MathJax Test

Testing $\text{MathJax}$ rendering in FixIt theme.

Inline Formulas

$c = \pm\sqrt{a^2 + b^2}$ and $f(x)=\int_{-\infty}^{\infty} \hat{f}(\xi) e^{2 \pi i \xi x} d \xi$

Formula Blocks

$$ x = {-b \pm \sqrt{b^2-4ac} \over 2a} $$$$ f(a) = \frac{1}{2\pi i} \oint\frac{f(z)}{z-a}dz $$$$ \cos(\theta+\phi)=\cos(\theta)\cos(\phi)−\sin(\theta)\sin(\phi) $$$$ \int_D ({\nabla\cdot} F)dV=\int_{\partial D} F\cdot ndS $$$$ \vec{\nabla} \times \vec{F} = \left( \frac{\partial F_z}{\partial y} - \frac{\partial F_y}{\partial z} \right) \mathbf{i} + \left( \frac{\partial F_x}{\partial z} - \frac{\partial F_z}{\partial x} \right) \mathbf{j} + \left( \frac{\partial F_y}{\partial x} - \frac{\partial F_x}{\partial y} \right) \mathbf{k} $$$$ \sigma = \sqrt{ \frac{1}{N} \sum_{i=1}^N (x_i -\mu)^2} $$$$ (\nabla_X Y)^k = X^i (\nabla_i Y)^k = X^i \left( \frac{\partial Y^k}{\partial x^i} + \Gamma_{im}^k Y^m \right) $$

Chemical Equations

$$C_p[\ce{H2O(l)}] = \pu{75.3 J // mol K}$$$$ \ce{Hg^2+ ->[I-] HgI2 ->[I-] [Hg^{II}I4]^2-} $$$$C_p[\ce{H2O(l)}] = \pu{75.3 J // mol K}$$

Custom Macros

$\bold{Custom}$ macro $\KaTeX$ in $\text{MathJax}$

$$ \def\RR{{\bf R}} \def\bolda#1{{\bf #1}} \RR = \bolda{R} $$$$ \newcommand{\water}{{\rm H_{2}O}} \water = \text{H}_2\text{O} $$$$ \newcommand{\hello}[1][World]{Hello, #1!} \hello \quad \hello[FixIt] $$$$ \let\oldphi=\phi \let\oldtheta=\theta \renewcommand{\phi}{\varphi} \renewcommand{\theta}{\vartheta} \phi, \oldphi, \theta, \oldtheta $$

Custom Extensions

A physics package example:

$$ \mqty(a & b \\ c & d) = \begin{pmatrix} a & b \\ c & d \end{pmatrix} $$

An xypic package example:

$$ \begin{xy} \xymatrix { U \ar@/_/[ddr]_y \ar@{.>}[dr]|{\langle x,y \rangle} \ar@/^/[drr]^x \\ & X \times_Z Y \ar[d]^q \ar[r]_p & X \ar[d]_f \\ & Y \ar[r]^g & Z } \end{xy} $$