affine

American  

[a-fahyn, uh-fahyn, af-ahyn] / æˈfaɪn, əˈfaɪn, ˈæf aɪn /

noun

1. a person related to one by marriage.

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adjective

Mathematics.

1. assigning finite values to finite quantities.

2. of or relating to a transformation that maps parallel lines to parallel lines and finite points to finite points.

affine British  

/ ˈæfaɪn /

adjective

1. maths of, characterizing, or involving transformations which preserve collinearity, esp in classical geometry, those of translation, rotation and reflection in an axis

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Other Word Forms

• affinely adverb

Etymology

Origin of affine

1500–10; < French affin related < Latin affinis akin, neighboring

Example Sentences

The affine wealth model has been applied to empirical data from many countries and epochs.

From Scientific American • Oct. 30, 2019

Schr�dinger has found this in an "affine" geometry, which deals with pure concepts in their essence, not with measurement in the ordinary sense.

From Time Magazine Archive

So, forth they came—a vast ancestral line, Upon my vision teeming, All shapes whose natal semblance could affine Them to me, faintly gleaming.

From Nirvana Days by Rice, Cale Young

Sed deceptum eum hae sive Danorum fide, sive credulitate sua planum facit affine isti vocabulum Finlandi� provinci� ad Regnum nostrum pertinentis, pro quo apud Snorronem & in Hist.

From The Discovery of America Vol. 1 (of 2) with some account of Ancient America and the Spanish Conquest by Fiske, John

The author says in his further description that the form affine is less definitely umbilicate, has white stems, etc.; allantoid, one would now say.

From The North American Slime-Moulds A Descriptive List of All Species of Myxomycetes Hitherto Reported from the Continent of North America, with Notes on Some Extra-Limital Species by MacBride, Thomas H. (Thomas Huston)