Lexic.us

Definition of Isometry

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

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.

4. Noun. Equality of measure (e.g., equality of height above sea level or equality of loudness etc.).

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]

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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