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This is a demo of JExtBOX Equation which is a Joomla extension for inserting math.

For example, consider the following LaTeX code.

$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$

After rendering, we have the following equation. \[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]

Let see the other example \begin{equation}\int_{0}^{1}\sqrt{x}dx=?\label{eq1}\end{equation}.

Its result will be numbered equation like the following equation. \begin{equation}\int_{-\infty}^{+\infty}e^{-x^2/2}dx=?\label{eq2}\end{equation}

To call equation, labeled eq1, like (\ref{eq2}), it needs to be written \ref{eq1}.

Now consider inline equations.

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is inline equation.

\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) is inline equation.

PSPicture Example

\begin{pspicture}(-4,-3)(4,6)
\uservariable{alpha}(0.1,0){x}
\psplot[algebraic,linewidth=2pt]{-4}{4}{pow(x,2)}
\psplot[algebraic,linecolor=blue,linewidth=3]{-4}{4}{4*(x-alpha)*alpha}
\psline{->}(-4,0)(4,0)
\end{pspicture}

The other example

\begin{pspicture}(-5,-5)(5,5)
\rput(0.3,3.75){ $Im$ }
\psline{->}(0,-3.75)(0,3.75)
\rput(3.75,0.3){ $Re$ }
\psline{->}(-3.75,0)(3.75,0)
\pscircle(0,0){ 3 }
\rput(2.3,1){$e^{i\omega}-\alpha$}
\userline[linewidth=1.5 pt]{->}(1.500,0.000)(2.121,2.121)
\userline[linewidth=1.5 pt,linecolor=blue]{->}(0,0.000)(2.121,2.121){(x>0) ? 3 * cos( atan(-y/x) ) : -3 * cos( atan(-y/x) ) }{ (x>0) ? -3 * sin( atan(-y/x) ) : 3 * sin( atan(-y/x) )}
\userline[linewidth=1.5 pt,linestyle=dashed](-1.500,0.000)(2.121,2.121){x}{0}{x}{y}
\userline[linewidth=1.5 pt,linestyle=dashed](-1.500,0.000)(2.121,2.121){0}{y}{x}{y}
\rput(-0.75,-4.25){$1+\alpha$}
\rput(2.25,-4.25){$1-\alpha$}
\psline{<->}(-3,-4)(1.5,-4)
\psline{<->}(1.5,-4)(3,-4)
\psline[linestyle=dashed](3,-4.5)(3,0)
\psline[linestyle=dashed](-3,-4.5)(-3,0)
\psline[linestyle=dashed](1.5,-4.5)(1.5,0)
\end{pspicture}

To test the rendering of maths which are loaded later, you can enter an equation as a comment below.