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

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 ?
The allometry pattern for each parameter was established by testing the slope (b) of the regression equations against isometry ([H.
For simplicity assume additionally that A is an isometry, and that [[phi].
The anatomy and isometry of the medial patellofemoral ligament: implications for reconstruction.
We therefore study some related geometric properties of these polytopes such as their pairs of parallel facets, their common vertices with the permutahedron, and their isometry classes.
This condition of local symmetry is equivalent to the fact that at every point P [member of] M, the local geodesic symmetry F(P) is an isometry [21].
The null hypothesis of the isometry was supported if the 95% confidence intervals encompassed a slope of 1.
Among them are entanglement protection and generation under continuous monitoring, completely positive transformations of quantum operations, generating semigroups by degenerate elliptic operators arising in open quantum systems, the spectral gap of the n-photon absorption-emission process, white noise theory, computational complexity of a quantum algorithm for factoring, an isometry formula for a new stochastic integral, and complexities for Gaussian communication processes.
beta]], where TW is the total weight in grams, L is the length in millimeters (either ML or TL), [alpha] is the condition coefficient, and [beta] is the isometry coefficient.
1] is similar to an invertible isometry B (on an equivalent normed linear space) with [sigma](B) = 1 ([12], Theorem 2).
Let f be an isometry immersion of a Riemannian manifold [M.
Hasegawa and Yamauchi [8] have proved that 1) infinitesimal holomorphically projective transformation is infinitesimal isometry on a compact Kahlerian manifold with non-positive constant scalar curvature and 2) a compact Kahlerian manifold M with constant scalar curvature is holomorphically isometric to a complex projective space with the Fubini-Study metric if M admits a non-isometric infinitesimal holomorphically projective transformation.
Here, partial isometry means that [parallel]Ux[parallel] = [parallel]x[parallel] for all x [member of] ker [U.