Definition of Hyperplane. Meaning of Hyperplane. Synonyms of Hyperplane

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

Definition of Hyperplane

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Meaning of Hyperplane from wikipedia

- In geometry, a hyperplane is a generalization of a two-dimensional plane in three-dimensional space to mathematical spaces of arbitrary dimension. Like...
- In geometry, the hyperplane separation theorem is a theorem about disjoint convex sets in n-dimensional Euclidean space. There are several rather similar...
- geometry, a supporting hyperplane of a set S{\displaystyle S} in Euclidean space Rn{\displaystyle \mathbb {R} ^{n}} is a hyperplane that has both of the...
- arrangement of hyperplanes is an arrangement of a finite set A of hyperplanes in a linear, affine, or projective space S. Questions about a hyperplane arrangement...
- the dual of the hyperplane bundle or Serre's twisting sheaf OPn(1){\displaystyle {\mathcal {O}}_{\mathbb {P} ^{n}}(1)}. The hyperplane bundle is the line...
- In geometry, any hyperplane H of a projective space P may be taken as a hyperplane at infinity. Then the set complement P ∖ H is called an affine space...
- specifically in algebraic geometry and algebraic topology, the Lefschetz hyperplane theorem is a precise statement of certain relations between the shape...
- hyperplane. This is called a linear classifier. There are many hyperplanes that might classify the data. One reasonable choice as the best hyperplane...
- In mathematics, a hyperplane section of a subset X of projective space Pn is the intersection of X with some hyperplane H. In other words, we look at...
- the signed distances from the point to n mutually perpendicular fixed hyperplanes. Cartesian coordinates are named for René Descartes, whose invention...