What does n-sphere mean?

Definitions for n-sphere

Here are all the possible meanings and translations of the word n-sphere.

Freebase

  1. n-sphere

    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.

Numerology

  1. Chaldean Numerology

    The numerical value of n-sphere in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of n-sphere in Pythagorean Numerology is: 4

Sample Sentences & Example Usage

  1. Winston Churchill:

    The power of man has grown in every sphere, except over himself.

  2. Henry Ward Beecher:

    Repentance may begin instantly, but reformation often requires a sphere of years.

  3. Brigham Young:

    Nature is the glass reflecting God, as by the sea reflected is the sun, too glorious to be gazed on in his sphere.

  4. Sir Thomas More:

    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.

  5. Daniel Russel:

    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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"n-sphere." Definitions.net. STANDS4 LLC, 2017. Web. 29 Jun 2017. <http://www.definitions.net/definition/n-sphere>.

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