Formulas

1. Mathmode vs. textmode
2. Inline Expression, $...$:
   $x=\alpha$: $x=\alpha$
3. Formula, \[... \]:
   \[ \int_0^{+\infty} x^n e^{-\alpha x}~dx = \frac{n!}{\alpha^{n+1}}, \quad \alpha>0 \]

   LaTeX Listing: c.tex. PDF   ZIP*   \[ \int_0^{+\infty} x^n e^{-\alpha x}~dx = \frac{n!}{\alpha^{n+1}}, \quad \alpha>0 \]

4. Numbered Equation, \begin{equation}... \end{equation}:
   Code:
   

   LaTeX Listing: d.tex. PDF   ZIP*   \begin{equation} \underline {\underline {\mathbf{M}}}(\theta)= \begin{pmatrix} \cos{\theta} & -\sin{\theta}\\ \sin{\theta} & \cos{\theta} \end{pmatrix} \end{equation} \begin{equation} \left| \begin{array}{rr} \cos{\theta} & -\sin{\theta}\\ \sin{\theta} & \cos{\theta} \end{array} \right| = \cos^2{\theta}+\sin^2{\theta} \end{equation}

   MathJax:
   \begin{equation} \underline {\underline {\mathbf{M}}}(\theta)= \begin{pmatrix} \cos{\theta} & -\sin{\theta}\\ \sin{\theta} & \cos{\theta} \end{pmatrix} \end{equation} \begin{equation} \left| \begin{array}{rr} \cos{\theta} & -\sin{\theta}\\ \sin{\theta} & \cos{\theta} \end{array} \right| = \cos^2{\theta}+\sin^2{\theta} \end{equation} As IMG/SVG: