isometry
A function between metric spaces having the property that the distance between two…A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.
» Isometry has value in classical poetry.
Meaning
1 sensesA function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.
Isometry is to metric spaces what isomorphism is to groups.
Isometrie
- equality of measure (e.g., equality of height above sea level or equality of loudness etc.)
- equality of elevation above sea level
- a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points
- the growth rates in different parts of a growing organism are the same
Examples
2 sentencesIsometry has value in classical poetry.
A distance-preserving diffeomorphism between two Riemannian manifolds is called an isometry.
deEinen Abstand bewahrenden Diffeomorphismus zwischen zwei Riemannschen Mannigfaltigkeiten bezeichnet man als Isometrie.
Translations
5 languagesBy meaning 1
Origin
From New Latin isometria, from Ancient Greek ἰσομετρία (isometría), from ἰσο- (iso-) + -μεFrom New Latin isometria, from Ancient Greek ἰσομετρία (isometría), from ἰσο- (iso-) + -μετρία (-metría), from ἴσος (ísos, “equal”) and μέτρον (métron, “measurement”) + -ια (-ia, “-y”). Equivalent to iso- + -metry.
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Forms
plural: isometries| Singular | isometry |
|---|---|
| Plural | isometries |
regular