User:Create42000/Sandbox

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please see wikipedia:en:user:Create42000

projects http://www.mediawiki.org/wiki/WMF_Projects

http://techblog.wikimedia.org/2010/09/wmf-engineering/

http://www.mediawiki.org/wiki/LiquidThreads/Redesign

collaboration http://en.wikipedia.org/wiki/User:Tbone55/User_Page/Text_guide

2 bunnies

⌥ Opt+⌘ Cmd+Esc -> Mac Force Quit

Math needing templates

{\hat {f}}(\omega )={\frac {1}{(2\pi )^{n/2}}}\int _{\mathbb {R} ^{n}}f(x)e^{-i\omega \cdot x}\,dx

f(x)={\frac {1}{(2\pi )^{n/2}}}\int _{\mathbb {R} ^{n}}{\hat {f}}(\omega )e^{i\omega \cdot x}\,d\omega .

{\frac {\partial \langle H\rangle }{\partial \pi _{n}}}={\frac {\partial a_{n}}{\partial t}}\quad ,\quad {\frac {\partial \langle H\rangle }{\partial a_{n}}}=-{\frac {\partial \pi _{n}}{\partial t}}

$\int _{0}^{i}\ e^{2\pi *x}\,dx.$

${\frac {\mathrm {d} }{\mathrm {d} t}}(mr^{2}\sin ^{2}\theta {\dot {\varphi }})=0.$

N(p) = N(p-1) + N(p-2); recur backwards

$\left(\mathrm {PL} _{j}\right)_{i}={\frac {\left(X_{j\bullet [j]}\right)_{i}^{2}}{\sum _{k=1}^{n}\left(X_{j\bullet [j]}\right)_{k}^{2}}}$

Mahalanobis distance = (N − 1)(h − 1/N)

$S_{i}^{(t)}=\left\{\mathbf {x} _{j}:{\big \|}\mathbf {x} _{j}-\mathbf {m} _{i}^{(t)}{\big \|}\leq {\big \|}\mathbf {x} _{j}-\mathbf {m} _{i^{*}}^{(t)}{\big \|}{\text{ for all }}i^{*}=1,\ldots ,k\right\}$

$\mathbf {m} _{i}^{(t+1)}={\frac {1}{|S_{i}^{(t)}|}}\sum _{\mathbf {x} _{j}\in S_{i}^{(t)}}\mathbf {x} _{j}$