Definition of Hyperspheres. Meaning of Hyperspheres. Synonyms of Hyperspheres

Here you will find one or more explanations in English for the word Hyperspheres. Also in the bottom left of the page several parts of wikipedia pages related to the word Hyperspheres and, of course, Hyperspheres synonyms and on the right images related to the word Hyperspheres.

Definition of Hyperspheres

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Meaning of Hyperspheres from wikipedia

- In mathematics, an n-sphere or hypersphere is an ⁠ n {\displaystyle n} ⁠-dimensional generalization of the ⁠ 1 {\displaystyle 1} ⁠-dimensional circle...
- public sphere; it has a whole new structure. Mathematicians talk about hyperspheres when they want to describe a sphere of higher dimensionality, where normal...
- a hypersphere in four-dimensional space (a 3-sphere). Just as in the simpler example above, each rotation represented as a point on the hypersphere is...
- densest lattice ****ngs of hyperspheres are known up to 8 dimensions. Very little is known about irregular hypersphere ****ngs; it is possible that...
- In mathematics, a hypersphere, 3-sphere, or glome is a 4-dimensional analogue of a sphere, and is the 3-dimensional n-sphere. In 4-dimensional Euclidean...
- {\displaystyle n} ≤ 4 {\displaystyle 4} . There are four Hopf fibrations of hyperspheres: S 0 ↪ S 1 → S 1 , S 1 ↪ S 3 → S 2 , S 3 ↪ S 7 → S 4 , S 7 ↪ S 15 → S...
- 0^{0}=1} .) The support of the Von Mises–Fisher distribution is the hypersphere, or more specifically, the ( p − 1 ) {\displaystyle (p-1)} -sphere, denoted...
- quadratic equation applies to systems of pairwise tangent spheres or hyperspheres. Geometrical problems involving tangent circles have been pondered for...
- But as they use a different type of category representation (namely hyperspheres), they do not require their input to be normalised to the interval [0...
- the kissing number of the lattice and the highest for dimension 5. A hypersphere in 5-space (also called a 4-sphere due to its surface being 4-dimensional)...