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LaTeX Math Test

This page demonstrates complex LaTeX math rendering:

Inline math: E=mc2E = mc^2

Block math:

ex2dx=π\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}

Matrix example:

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

Nested fractions and sums:

x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} n=11n2=π26\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}

Multiple integrals:

Df(x,y)dxdy\iint_D f(x, y)\,dx\,dy

And a more complex nested equation:

F(x)=ab(n=1xnn!)dxF(x) = \int_a^b \left( \sum_{n=1}^\infty \frac{x^n}{n!} \right) dx

You can write any valid LaTeX math here!