Definition of Affine. Meaning of Affine. Synonyms of Affine

Here you will find one or more explanations in English for the word Affine. Also in the bottom left of the page several parts of wikipedia pages related to the word Affine and, of course, Affine synonyms and on the right images related to the word Affine.

Definition of Affine

Affine
Affine Af*fine", v. t. [F. affiner to refine; ? (L. ad) + fin fine. See Fine.] To refine. [Obs.] --Holland.

Meaning of Affine from wikipedia

- 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 transformation is an automorphism of an affine space (Euclidean spaces are specific affine spaces), that is, a function which maps an affine space...
- In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent...
- The affine cipher is a type of monoalphabetic substitution cipher, where each letter in an alphabet is mapped to its numeric equivalent, encrypted using...
- In differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector...
- ] . {\displaystyle k[X_{1},\ldots ,X_{n}].} An affine variety or affine algebraic variety, is an affine algebraic set such that the ideal generated by...
- not distinct) in the complex affine space. Therefore, most of algebraic geometry is built in complex affine spaces and affine spaces over algebraically closed...
- irreducible affine algebraic set is also called an affine variety.: 3  (Some authors use the phrase affine variety to refer to any affine algebraic set...
- linear transformations on the n+1-dimensional space Rn+1. These include both affine transformations (such as translation) and projective transformations. For...
- subscheme of some projective space. An affine space is a Zariski-open subset of a projective space, and since any closed affine subset U {\displaystyle U} can...