affine

== English == === Etymology === From Latin affinis (“connected with”). === Pronunciation === IPA(key): /əˈfaɪn/ Rhymes: -aɪn === Adjective === affine (comparative more affine, superlative most affine) (not comparable, mathematics) Assigning finite values to finite quantities. (not comparable, geometry) Of or pertaining to a function expressible as f ( x → ) = A x → + b → {\displaystyle f({\vec {x}})=A{\vec {x}}+{\vec {b}}} (where A {\displaystyle A} is a linear transformation and b → {\displaystyle {\vec {b}}} is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points. (comparable, chemistry) Of two materials, having mutual affinity. ==== Derived terms ==== ==== Related terms ==== affinity ==== Translations ==== === Noun === affine (plural affines) (anthropology, genealogy) A relative by marriage. Synonym: 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. ==== Derived terms ==== co-affine ==== Related terms ==== affinal ==== Translations ==== === Verb === affine (third-person singular simple present affines, present participle affining, simple past and past participle affined) (transitive) To refine. (computing, transitive) To set the CPU affinity of something == French == === Pronunciation === === Verb === affine inflection of affiner: first/third-person singular present indicative/subjunctive second-person singular imperative == Italian == === Etymology === Borrowed from Latin affīnis. === Pronunciation === IPA(key): /afˈfi.ne/ Rhymes: -ine Hyphenation: af‧fì‧ne === Adjective === affine m or f by sense (plural affini) similar cognate related, akin (mathematics) affine ==== Derived terms ==== affinemente ==== Related terms ==== affinità === Noun === affine m or f by sense (plural affini) in-law == Latin == === Adjective === affīne nominative/accusative/vocative neuter singular of affīnis == Swedish == === Adjective === affine definite natural masculine singular of affin