\(\LaTeX\)

Mathematical equations are nicely generated by MathJax via simply using \(\LaTeX\) language. See here for setting header.php file.

    • Cauchy’s integral formula

\begin{equation}\label{Cauchy-formula}
f(a) \,=\, {1\over 2\pi i}\oint_\gamma {f(x) \over z-a}dz
\end{equation}

    • Gauge field theory

$$ \mathcal{L} \,=\,  -\frac{1}{4}F^a_{\mu\nu}F^{a\mu\nu} + \bar{\psi}(i\gamma^\mu D_\mu – m)\psi $$

    • Maximally Helicity Violating Amplitude for Gluons

$$ {\cal A}(1^+, \ldots, i^-, \ldots, j^-, \ldots, n^+) \,=\, {\langle i\,j\rangle^4 \over \langle 1\,2\rangle \langle 2\,3\rangle \cdots \langle n\,1\rangle } $$

    • Maxwell Equations

$$ \left\{ \begin{array}{l}
\nabla \cdot B \,=\, 0\\
\nabla \cdot D \,=\, \rho \\
\nabla \times H \,=\, – \frac{{\partial D}}{{\partial t}} + j\\
\nabla \times E \,=\, – \frac{{\partial B}}{{\partial t}}
\end{array} \right. $$