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 ?
Suppose that [V.sub.0] is an isometry from [S.sub.1](E) into [S.sub.1](F).
Results showed that relative growth in shell height (b = 0.995, [r.sup.2] = 0.968, P< 0.001) and width (b = 0.946, [r.sup.2] = 0.968, P < 0.001) remained constant as the animal grew (isometry).
SSD was calculated for each population as the ratio between the arithmetic mean of each measured character of females, and the corresponding mean of males (Smith 1999), in order to visualize directly deviations from 1 (i.e., from isometry).
Isometry testing for anterior cruciate ligament reconstruction revisited.
Later, we relaxed the constraint of isometry on these maps ([4]) and In this paper, we characterize W-maps in terms of ideals.
(1) The bisecting technique originated from the application of the rule of isometry. This is a geometry theorem stating that" (2) triangles having equal angles and a common side are equal triangles." (1) This theorem was first suggested by A.
All the previous considerations apply, in particular it is still true that h [right arrow] [h.sup.[sigma]] is an involutive isometry from [H.sup.2.sub.R] onto [H.sup.2.sub.0,R].
They show methods for representing numbers using graphical elements, segments, plane figures, volumes of objects, using isometry and similarity, overlaying tiles, geometric dissections, colors, and 3D.
Novelty is also revealed by comparing isometry in the series and shuffled copies.
This article reports on a study aiming to design learning systems in which students' knowledge of reflection is brought closer to institutional knowledge of this isometry and to compare how their activities shape and are shaped by different forms of mediation.
Data showed that larger species of ducks have larger wings than expected from isometry: linear regression of wing area on body mass produces a slope of 0.837 [R.sup.2] = 0.994 (isometric slope = 0.670).
We believe that the activity has helped our students have a firm grasp of isometry principles as they move into more formal mathematics that requires them to grapple with transformations in the plane using algebraic notation.