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Noise Sphere


A mapping of random number triples to points in spherical coordinates according to

theta=2piX_n
(1)
phi=piX_(n+1)
(2)
r=sqrt(X_(n+2))
(3)

in order to detect unexpected structure indicating correlations between triples. When such structure is present (note that this does not include the expected bunching of points along the z-axis according to the factor sinphi in the spherical volume element), numbers may not be truly random.


See also

Ball Point Picking, Random Number, Sphere Point Picking

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References

Pickover, C. A. Computers and the Imagination. New York: St. Martin's Press, 1991.Pickover, C. A. "Computers, Randomness, Mind, and Infinity." Ch. 31 in Keys to Infinity. New York: W. H. Freeman, pp. 233-247, 1995.Richards, T. "Graphical Representation of Pseudorandom Sequences." Computers and Graphics 13, 261-262, 1989.

Referenced on Wolfram|Alpha

Noise Sphere

Cite this as:

Weisstein, Eric W. "Noise Sphere." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NoiseSphere.html

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