In mathematics, an n-sphere is a generalization of the surface of an ordinary sphere to a n-dimensional space. For any natural number n, an n-sphere of radius r is defined as the set of points in-dimensional Euclidean space which are at distance r from a central point, where the radius r may be any positive real number. Thus, the n-sphere centred at the origin is defined by: It is an n-dimensional manifold in Euclidean-space. In particular:: Spheres of dimension n > 2 are sometimes called hyperspheres, with 3-spheres sometimes known as glomes. The n-sphere of unit radius centered at the origin is called the unit n-sphere, denoted S. The unit n-sphere is often referred to as the n-sphere. An n-sphere is the surface or boundary of an-dimensional ball, and is an n-dimensional manifold. For n ≥ 2, the n-spheres are the simply connected n-dimensional manifolds of constant, positive curvature. The n-spheres admit several other topological descriptions: for example, they can be constructed by gluing two n-dimensional Euclidean spaces together, by identifying the boundary of an n-cube with a point, or by forming the suspension of an-sphere.
The numerical value of n-sphere in Chaldean Numerology is: 6
The numerical value of n-sphere in Pythagorean Numerology is: 4
Sample Sentences & Example Usage
The power of man has grown in every sphere, except over himself.
Repentance may begin instantly, but reformation often requires a sphere of years.
Nature is the glass reflecting God, as by the sea reflected is the sun, too glorious to be gazed on in his sphere.
Why dost thou gaze upon the sky O that I were yon spangled sphere Then every star should be an eye, To wander o'er thy beauties here.
It would call into question the possibility that not only in the economic sphere but in the political and security sphere, that American follow-through may be lacking.
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