HRWiki:Sandbox

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(Difference between revisions)

Revision as of 23:39, 10 August 2005

The Sandbox is an HRWiki namespace page designed for testing and experimenting with wiki syntax. Feel free to try your skills at formatting here: click on edit, make your changes, and click 'Save page' when you are finished. Content added here will not stay permanently. If you need help editing, see Help:Editing.

Testing the math tags...

$\ ax^2 + bx + c=0$

$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\left(3-x\right) \times \left( \frac{2}{3-x} \right) = \left(3-x\right) \times \left( \frac{3}{2-x} \right)$

$2 = \left( \frac{\left(3-x\right) \times 3}{2-x} \right)$

$4-2x = 9-3x \!$

$-2x+3x = 9-4 \!$

$\int_a^x \int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy\,$

$\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}$

$u'' + p(x)u' + q(x)u=f(x),\,\,\,x>a$

$|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, arg(z^n) = n\,arg(z)\,$

$\lim_{z\rightarrow z_0} f(z)=f(z_0)\,$

$\phi_n(\kappa) = \frac{1}{4\pi^2\kappa^2} \int_0^\infty \frac{\sin(\kappa R)}{\kappa R} \frac{\partial}{\partial R}\left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR\,$

$\int_0^\infty x^\alpha \sin(x)\,dx = 2^\alpha \sqrt{\pi}\, \frac{\Gamma(\frac{\alpha}{2}+1)}{\Gamma(\frac{1}{2}-\frac{\alpha}{2})}\,$

$\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\,\,\,\frac{1}{L_0}<\!\!<\kappa<\!\!<\frac{1}{l_0}\,$

$f(x) = {a_0\over 2} + \sum_{n=1}^\infty a_n\cos({2n\pi x \over T}) + b_n\sin({2n\pi x\over T})\,$

$f(x) = \begin{cases}1 & -1 \le x < 0\\ \frac{1}{2} & x = 0\\x&0<x\le 1\end{cases}$

$\Gamma(z) = \int_0^\infty e^{-t} t^{z-1} \,dt\,$

$J_p(z) = \sum_{k=0}^\infty \frac{(-1)^k\left(\frac{z}{2}\right)^{2k+p}}{k!\Gamma(k+p+1)}\,$

${}_pF_q(a_1,...,a_p;c_1,...,c_q;z) = \sum_{n=0}^\infty \frac{(a_1)_n\cdot\cdot\cdot(a_p)_n}{(c_1)_n\cdot\cdot\cdot(c_q)_n}\frac{z^n}{n!}\,$

$\Gamma(n+1) = n \Gamma(n), n>0\,$

$\int_0^1 \frac{1}{\sqrt{-lnx}} dx\,$

$\int_0^\infty e^{-st}t^{x-1}\,dt,\,\,\,s>0\,$

$B(u) = \sum_{k=0}^N {P_k}{N! \over k!(N - k)!}{u^k}(1 - u)^{N-k}\,$

$u(x,y) = \frac{1}{\sqrt{2\pi}}\int_0^\infty f(\xi)\left[g(|x+\xi|,y)+g(|x-\xi|,y)\right]\,d\xi\,$

</center>

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 ==Testing the math tags...==
-<center>
 <math>\ ax^2 + bx + c=0 </math>

HRWiki:Sandbox

From Homestar Runner Wiki

Revision as of 23:39, 10 August 2005

Testing the math tags...

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