Affine

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 morphism, a morphism of schemes such that the pre-image of an open affine subscheme is affine

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