affine

Pronunciation

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Pronunciation

- IPA: /əˈfaɪn/

**affine**

- (
*mathematics*) Assigning finite values to finite quantities. - (
*geometry*) Of or pertaining to a function expressible as f(\vec x)= A \vec x + \vec b (where A is a linear transformation and \vec b 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 P \equiv a^{-1}C-a^{-1}b \bmod N, and so the deciphering transformation uses the same algorithm as the enciphering transformation, except with a different key, namely, the pair (a^{-1}, -a^{-1}b).

- 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.

- Portuguese: afim
- Russian: аффи́нный

**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

- (
*relative by marriage*) in-law

**affine** (affines, *present participle* affining; *past and past participle* affined)

- To refine.

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.066