MathJax4 Test
Testing MathJax4 plugin functionality
Simple Math
Inline math: \(E = mc^2\)
Display math:
\[
\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}
\]
Macros Test
Using custom macros: \(\R\) and \(\set{x}{x > 0}\)
\[
L^2(\R) = \set{u : \R \to \R}{\int_\R |u|^2 < +\infty}
\]
Complex Math
\[
\begin{aligned}
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\
\nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
\nabla \cdot \vec{\mathbf{B}} & = 0
\end{aligned}
\]