## Thursday, March 22, 2012

### Verification of MathJax macros in all templates: please ignore

This is the famous equation ‹E=mc^2›. Or $$\diag (1,2,3)$$
«E=mc^2»
OK ‹a^2› $$/ \!\!\!\! P$$

This is $$a\lt b$$ and $$b\gt a$$...

Here is an equation
${\LARGE E = mc^2 } \tag{E.1}$ OK too many spaces.
${\Huge \sqrt{s}\not\in\ZZ}$ Extended $$\NNN=4$$ supersymmetry.
$a+3 \zav{\frac{c}{d}}$ in a bracket. Let's try a matrix
$\begin{pmatrix} 1 & 2 & 3 \\4 & 5 & 6 \\7 & 8 & 9 \end{pmatrix}$ See more matrix commands here or here. Array with lines
$\begin{array}{r|lc} n & n^2 & n^3 \\ \hline 3 & 9 & 27 \\ 4 & 16 & 64 \\ 11 & 121 & 1331 \end{array}$ Fine, my simplified matrix command:
$\pmatrix{ 9 & 10 & 11 \\ 12 & 13 & 14 \\ 15 & 16 & 17}$ OK?
$\eq{ c+d &= 4+3+5 \\ e&= 7+6+85+23}$ Fine, one may press enter before backslash final bracket without problems.
$b=\cases {38+a\\ 48 + b + \pmatrix{2&3\\4&6} }$ Funny. What about macros for derivatives
$\ddfrac{y}{x} \neq \pfrac{f}{x} + \pfrac{{}^2 g}{x^2} + \frac{\dd h}{\dd x}$ And backslash pmatrix without brackets
$\array{1&2&3 \\ 4& 5& 6 }$ A product of $$\ket\psi$$ and $$\bra\lambda$$ is $$\braket\lambda\psi$$.
$\int_0^\infty \dd x\,\,f(x) = g(x)$ With limits,
$\int\limits_0^\pi \dd x~\sin(x) = 2$ Ordinary linebreaks with two backslashes,
$2+3 =5 \\ 4+6=10$ OK? The mass is $$125\GeV$$, isn't it? Text may be better than rm, respects spaces:
$A_{\text{spin matrix}} = \pmatrix{0&1\\ 1&0} \neq B_{\rm bush spin}$

Test of my standardized macros, the full list to be updated:$\int \dd x\,x^2\in \CC\RR\ZZ\OO\HHH\NN\NNN\FF\HH\LL$ and $$\eV\keV\MeV\GeV\TeV$$ and $\diag (1,2,3)\pfrac{E_x}{y}\ddfrac{y}{x}\bold{ahoj}\cdot\zav{\frac 12+\frac 45}$ and $\zzav{\frac 12+\frac 34}+\abs{x+y}+\braket{\phi}{\psi}+\ket\psi+\bra\phi+\iddots$ and$\eq{ a+b&=c\\ c+d+e&=f }$