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isometry
(redirected from Isometries)

   Also found in: Encyclopedia, Wikipedia 0.01 sec.
i·som·e·try  (-sm-tr)
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.

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. (Earth Sciences / Physical Geography) equality of height above sea level

isometry  (-sm-tr)
1. Equality of measure.
2. Equality of elevation above sea level.
3. A function between two metric spaces (such as two coordinate systems) which preserves distances. A rotation or translation in a plane is an isometry, since the distances between two points on the plane remain the same after the rotation or translation.

isometry
equality of measure. — isometric, isometrical, adj.
See also: Measurement
ThesaurusLegend:  Synonyms Related Words Antonyms
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
isometry [aɪˈsɒmɪtrɪ] n (Math) → isometria


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Mankiewicz (30) studied the extension of isometries defined on an open connected subset, and he proved that an isometric mapping from an open connected subset of a normed space E onto an open connected subset of another normed space F can be extended to an affine isometry from E onto F.
We developed the notion of kinetic isometries, where the dancers tried to register an exterior and interior refraction of movement in their bodies, and proceed according to the 'reading' that they achieved of their own states.
00 Hardcover QA455 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.
 
 
 
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