# isometry

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Related to Isometries: Group of isometries

## 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

## 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
Translations
isometria
isométrie
איזומטריה
isometri

## isometry

[aɪˈsɒmɪtrɪ] n (Math) → isometria
References in periodicals archive ?
The rest address specific results with topics such as parametrizing distinguished varieties, superposition operators and the order and type of entire functions, smooth functions in star-invariant subspaces, conjugation and Clark operators, a class of conformal mappings with applications to function spaces, composition operators between Bergman spaces of several variables, isometries of some classical function spaces among the composition operators, new results on a classical operator, the classical Dirichlet space, comparisons of topologies on the space of composition operators, and Brennan's conjecture for weighted comparison operators.
Soardi: Rough isometries and Dirichlet finite harmonic functions on graphs, Proc.
Specific topics include Young-Fenchel transformation and some new characteristics of Banach spaces, an example of the boundary of topologically inverted elements, sums and products of bad functions, disc algebra and a moment problem, the stability of logmodularity for uniform algebras, regularity and amenability conditions for uniform algebras, closed suns of marginal subspaces of Banach function space, surjections on the algebras of continuous functions which preserve peripheral spectrum, asymptotics of Toeplitz determinants generated by functions with Fourier coefficients in weighted Orlicz sequence classes, spectral isometries, examples of Banach spaces that are not Banach algebras, and a spectra of algebras of analytic functions and polynomials on Banach space.
Along the way he covers the geometry of curves, surfaces, curvatures, constant mean curvature surfaces, geodesics, metrics, isometries, holonomy and the Gauss-Bonnet theorem, the calculations of variations and geometry, and higher dimensions, just for fun.
8]-the group of isometries of the Galilean space [G.
This textbook defines and analyzes important classes of transformations of the plane, specifically isometries and similarities, and integrates transformations with the traditional geometry of lines, triangles, and circles.
1] is adequate enough to implement the action of SO(5) via isometries (rotations) on the internal symmetry space [S.
These three isometries form the commutative diagram in Figure 3.
Among specific topics are the structure of Hopf algebras, the growth of finitely generated solvable groups, uni-modular groups over number fields, isometries of inner product spaces, and symmetric inner product spaces over a Dedekind domain.
It is, however, invariant under the isometries of flat spacetime that we use to generate global conservation laws.
Contract award: scanning isometries primary cooling br2.
Demonstrate an understanding of the basic properties of isometries in two--and three-dimensional space (e.

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