**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 geometry, a geometry characterized by parallel lines
- Affine differential geometry, a geometry that studies differential invariants under the action of the special affine group
- 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 (Société), A French Commercial real estate company.
- Affine space, an abstract structure that generalises the affine-geometric properties of Euclidean space
- Affine transformation, a linear transformation that preserves the relation of parallelism between lines

### Other articles related to "affine":

Special

... In the mathematical study of transformation groups, the special

**Affine**Group... In the mathematical study of transformation groups, the special

**affine**group is the group of**affine**transformations of a fixed**affine**space which preserve volume ... This is the**affine**analogue of the special linear group ... On Rn, every special**affine**transformation has the form where A is an n×n matrix of determinant one, and b is a fixed vector in Rn ...**Affine**Focal Set - Local Structure

... up to local diffeomorphism, the

**affine**focal set ... If the family of

**affine**distance functions can be shown to be a certain kind of family then the local structure is known ... We want the family of

**affine**distance functions to be a versal unfolding of the singularities which arrise ...

Abstract Algebraic Variety - Introduction and Definitions -

... Let k be an algebraically closed field and let An be an

**Affine**Varieties... Let k be an algebraically closed field and let An be an

**affine**n-space over k ... vanish, that is to say A subset V of An is called an**affine**algebraic set if V = Z(S) for some S ... A nonempty**affine**algebraic set V is called irreducible if it cannot be written as the union of two proper algebraic subsets ...Linear Type System - Different Substructural Type Systems -

...

**Affine**Type Systems...

**Affine**types are a weaker version of linear types and correspond to**affine**logic an**affine**resource can only be used once, while a linear one must be used once ...Main Site Subjects

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