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hyperplane
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The answer HYPERPLANE has 0 possible clue(s) in existing crosswords.
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Definitions of hyperplane in various dictionaries:
HYPERPLANE - In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space. If a space is 3-dimensional then its hyperplanes ...
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| An n-dimensional generalization of a plane an affine subspace of dimension n-1 that splits an n-dimensional space. (In a one-dimensional space, it is a point In two-dimensional space it is a line In three-dimensional space, it is an ordinary plane) |
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In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space. If a space is 3-dimensional then its hyperplanes are the 2-dimensional planes, while if the space is 2-dimensional, its hyperplanes are the 1-dimensional lines. This notion can be used in any general space in which the concept of the dimension of a subspace is defined. * In different settings, the objects which are hyperplanes may have different properties. For instance, a hyperplane of an n-dimensional affine space is a flat subset with dimension n 1. By its nature, it separates the space into two half spaces. A hyperplane of an n-dimensional projective space does not have this property. |