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Home / Scripts / Scientific/Engineering / Mathematics

Random Points in an n-Dimensional Hypersphere



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Roger Stafford | More scripts
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Matlab
August 24th, 2007, 10:00 GMT
C: \ Scientific/Engineering \ Mathematics

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Random Points in an n-Dimensional Hypersphere description

 

Random Points in an n-Dimensional Hypersphere - Randomly and uniformly distributes points throughout a hypersphere.

This creates a set of random points defined by Cartesian coordinates and uniformly distributed over the interior of an n-dimensional hypersphere of radius r with center at the origin.

The 'randn' function is first used to create independent multivariate normally distributed sets of n random variables, each representing points in n-dimensional space. The incomplete gamma function, 'gammainc', is then used to map these points radially to the interior of an n-dimensional hypersphere of finite radius r in such a way as to be spatially uniformly distributed.

Requirements:

· MATLAB Release: R10



TAGS:

Random Points | Dimensional Hypersphere | matlab mathematics | Random | Points | Dimensional

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