Affine vs Hyperplane - What's the difference?
affine | hyperplane |
(mathematics) Assigning finite values to finite quantities.
(mathematics) Of a function, expressible as (which is not linear, but is similar).
(mathematics) Of or pertaining to a transformation that maps parallel lines to parallel lines and finite points to finite points.
(comparable, chemistry) Having mutual affinity, of two materials.
To refine.
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(geometry) 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.)