limits:

∑n=1∞1n2=π26,lim⁡n→∞(1+1n)n=e\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}, \qquad \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n = e

Matrices:

(abcd)−1=1ad−bc(d−b−ca)\begin{pmatrix} a & b \\ c & d \end{pmatrix}^{-1} = \frac{1}{ad - bc} \begin{pmatrix} d & -b \\ -c & a \end{pmatrix}

Aligned equations:

(x+y)2=x2+2xy+y2(x+y)(x−y)=x2−y2\begin{aligned} (x + y)^2 &= x^2 + 2xy + y^2 \\ (x + y)(x - y) &= x^2 - y^2 \end{aligned}

If all of the above renders as crisp typeset mathematics — with no layout shift and no JavaScript — the pipeline is doing its job.