Meaning

2 senses

  1. An isotropic scaling transformation of an affine space with a single fixed point.

    zentrische Streckung

    (mathematics) an isotropic scaling transformation of an affine space with a single fixed point.

  2. A homomorphism from a module M over a ring A to itself of the form ν:x↦ax for some fixed a∈A (especially when M=A; a is said to be the ratio of the homothety, by analogy with the geometric case).

Translations

6 languages
Deutsch
By meaning 1
scaling transformation:

Origin

From Ancient Greek ὁμο- (homo-, “same”) + θέσις (thésis, “setting, placement, arrangement”

From Ancient Greek ὁμο- (homo-, “same”) + θέσις (thésis, “setting, placement, arrangement”).

Wiktionary, CC BY-SA 4.0 · source

Forms

plural: homotheties
Singularhomothety
Pluralhomotheties

regular

Synonyms

3 synonyms
isotropic scaling transformation with a fixed point:homothecyhomogeneous dilationhomothetic transformation
Close in meaning
  • (mathematics) an isotropic scaling transformation of an affine space with a single fixed point.:homothecy

Word family

2 related words
Relatedhomothetic
Derivedroto-homothety

See also

neighbours in the dictionary
homophonehomosexualhomosexualityhonchohondahoneB2
homothety — meaning, examples, forms, synonyms | Krumeto