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hyperplanes
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The answer HYPERPLANES has 0 possible clue(s) in existing crosswords.
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Definitions of hyperplanes in various dictionaries:
HYPERPLANES - 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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| Plural form of hyperplane. |
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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. |