Concept information
Terme préférentiel
hyperplane
Définition(s)
- In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space. For example, 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, hyperplanes may have different properties. For instance, a hyperplane of an n-dimensional affine space is a flat subset with dimension n − 1 and it separates the space into two half spaces. While a hyperplane of an n-dimensional projective space does not have this property. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hyperplane)
Concept(s) générique(s)
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/MDL-QCVC37NR-7
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