isometry
isometry
English
Noun
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Definition
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.
Etymology
From 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.
Example Sentences
- "Isometry is to metric spaces what isomorphism is to groups."
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