That which is not forbidden is compulsory. This is the law of human existence.

Math

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other stuff

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points on a sphere

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The volume of a sphere is given by

 ;

Then

 .

Since the infinitesimal distance on the surface of the sphere is given by

 ,

differentiating gives

 

points on a hypersphere

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The volume of a hypercube should be given by

 

Then, if I have my numbers right,


Proof there exists a number of the form   s.t. a, n are irrational, and   is rational

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Let  . Then  . Now,   is either rational or irrational. If it is rational, then the theorem is proven. If it is irrational, then we can choose a new  . Then  , which is rational.

Riemann

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Wiggy

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