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" (9 found)
Ranked by relevance and common usage.
Closest matches (2)
Strong matches (3)
Adjective(3 words)
Related words (4)
Adjective(4 words)
Choosing the right synonym
- Closest matches in this entry: affinal, affined, coordinate transform, linear, linear equations.
- Sentence evidence is available for affine, so synonym choice can be checked against real usage rather than a flat word list.
- Ranking signals come from wordnet, derived_reverse, opengloss.
Synonym selection checklist
- Match the part of speech before comparing meanings.
- Check whether the synonym changes intensity, formality, or emotional tone.
- Read the replacement inside the full sentence, not just beside "affine".
- Prefer the clearest word over the most unusual word when writing for speed or comprehension.
When not to replace "affine"
Keep "affine" when the sentence already sounds natural, when a synonym would add unintended emphasis, or when readers need the most familiar wording. A synonym should clarify or sharpen the message, not simply make the sentence look more varied.
If two options seem close, choose the one that best matches the audience and purpose of the sentence.
Replacement workflow
1. Preserve meaning
Choose a synonym only if it keeps the core idea of "affine" intact in the sentence you are editing.
2. Tune tone
Check whether the replacement sounds more formal, casual, emotional, technical, or forceful than the original word.
3. Re-read context
Read the full sentence after the swap. Keep the synonym only when the sentence becomes clearer or more precise.
Review note: Synonym lists are ranked with lexical data and reviewed for practical writing value. Use the comparison notes, sentence evidence, and source labels together; a high-ranking synonym can still be wrong when the audience, register, or grammar changes.
Final fit check
After choosing a replacement for "affine", read the sentence once for meaning and once for rhythm. The best synonym should feel natural in the full sentence, not only accurate in a word list.
If the synonym makes the sentence slower, vaguer, or more dramatic than intended, keep "affine" or choose a simpler alternative from the closest-match group.
Related word relations
OpenGloss and ConceptNet supply richer edges like generalizations, collocations, and derivations.
More general
7 entriesMore specific
5 entriesaffine coordinatesaffine functionaffine hullaffine mapaffine transformation
Collocations
6 entriesaffine coordinatesaffine geometryaffine hullaffine mapaffine spaceaffine transformation
Inflections
2 entriesmore affinemost affine
Derivations
2 entriessimilar
1 entriesSample 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.
Common questions
What are the closest synonyms for "affine"?
Closest matches include affinal, affined, coordinate transform, linear, linear equations.
How should I check whether a synonym fits "affine"?
Compare the replacement against real sentence context. This entry includes sample sentences so you can check tone, grammar, and meaning before swapping words.