WiNK edit

wiki /resources /2010 /08 /mathjax+slinki

{	"title":"SliNki + MathJax",
	"copyright" : "© 2010, 1060 Research Limited",
	"favicon" : "/wink/style/icon.png",
	"splash" : "
		<div style='background-color: white; border: 3px solid #555555;' id='splash'>
<h1 style='margin-left: 10px;'>MathJax Test</h1>
<p><i>Press space or click the page to move to next slide...</i></p>
<div style='float:right;'>
<table style='background-color: white; border: 1px solid #333333;'>
<tr>
<td>W<span style="color: red;">i</span>NK</td>
<td><img src="/wink/style/poweredby.png"/></td>
</tr>
</table>
</div>
</div>
	",
	"splashDuration": "4000"
}

WiNK

MathJax Library Required

The MathJax library directory was not found in the WiNK MathJax installation...

module: urn.org.ten60.wink.mathjax
directory: /resources/MathJax/

Please download a copy from http://www.mathjax.org/ and extract it to create the MathJax/ folder.

MathJax Test

This is a demonstration showing the combination of SliNKi with the MathJax macro library for WiNK.

To include MathJax into the wiki use the {mathjax} macro.
Then just type latex in the page.
Use $$ ... $$ to delimit a block equation
Use $ ... $ for inline equations.

PJR 17/8/2010

Quadratic Equation

When $a \ne 0$, there are two solutions to $ax^2 + bx + c = 0$ and they are

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$

Schrödinger Equation

$$i\hbar\frac{\partial\psi}{\partial t} = \frac{\hbar^2}{2m}\nabla^2\psi + V(\mathbf{r})\psi$$

The Lorenz Equations

\begin{align} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{align}

The Cauchy-Schwarz Inequality

$$ \left( \sum_{k=1}^n a_k b_k \right)^{\!\!2} \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) $$

A Cross Product Formula

$$ \mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \\ \end{vmatrix} $$

The probability of getting $k$ heads when flipping $n$ coins is:

$$P(E) = {n \choose k} p^k (1-p)^{ n-k}$$

An Identity of Ramanujan

$$ \frac{1}{(\sqrt{\phi \sqrt{5}}-\phi) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\ldots} } } } $$

A Rogers-Ramanujan Identity

$$ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for $|q|<1$}. $$

Maxwell's Equations

\begin{align} \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{align}

Euler's Equation

This equation is a link to the Wikipedia page...

$$e^{i \pi}=-1$$

Inline Example

Finally, while display equations look good for a page of samples, the ability to mix math and text in a paragraph is also important. This expression $\sqrt{3x-1}+(1+x)^2$ is an example of an inline equation. As you see, MathJax equations can be used this way as well, without unduly disturbing the spacing between lines.