### Definition of Affine

1. Noun. (anthropology) kin by marriage.

Category relationships: Anthropology
Generic synonyms: Family, Kin, Kinsperson
Derivative terms: Affinal

2. Adjective. (mathematics) of or pertaining to the geometry of affine transformations.
Category relationships: Math, Mathematics, Maths
Partainyms: Affine Transformation

3. Adjective. (anthropology) related by marriage.
Exact synonyms: Affinal
Category relationships: Anthropology
Similar to: Related
Derivative terms: Affinity

### Definition of Affine

1. v. t. To refine.

### Definition of Affine

1. Adjective. (mathematics) Assigning finite values to finite quantities. ¹

2. Adjective. (mathematics) Describing a function expressible as $f\left(\vec x\right)= A \vec x + \vec b$ (which is not linear, but is similar). ¹

3. Adjective. (mathematics) Of or pertaining to a transformation that maps parallel lines to parallel lines and finite points to finite points. ¹

4. Adjective. (comparable chemistry) Having mutual affinity, of two materials. ¹

5. Noun. (genealogy) A relative by marriage. ¹

6. Verb. To refine. ¹

¹ Source: wiktionary.com

### Definition of Affine

1. a relative by marriage [n -S]

### Lexicographical Neighbors of Affine

 affiesaffiliableaffiliateaffiliate marketingaffiliate networkaffiliate networksaffiliatedaffiliatesaffiliatingaffiliation affiliationsaffiliativeaffinageaffinalaffinationaffine (current term)affine arithmeticaffine combinationaffine geometryaffine group affine groupsaffine spaceaffine spacesaffine transformationaffine transformationsaffinedaffinelyaffinesaffineuraffineurs

### Literary usage of Affine

Below you will find example usage of this term as found in modern and/or classical literature:

1. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"Tlie group of affine transformations which are products of tine reflections has the equations EXERCISES 1. The set of all affine transformations which are ..."

2. Theoretical Kinematics by Oene Bottema, Bernard Roth (1990)
"An affine displacement is represented by (5.1) P = Ap + d. where P and p are ... affine geometry is less specialized and therefore less rich in concepts ..."

3. Cartanian Geometry, Nonlinear Waves, and Control Theory by Robert Hermann (1979)
"6) , has zero covariant derivative with respect to the affine connection V and ... Suppose that Z is a connected manifold with a flat affine connection it, ..."

4. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"PROJECTIVE CHANGE OF affine CONNECTION We now want to see what happens to the conjugacy equation (4.2) when the affine connection V ..."

5. Gauge Fields and Cartan-Ehresmann Connections by Robert Hermann (1975)
"ideas about “affine” maps between vector spaces. This material will be useful to the understanding of the ideas about connections. 2. affine MAPS AND affine ..."

6. Topics in Physical Geometry by Robert Hermann (1988)
"An affine connection is a certain type of geometric structure on X. It defines a family of ... As we shall see, it is often convenient to define such affine ..."

7. Geometric Structures in Nonlinear Physics by Robert Hermann (1991)
"affine CONNECTIONS. The great feature of Riemannian Geometry is that ... In this paper, we adopt the algebraic definition - due to Koszul - of an ‘affine ..."

8. Constrained Mechanics and Lie Theory by Robert Hermann (1992)
"affine connections In terms of moving frames. Given such an affine connection V and a moving coframe ..."