affine
Part of speech: adj
noun
verb
Morphological type: simple
Topics: anthropology
chemistry
computing
engineering
geometry
human-sciences
mathematics
natural-sciences
physical-sciences
sciences
Etymology: From Latin affinis (“connected with”).
Inflected forms:
form: more affine
pos: adj
tags: comparative
form: most affine
pos: adj
tags: superlative
form: affines
pos: noun
tags: plural
form: affines
pos: verb
tags: present
singular
third-person
form: affining
pos: verb
tags: participle
present
form: affined
pos: verb
tags: participle
past
form: affined
pos: verb
tags: past
Senses:
gloss: Assigning finite values to finite quantities.
pos: adj
tags: not-comparable
gloss: Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
pos: adj
tags: not-comparable
examples: Now, let P, Q, and R be three noncollinear points that are left fixed by an affine transformation T.
In our example of the affine cryptosystem family, deciphering is also accomplished by an affine map, namely P#92;equiva#123;-1#125;C-a#123;-1#125;b#92;bmodN, and so the deciphering transformation uses the same algorithm as the enciphering transformation, except with a different key, namely, the pair (a#123;-1#125;,-a#123;-1#125;b).
Clearly every linear functional is affine, and every affine function is both convex and concave.
gloss: Of two materials, having mutual affinity.
pos: adj
tags: comparable
gloss: A relative by marriage.
pos: noun
examples: 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 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.
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.
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.
gloss: To refine.
pos: verb
tags: transitive
examples: The next stage is remelting: the affined sugar is dissolved in hot water and the syrup formed is made alkaline by adding milk of lime.
gloss: To set the CPU affinity of something
pos: verb
tags: transitive
examples: affined the sequential regions to run only on CPU 0
the affined CPU will be randomly allocated
we also affined all interrupts to CPU cores that are not allocated to FASA
Related words: affinity
Derived words: affine arithmetic
affine combination
affine differential geometry
affine geometry
affine group
affinely
affineness
affine scheme
affine space
affine span
affine transformation
affine variety
affinition
affinization
affinize
affinoid
biaffine
centroaffine
equiaffine
nonaffine
self-affine
Translations: