Word info Synonyms

isometry

Noun

Meaning

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

Source: WordNet

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Examples

the isometries of the cube Source: Internet

A surjective isometry between the normed vector spaces V and W is called an isometric isomorphism, and V and W are called isometrically isomorphic. Source: Internet

An object without any symmetry has as symmetry group the trivial group only containing this isometry (symmetry type C 1 ). Source: Internet

If we further consider both spaces with the sup norm the extension map becomes an isometry. Source: Internet

Isometries The map f:M 1 →M 2 is an isometry if : Isometries are always injective ; the image of a compact or complete set under an isometry is compact or complete, respectively. Source: Internet

The 2-4 tree isometry was described in 1978 by Sedgewick. Source: Internet

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