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isometry - 5 dictionary results

i⋅som⋅e⋅try

[ahy-som-i-tree]
–noun
1. equality of measure.
2. Biology. equal growth rates in two parts of a developing organism.
3. Geography. equality with respect to height above sea level.
4. Mathematics. a function from one metric space onto a second metric space having the property that the distance between two points in the first space is equal to the distance between the image points in the second space.

Origin:
1940–45; < Gk isometría. See iso-, -metry
i·som·e·try     (ī-sŏm'ĭ-trē)  Pronunciation Key 
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

noun
1. the growth rates in different parts of a growing organism are the same 
2. 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" 
3. equality of elevation above sea level 
4. equality of measure (e.g., equality of height above sea level or equality of loudness etc.) 

isometry   (ī-sŏm'ĭ-trē)  Pronunciation Key 
  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 mathematics
A mapping of a metric space onto another or onto itself so that the distance between any two points in the original space is the same as the distance between their images in the second space. For example, any combination of rotation and translation is an isometry of the plane.
(1997-12-13)

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