# isometry

(redirected from Isometries)
Also found in: Thesaurus, Medical, Encyclopedia.
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
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 ?
Recall that isometries cannot be supercyclic on Banach spaces [1, 22].
For isometries it is possible to say more 10, Theorem 2.2].
Denoting the space of linear isometries from [R.sup.k+1] to [R.sup.k+r] by Iso([R.sup.k+1], [R.sup.k+r]) and viewing it as a [GAMMA]-space via the action on [R.sup.k+1], this is equivalent to the existence of an equivariant continuous map
In particular, for [a.sub.12] = [a.sub.23] = 1, (1) defines the group [B.sub.6] [subset] [H.sub.8] of isometries of Galilean space [G.sub.3].
Any A-conection D is metrizable with respect to g if and only if all its parallel displacements are isometries with respect to g.
The volume covers basic construction; projections and partial isometries; normalisers, orthogonality, and distances; the Pukanszky invariant; perturbations; single MASAs; existence of special MASAs; irreducible hyperinfinite subfactors; maximal injective subalgebras; MASAs in non-separable factors; and singly generated algebras.
In a chapter on "Employing isometry", (isometries in the plane being linear transformations that preserve distances, such as reflection, rotation and translations (p.
However, the Shilov boundary of [D.sub.5] given by [Q.sub.5] = [S.sup.4] x [RP.sup.1] is adequate enough to implement the action of SO(5) via isometries (rotations) on the internal symmetry space [S.sup.4] = SO(5)/ SO(4).
In this short communication we study supergravity solutions preserving a nonminimal fraction of supersymmetries by determining the existence of additional non-space-like isometries in the class of higher-dimensional Kundt space-time admitting a covariantly constant null vector field (CCNV) [6, 7].
Among the highlights are spectral, structural, and geometric properties of special types of operators on Banach spaces, emphasizing isometries, weighted composition operators, and projections on function spaces.
On B, there is at most one Borel regular probability measure which is invariant under the isometries of X which fix [x.sub.0]; indeed, such a measure [mathematical expression not reproducible] must satisfy

Site: Follow: Share:
Open / Close