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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.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
- Isometry is to metric spaces what isomorphism is to groups.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
equality of measure (e.g., equality of height above sea level or equality of loudness etc.)
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: equality
equality of elevation above sea level
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: elevation
a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points
Definition source: Princeton WordNet 3.0
Examples
- the isometries of the cube
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: function, mathematical function, single-valued function, map, mapping
the growth rates in different parts of a growing organism are the same
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: growth rate, rate of growth
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.
Across languages
Translations
12 source translations are retained for this English entry.
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Catalan:
isometria
— A function
-
Dutch:
isometrie
— A function
-
Finnish:
isometria
— A function
-
French:
isométrie
— A function
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German:
Isometrie
— A function
-
Hebrew:
איזומטריה
(izométria)
— A function
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Hungarian:
egybevágósági transzformáció
— A function
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Italian:
isometria
— A function
-
Latin:
isometria
— A function
-
Portuguese:
isometria
— A function
-
Spanish:
isometría
— A function
-
Swedish:
isometri
— A function