isometry (redirected from Group of isometries)

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.

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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

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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.

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isometry

equality of measure. — isometric, isometrical, adj.

See also: Measurement

Thesaurus

Noun	1.	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