User:LucasVB/Sandbox

Sandbox

This is a test page. Ignore whatever you see here :)

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Polar polygon: sec(asin(sin(t*n/2))*2/n)

File:Fourier transform time and frequency domains.gif Hail anti-aliasing!

☢ Ҡi∊ff⌇↯ 02:58, 9 February 2006 (UTC)

$E_p=p\frac{a^2}{e{d}^3}$

Radial line $-(x\frac{1}{\cos \theta }+y\frac{1}{\sin \theta })=0$

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$-1/(1+0.8*cos(x))+cos(x)+1$

$y=-\frac{1}{1+e\cos (x)}+\cos (x)$

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$\underset{-\pi }{\overset{\pi }{\int }}\cos (nx)dx=0$

$\underset{-\pi }{\overset{\pi }{\int }}\sin (nx)dx=0$

$\underset{-\pi }{\overset{\pi }{\int }}\sin (nx)\sin (mx)dx=\{\begin{array}{ll}\pi ,& n=m\\ 0,& n\ne m\end{array}$

Trapezoid functions

asin(sin(x))*3/pi * ((sgn(sin(x))*sgn(sin(3*x))) + 1)/2 + (1-(sgn(sin(x))*sgn(sin(3*x))))/2 * sgn(sin(x));

HSV trapezoid function: ((sgn(1-((x-floor(x/3)*3)-3/2)^2)+1)/2 - (sgn(1-(2*((x-floor(x/3)*3)-3/2))^2)+1)/2 ) * (abs(2*(x-floor(x/3)*3)-3)-1) + (1-(sgn(1-((x-floor(x/3)*3)-3/2)^2)+1)/2) File:HSV-RGB-comparison.svg

File:Fourier series integral identities.gif

File:Newtons proof of Keplers second law.gif