Affine

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Affine may refer to:

  • 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 differential geometry, a geometry that studies differential invariants under the action of the special affine group
  • 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 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 transformation, a transformation that preserves the relation of parallelism between lines

See also[edit]