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Affine - Comprehensive Dictionary Page

Affine

Part of Speech

Adjective

Pronunciation

/əˈfaɪn/

Definitions

  1. Relating to or denoting transformations of a geometric space that preserve points, straight lines, and planes.
  2. Having a close or natural connection; similar or analogous.

Usage Examples

  • Affine transformations include scaling, translation, and rotation.
  • The two theories are affine, sharing a similar foundational concept.

Etymology

Derived from the Latin affinis, meaning "related" or "bordering on."

Synonyms

  • Analogous
  • Similar
  • Connected

Antonyms

  • Dissimilar
  • Unrelated

Translations

Language Translation Pronunciation
Spanish Afin /aˈfin/
French Affine /a.fin/

Regional Pronunciation Variations

  • American English: /əˈfaɪn/
  • British English: /ˈæf.aɪn/

Historical Usage

The term "affine" has been used in mathematics since the early 20th century, particularly in geometry and algebra.

Cultural Nuances

In some contexts, "affine" can refer to relationships by marriage, though this usage is less common in modern times.

More Information

The affine concept is fundamental in various scientific fields, including computer graphics, linear algebra, and anthropology.

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