What's the difference between
and
Enter two words to compare and contrast their definitions, origins, and synonyms to better understand how those words are related.

Affine vs Hyperplane - What's the difference?

affine | hyperplane |

As nouns the difference between affine and hyperplane

is that affine is a relative by marriage while hyperplane is 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..

As an adjective affine

is assigning finite values to finite quantities.

As a verb affine

is to refine.

affine

English

Adjective

(wikipedia affine) (en adjective)
  • (mathematics) Assigning finite values to finite quantities.
  • (mathematics) Of a function, expressible as f(\vec x)= A \vec x + \vec b (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.
  • Derived terms

    * affine geometry * affine space * affine span * nonaffine * self-affine

    Noun

    (en noun)
  • (genealogy) A relative by marriage.
  • Synonyms

    * in-law

    Derived terms

    * co-affine

    Verb

  • To refine.
  • ----

    hyperplane

    English

    Noun

    (en noun)
  • (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.)