affine

See also affiné

English

Pronunciation

• IPA: /əˈfaɪn/, SAMPA: /@"faIn/

Adjective

Wikipedia

affine (comparative more affine, superlative most affine)

1. (mathematics) Assigning finite values to finite quantities.
2. (mathematics) Describing a function expressible as $f(\vec x)= A \vec x + \vec b$ (which is not linear, but is similar).
3. (mathematics) Of or pertaining to a transformation that maps parallel lines to parallel lines and finite points to finite points.
4. (comparable, chemistry) Having mutual affinity, of two materials.

Derived terms

• affine geometry
• affine space
• affine span
• nonaffine
• self-affine

Translations

describing a kind of functions

Finnish: affiini (fi), affiininen (fi)

Swedish: affin (sv)

pertaining to transformations that preserves parallel lines and finite points

Finnish: affiini (fi), affiininen (fi) Russian: афинный (ru)

Swedish: affin (sv)

Noun

affine (plural affines)

1. (genealogy) A relative by marriage.

Synonyms

• in-law

Derived terms

• co-affine

Verb

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

1. To refine.

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French

Verb

affine

1. first-person singular present indicative of affiner
2. third-person singular present indicative of affiner
3. first-person singular present subjunctive of affiner
4. first-person singular present subjunctive of affiner
5. second-person singular imperative of affiner

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Italian

Etymology

From Latin affinis.

Adjective

affine m. and f. (m and f plural affini)

1. similar
2. cognate
3. related, akin
4. (mathematics) affine

Noun

affine m. and f. (plural affini)

1. in-law
2. similar product

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Latin

Adjective

affīne

1. nominative neuter singular of affīnis
2. accusative neuter singular of affīnis
3. vocative neuter singular of affīnis

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Swedish

Adjective

affine

1. absolute definite natural masculine form of affin.