An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated.
Source: tatoeba (1748788)
Affine
//əˈfaɪn//
Synonyms for "affine" (5 found)
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Related word relations
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3 entriesSynonyms
2 entriesRelated terms
2 entriesderived
22 entriesShowing 16 of 22 words.
has context
5 entriesis a
1 entriesrelated to
15 entriessimilar
1 entriesTranslations
10 translations across 9 languages.
Bulgarian
1 entries- афи́нен adj (pertaining to a kind of function that generalises a linear transformation)
Chinese Mandarin
1 entries- 仿射 adj (pertaining to a kind of function that generalises a linear transformation)
Dutch
1 entries- affien adj (pertaining to a kind of function that generalises a linear transformation)
Finnish
2 entries- affiini adj (pertaining to a kind of function that generalises a linear transformation)
- affiininen adj (pertaining to a kind of function that generalises a linear transformation)
Hungarian
1 entries- affin adj (pertaining to a kind of function that generalises a linear transformation)
Polish
1 entries- afiniczny adj (pertaining to a kind of function that generalises a linear transformation)
Portuguese
1 entries- afim adj (pertaining to a kind of function that generalises a linear transformation)
Russian
1 entries- аффи́нный adj (pertaining to a kind of function that generalises a linear transformation)
Swedish
1 entries- affin adj (pertaining to a kind of function that generalises a linear transformation)
Sample sentences
11 total sentences available.
Now, let P, Q, and R be three noncollinear points that are left fixed by an affine transformation T.
Source: wiktionary
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).
Source: wiktionary
Clearly every linear functional is affine, and every affine function is both convex and concave.
Source: wiktionary
Showing 4 of 11 available sentences.
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.