# n-sphere

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## n-sphere

[′en ‚sfir]
(mathematics)
The set of all points in (n +1)-dimensional euclidean space whose distance from the origin is unity, where n is a positive integer.
References in periodicals archive ?
Each CV cluster is a m-dimensional hypersphere, the volume of intersection between [CV.
For instance, just as the sphere is the two-dimensional boundary of the three-dimensional ball, mathematicians have defined the hypersphere as the three-dimensional boundary of the four-dimensional ball--a space that's hard to visualize but that can nevertheless be analyzed mathematically.
If every closed loop of thread in the space can be drawn in to a single point, then the space is a hypersphere in disguise, he hypothesized.
I inscribe these polyhedrons in spheres or hyperspheres, and so the more I enclose the form of the fortress the more I simplify it, defining it in a numerical relation or in an algebraic formula.
Such a space is the surface of a hypersphere with the radius r (the curvature radius of the space).
A hypersphere in Efcleethean 3-Space is a 2-sphere, described by
n+1)] of a unit radius hypersphere located in an (n + 1)-dimensional space (this value is equal to the volume of an n-dimensional hypertorus).
2] indicates that the tree-graph is embeddable in a 3-dimensional hypersphere, [S.
Pour Spheres et Hyperspheres : Toto arrete de tourner en rond ou je te cloue l'autre pied (Humour noir des annees 1950) [Il faut le sphere
COBE satellite measurement, hyperspheres, superstrings and the dimension of space-time.
If for example, the solution space were concentric hyperspheres, the method can produce the global maximum in one step.
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