KaTeX

By Goosequill
1 minute read 119 words

This post is a quick demo to verify that KaTeX rendering works correctly.

Inline math

Einstein’s mass-energy equivalence: E=mc2E = mc^2.

For a≠0a \ne 0, the quadratic equation ax2+bx+c=0ax^2 + bx + c = 0 has solutions x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Display math

The Gaussian summation formula:

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

Euler’s identity:

eiπ+1=0e^{i\pi} + 1 = 0

Matrix

A=[123456789]A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}

Piecewise function

f(x)={x2,x≥0−x,x<0f(x) = \begin{cases} x^2, & x \ge 0 \\ -x, & x < 0 \end{cases}

Integral and limit

∫01x2 dx=13\int_0^1 x^2\,dx = \frac{1}{3} lim⁡x→0sin⁡xx=1\lim_{x \to 0} \frac{\sin x}{x} = 1

Relationship Graph

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