I'm testing out the new MathJax functionality. This allows me to use TeX, LaTeX or MathML to display math equations. To learn more about MathJax, visit their website: www.mathjax.org
Basic tests
Equation \eqref{relations_ex} shows a basic relationship.
\[
a \cdot{x} \le 5 \ge b y
\label{relations_ex}
\]
Equation \eqref{frac_ex} shows an example of using fractions.
\begin{equation}
\frac{a + 2}{a + 1}
\label{frac_ex}
\end{equation}
Integrals and differentials
Equation \eqref{int_ex} shows an example using integrals.
\[
y(t) = \int_{0}^{\infty} \! x \, \mathrm{d}t
\label{int_ex}
\]
Equation \eqref{ode_ex_n} shows an example using differential equations using Newtons dot notation.
\[
\ddot{y} - \dot{y} + p y = q
\label{ode_ex_n}
\]
Equation \eqref{pde_ex_l} shows Leibniz's differential notation for a PDE (
Wave Equation).
\[
\frac{\partial^2 \! u}{\partial t^2} = c^2 \nabla^2 {u}
\label{pde_ex_l}
\]
Formatting
An in-line equation: \(x = 5\).
Equation \eqref{color_ex} shows an example with parts of the equation highlighted red.
\[
\require{color}
{\color{red}{x}} = 5
\label{color_ex}
\]