Affine

Look up affine in Wiktionary, the free dictionary.

Affine may describe any of various topics concerned with connections or affinities.
It may refer to:

  • Affine, a relative by marriage in law and anthropology
  • Affine cipher, a special case of the more general substitution cipher
  • Affine combination, a certain kind of constrained linear combination
  • Affine connection, a connection on the tangent bundle of a differentiable manifold
  • Affine Coordinate System, a coordinate system that can be viewed as a Cartesian coordinate system where the axes have been placed so that they are not necessarily orthogonal to each other. See tensor.
  • Affine differential geometry, a geometry that studies differential invariants under the action of the special affine group
  • Affine gap penalty, the most widely used scoring function used for sequence alignment, especially in bioinformatics
  • Affine geometry, a geometry characterized by parallel lines
  • Affine group, the group of all invertible affine transformations from any affine space over a field K into itself
  • Affine logic, a substructural logic whose proof theory rejects the structural rule of contraction
  • Affine representation, a continuous group homomorphism whose values are automorphisms of an affine space
  • Affine scheme, the spectrum of prime ideals of a commutative ring
  • Affine space, an abstract structure that generalises the affine-geometric properties of Euclidean space
  • Affine tensor, a tensor belonging to an affine coordinate system
  • Affine transformation, a transformation that preserves the relation of parallelism between lines

See also

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