Test of Latex plugin

This page contains a couple of tests of the Latex plugin on SLC5.

Example

The singular value decomposition of a matrix is defined as

$\begin{displaymath} A = U \Sigma V^H \end{displaymath}$

(1)

where and $V$ are both matrices with orthonormal columns, $\{\cdot\}^H$ indicates a complex-conjugate transpose, and $\Sigma$ is a diagonal matrix with singular values

$\sigma_1 > \sigma_2 > \cdots > \sigma_n \geq 0$

along the main diagonal. Eq. (1) is just one of the many matrix decompositions that exists for matrix

Another example

Debug output
- Set DEBUG = 1 Let's see if this helps

$\fbox{ \begin{tikzpicture}[auto,bend right] \node (a) at (0:1) {$0^\circ$}; \node (b) at (120:1) {$120^\circ$}; \node (c) at (240:1) {$240^\circ$}; \draw (a) to node {1} node [swap] {1'} (b) (b) to node {2} node [swap] {2'} (c) (c) to node {3} node [swap] {3'} (a); \end{tikzpicture} }$

A user example

Test, let's see if dvipng 1.9 fixes this

$\begin{equation*} \vert x \vert = \left\{ \begin{array}{rl} -x & \text{if } \quad x < 0\\ 0 & \text{if } \quad x = 0\\ x & \text{if } \quad x > 0 \end{array} \right. \end{equation*}$

In particular:

$\mu_1 = 0 \qquad\qquad\qquad\qquad (3a) \\ \mu_2 = -\mu'_1{}^2 + \mu'_2 \qquad\qquad\qquad (3b) \\ \mu_3 = 2 \mu'_1{}^3 - 3 \mu'_1 \mu'_2 + \mu'_3 \qquad\qquad (3c) \\ \mu_4 = -3 \mu'_1{}^4 + 6 \mu'_1{}^2 \mu'_2 - 4 \mu'_1 \mu'_3 + \mu'_4 \qquad (3d)$

-- NilsHoeimyr - 15-Dec-2009
Latex rendering error!! dvi file was not created.

Topic revision: r6 - 2020-08-19 - TWikiAdminUser

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