\(\LaTeX\)

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

  • Cauchy’s integral formula

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

  • Guassian integral

    • (2)   \begin{equation*} \int_{-\infty}^{+\infty} e^{-\pi x^2} dx \,=\, 1 \end{equation*}

  • Gamma function

    • (3)   \begin{equation*} \Gamma(z)\,\Gamma(1{-}z) \,=\, {\pi \over \sin\pi z} \end{equation*}