isometry

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i·som·e·try

(ī-sŏm′ĭ-trē)
n.
1. Equality of measure.
2. Equality of elevation above sea level.
3. Mathematics A function between metric spaces which preserves distances, such as a rotation or translation in a plane.
4. Biology A proportional change in the size of a part or parts of an organism as the organism grows.

isometry

(aɪˈsɒmɪtrɪ)
n
1. (Mathematics) maths rigid motion of a plane or space such that the distance between any two points before and after this motion is unaltered
2. (Physical Geography) equality of height above sea level
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

i•som•e•try

(aɪˈsɒm ɪ tri)

n.
1. equality of measure.
2. equality with respect to height above sea level.
[1940–45; iso- + -metry]

isometry

equality of measure. — isometric, isometrical, adj.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 isometry - the growth rates in different parts of a growing organism are the samegrowing, growth, ontogenesis, ontogeny, maturation, development - (biology) the process of an individual organism growing organically; a purely biological unfolding of events involved in an organism changing gradually from a simple to a more complex level; "he proposed an indicator of osseous development in children"growth rate, rate of growth - the rate of increase in size per unit time 2 isometry - 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"function, mapping, mathematical function, single-valued function, map - (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) 3 isometry - equality of elevation above sea levelelevation - distance of something above a reference point (such as sea level); "there was snow at the higher elevations" 4 isometry - equality of measure (e.g., equality of height above sea level or equality of loudness etc.)equality - the quality of being the same in quantity or measure or value or status
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
isometria
isométrie
איזומטריה
isometri

isometry

[aɪˈsɒmɪtrɪ] n (Math) → isometria
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
In summary, the unitary operator U = [U.sub.3] [U.sub.2][U.sub.1] provides an isometric isomorphism from the space [mathematical expression not reproducible] into the space [L.sub.2](R,dx) [cross product] [L.sub.2](R,dy), under which the k poly-Fock space [F.sup.2.sub.k] is mapped into [L.sub.2](R) [cross product] [H.sup.[cross product].sub.k] .
The generalized Fourier-Bessel transform [F.sub.B] extends uniquely to an isometric isomorphism from [L.sup.2.sub.[alpha],n] onto [L.sup.2]([0, +[infinity][, [[mu].sub.[alpha]+2n]).
(ii) The generalized Fourier transform [F.sub.[alpha],n] extends uniquely to an isometric isomorphism from [L.sup.2]([0, [infinity][,[x.sup.2[alpha]+1]dx) onto [L.sup.2]([0, [infinity][,[m.sub.[alpha]+2n][[lambda].sup.2[alpha]+4n+1] d[lambda]).

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