affine

American  

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

noun

1. a person related to one by marriage.

---

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

---

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

The variety J. officinale affine has flowers that are individually larger than those of the species; J. officinale aurea has badly variegated leaves; J. officinale grandiflorum and J. officinale grandiflorum majus, are also desirable kinds.

From Hardy Ornamental Flowering Trees and Shrubs by Webster, Angus Duncan

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)

Satan with a nod Replied, "This is one element—when I The other—Opportunity—supply In just equivalent, the two'll affine And in a chemical embrace combine And Crime result—for Crime can only be Stupiditate of Opportunity."

From Black Beetles in Amber by Bierce, Ambrose