Definition of Isometry

1. Noun. The growth rates in different parts of a growing organism are the same.

Category relationships: Development, Growing, Growth, Maturation, Ontogenesis, Ontogeny
Generic synonyms: Growth Rate, Rate Of Growth



2. Noun. A one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points. "The isometries of the cube"

3. Noun. Equality of elevation above sea level.
Generic synonyms: Elevation
Derivative terms: Isometric

4. Noun. Equality of measure (e.g., equality of height above sea level or equality of loudness etc.).
Generic synonyms: Equality
Derivative terms: Isometric, Isometrical

Definition of Isometry

1. Noun. (mathematics) 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 pre-images. ¹

¹ Source: wiktionary.com

Definition of Isometry

1. equality of measure [n -TRIES]

Isometry Pictures

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Lexicographical Neighbors of Isometry

isometric period of cardiac cycle
isometric perspective
isometric relaxation
isometric relaxation period
isometric ruler
isometric space
isometric spaces
isometric tension
isometric traction
isometrical
isometrically
isometrics
isometries
isometropia
isometropias
isometry (current term)
isomonodromic
isomonodromy
isomorph
isomorphic
isomorphic response
isomorphically
isomorphism
isomorphisms
isomorphous
isomorphous gliosis
isomorphs
isomorphy
isonandra
isonaphthol

Literary usage of Isometry

Below you will find example usage of this term as found in modern and/or classical literature:

1. Topics in the Mathematics of Quantum Mechanics by Robert Hermann (1973)
"A transformation A:H •* H is said to be an isometry of the Hilbert space structure ... A is said to be an anti-isometry if it is anti-linear and if for *n ..."

2. Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (2000)
"Observe that an isometry is just a homeomorphism that preserves distance. ... You may wish to show how, for example, we can construct an isometry between TI ..."

3. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"Then h is an isometry of X onto a subspace of X. (c) Dense: Let xGX, and let {xn} G x. ... We extend goh~l to an isometry / between X and Y. Let xGX, ..."

4. Topics in the Mathematics of Quantum Mechanics by Robert Hermann (1973)
"A transformation A:H •* H is said to be an isometry of the Hilbert space structure ... A is said to be an anti-isometry if it is anti-linear and if for *n ..."

5. Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (2000)
"Observe that an isometry is just a homeomorphism that preserves distance. ... You may wish to show how, for example, we can construct an isometry between TI ..."

6. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"Then h is an isometry of X onto a subspace of X. (c) Dense: Let xGX, and let {xn} G x. ... We extend goh~l to an isometry / between X and Y. Let xGX, ..."

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