Affine

• Affine cipher
  Affine cipher
  
  The Affine cipher is a special case of the more general monoalphabetic substitution cipher. In affine ciphers the encryption function for a letter is where,...
  , a special case of the more general substitution cipher
• Affine combination
  Affine combination
  
  In mathematics, an affine combination of vectors x1, ..., x'n is vectorcalled the linear combination of x1, ..., x'n , in which the sum of the coefficients is 1, thus:...
  , a certain kind of constrained linear combination
• Affine connection
  Affine connection
  
  In the mathematics of differential geometry, an affine connection is a geometrical object on a smooth manifold which connects nearby tangent spaces, and so permits vector field to be derivative as if they were functions on the manifold with values in a fixed vector space....
  , a connection on the tangent bundle of a differentiable manifold
• Affine geometry
  Affine geometry
  
  In mathematics affine geometry is the study of geometric properties which remain unchanged by affine transformations, i.e. non-singular linear transformations and Translation s....
  , a geometry not involving any notions of origin, length or angle
• Affine differential geometry
  Affine differential geometry
  
  Affine differential geometry, as its name suggests, is a type of differential geometry. The basic difference between affine and Riemannian geometry is that in the affine case we introduce volume forms over a manifold instead of metrics....
  , a geometry that studies differential invariants under the action of the special affine group
• Affine group
  Affine group
  
  In mathematics, the affine group or general affine group of any affine space over a field K is the group of all invertible affine transformations from the space into itself....
  , the group of all invertible affine transformations from any affine space over a field K into itself
• Affine representation
  Affine representation
  
  An affine representation of a topological group group G on an affine space A is a continuity group homomorphism from G to the automorphism group of A, the affine group Aff....
  , 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
  Affine space
  
  In mathematics, an affine space is a geometric structure that generalizes the affine geometry properties of Euclidean space. It can be thought of informally as a vector space where one has forgotten which point is the origin....
  , an abstract structure that generalises the affine-geometric properties of Euclidean space
• Affine transformation
  Affine transformation
  
  In geometry, an affine transformation or affine map or an affinity between two vector spaces consists of a linear transformation followed by a translation :...
  , a linear transformation followed by a translation between two vector spaces, or equivalently, a transformation that preserves all affine combinations

See also

• Affinity
  Affinity
  
  Affinity, in etymology affinity is the opposite of infinity . These two words have the same root coming from the Latin: finis = end....