# affine

*See also:*

**affiné**

## Contents

## EnglishEdit

### EtymologyEdit

from Latin *affinis* (“connected with”).

### PronunciationEdit

- IPA
^{(key)}: /əˈfaɪn/

### AdjectiveEdit

**affine** (*comparative* **more affine**, *superlative* **most affine**)

- (mathematics) Assigning finite values to finite quantities.
- (geometry) Of or pertaining to a function expressible as (where is a linear transformation and is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
**1986**, Patrick J. Ryan,*Euclidean and Non-Euclidean Geometry: An Analytic Approach*, Cambridge University Press, page 44,- Now, let
*P*,*Q*, and*R*be three noncollinear points that are left fixed by an**affine**transformation*T*.

- Now, let
**1987**, Neal Koblitz,*A Course in Number Theory and Cryptography*, Springer, page 81,- In our example of the
**affine**cryptosystem family, deciphering is also accomplished by an**affine**map, namely , and so the deciphering transformation uses the same algorithm as the enciphering transformation, except with a different key, namely, the pair .

- In our example of the
**2006**, Charalambos D. Aliprantis, Kim C. Border,*Infinite Dimensional Analysis: A Hitchhiker's Guide*, Springer, 3rd Edition, page 256,- Clearly every linear functional is
**affine**, and every**affine**function is both convex and concave.

- Clearly every linear functional is

- (comparable, chemistry) Of two materials, having mutual affinity.

#### Derived termsEdit

Derived terms

#### Related termsEdit

#### TranslationsEdit

pertaining to a kind of function that generalises a linear transformation

### NounEdit

**affine** (*plural* **affines**)

- (anthropology, genealogy) A relative by marriage, an in-law.
**1970**[Routledge and Kegan Paul], Raymond Firth, Jane Hubert, Anthony Forge,*Families and Their Relatives: Kinship in a Middle-Class Sector of London*, 2006, Taylor & Francis (Routledge), page 135,- The element of personal idiosyncracy
^{[sic]}may be expected to be most marked in regard to**affines**(i.e. those related by marriage) and particularly with the consanguines of**affines**, who are linked by still more tenuous bonds. There are many possible degrees of affinal relationship here, but broadly**affines**separate into two main types: spouse of consanguine of Ego, and consanguine of spouse of Ego—exemplified by my brother's wife, and my wife's brother.

- The element of personal idiosyncracy
**1997**, Webb Keane,*Signs of Recognition: Powers and Hazards of Representation in an Indonesian Society*, University of California Press, page 51,- In contrast to bonds of kaḅisu membership, which require ritual maintenance and can produce intense factional rivalries, and those of
**affines**, which demand ongoing exchanges, unmediated relations of blood are created by nothing more than physical procreation. […] People's ability to swivel between these two rhetorical possibilities reflects the inherent tension that lies between**affines**, who are both others and extensions of oneself.

- In contrast to bonds of kaḅisu membership, which require ritual maintenance and can produce intense factional rivalries, and those of
**2004**, Irving Goldman,*Cubeo Hehénewa Religious Thought*, Columbia University Press, page 64,- For the Cubeo the Vekürüwá and Okómiwa were, as they say, designated to be their
**affines**, in a manner that was calculated to emphasize their similarities rather than the formal differences that set contemporary intermarriages apart. I suspect that Cubeo themselves sense that an excessive intimacy with the contingent of**affines**may have been suitable for a formative period of still ambiguous distinctions, but not for the real social world.

- For the Cubeo the Vekürüwá and Okómiwa were, as they say, designated to be their

#### SynonymsEdit

- (relative by marriage): in-law

#### Derived termsEdit

#### Related termsEdit

#### TranslationsEdit

in-law —

*see*in-law### VerbEdit

**affine** (*third-person singular simple present* **affines**, *present participle* **affining**, *simple past and past participle* **affined**)

- To refine.

## FrenchEdit

### VerbEdit

**affine**

- first-person singular present indicative of
*affiner* - third-person singular present indicative of
*affiner* - first-person singular present subjunctive of
*affiner* - third-person singular present subjunctive of
*affiner* - second-person singular imperative of
*affiner*

## ItalianEdit

### EtymologyEdit

### AdjectiveEdit

**affine** (*masculine and feminine plural* **affini**)

### NounEdit

**affine** m, f (*plural* **affini**)

- in-law
- similar product

## LatinEdit

### AdjectiveEdit

**affīne**

- nominative neuter singular of
*affīnis* - accusative neuter singular of
*affīnis* - vocative neuter singular of
*affīnis*