hyperplane

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hyperplane

[¦hī·pər‚plān]
(mathematics)
A hyperplane is an (n- 1)-dimensional subspace of an n-dimensional vector space.
References in periodicals archive ?
For example, the set of faces of a central or affine hyperplane arrangement or the set of covectors of an oriented matroid (possibly affine) is a CW left regular band.
An affine arrangement of hyperplanes A is a finite collection of affine hyperplanes in V.
Let H an affine hyperplane orthogonal to the line between x and y that passes through [x + y/2].
exp x [phi] is a locally finite affine hyperplane arrangement on [Hom.
Definition 11 A arrangement of hyperplanes in V is a collection B of affine hyperplanes in V.
Here the affine tranposition ((i, j)) corresponds to the reflection in the affine hyperplane
A hyperplane arrangement is a set of hyperplanes, possibly affine hyperplanes, in V.
The set of values [delta] [member of] Z such that f vanishes identically on the affine hyperplane of equation f = [delta] is provided by Table 2.
j] lies on the positive side of the affine hyperplane containing the face [F.
G, w) is the following collection of affine hyperplanes in Ish(G):
A hyperplane arrangement A (or simply an arrangement) is a finite collection of affine hyperplanes in [V.