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.
See also: Measurement
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.isometry - the growth rates in different parts of a growing organism are the same
growing, 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 level
elevation - 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 ?
It studies reassembly through the concepts of cross-sectional algebras and amenability and presents applications to the study of C*-algebras, particularly those generated by semigroups of isometries and graph C*-algebras.
In this talk I shall present some relations between tiling polygonal outer billiards and the Fuchsian Groups which are discrete subgroups of isometries of the hyperbolic plane.
Among different spacetime symmetries isometries or the Killing vectors (KVs) have the importance that they help in understanding the geometric properties of spaces also corresponding to each isometries there is some conserved quantity.
By introducing the notion of metricoid spaces, a generalization of Mazur-Ulam theorem for isometries between metricoid spaces was given in [7].
It becomes useful in the following to have the Jacobian matrices associated to the coordinate transformations of the de Sitter isometries.
The symmetry group of a tiling T is the set of all isometries [phi]: X [right arrow] X such that [phi](T) = T.
In order to determine a substitution rule fully, we must specify which of these isometries to use for each tile in each patch.
This property would imply that the Universe admits a six-parameter group of isometries whose surfaces of transitivity are spacelike three-surfaces of constant curvatures.
Contract award: scanning isometries primary cooling br2.
His topics include invariant connections on reductive homogeneous spaces, finite order isometries and twistor spaces, vertically harmonic maps and harmonic sections of submersions, generalized harmonic maps, and generalized harmonic maps into f-manifolds and into reductive homogeneous spaces.
Rosenthal, On isometries of normed linear spaces, Studia Mathe matica, 35(1970), 213-216.