# isometry

isometry
/uy som"i tree/, n.
1. equality of measure.
2. Biol. equal growth rates in two parts of a developing organism.
3. Geog. equality with respect to height above sea level.
4. Math. a function from one metric space onto a second metric space having the property that the distance between two points in the first space is equal to the distance between the image points in the second space.
[1940-45; < Gk isometría. See ISO-, -METRY]

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Universalium. 2010.

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• isometry — 1941, from Gk. isometria equality of measure, from iso (see ISO (Cf. iso )) + metria a measuring (see METRY (Cf. metry)) …   Etymology dictionary

• isometry — [ī säm′ə trē] n. [ ISO + METRY] 1. equality of measure 2. Geog. equality of height above sea level …   English World dictionary

• Isometry — For the mechanical engineering and architecture usage, see isometric projection. For isometry in differential geometry, see isometry (Riemannian geometry). In mathematics, an isometry is a distance preserving map between metric spaces. Geometric… …   Wikipedia

• Isometry group — In mathematics, the isometry group of a metric space is the set of all isometries from the metric space onto itself, with the function composition as group operation. Its identity element is the identity function.A single isometry group of a… …   Wikipedia

• Isometry (Riemannian geometry) — In the study of Riemannian geometry in mathematics, a local isometry from one (pseudo )Riemannian manifold to another is a map which pulls back the metric tensor on the second manifold to the metric tensor on the first. When such a map is also a… …   Wikipedia

• isometry — noun (plural tries) Date: 1881 a mapping of a metric space onto another or onto itself so that the distance between any two points in the original space is the same as the distance between their images in the second space < rotation and… …   New Collegiate Dictionary

• isometry — n. [Gr. isos, equal; metron, measure] Growth of two body parts remaining constant relative to each other as body size increases …   Dictionary of invertebrate zoology

• isometry — noun 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. See Also: isometric, isometer …   Wiktionary

• isometry — isom·e·try (i somґə tre) equality of dimension …   Medical dictionary

• isometry — isom·e·try …   English syllables