中文翻译与英英解释

n.
1.度量相等。
2.【地质学；地理学】等高。

equality of measure (e.g., equality of height above sea level or equality of loudness etc.)

equality of elevation above sea level

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"

the growth rates in different parts of a growing organism are the same

In mathematics, an isometry is a distance-preserving map between metric spaces. Given a metric space, or a set and scheme for assigning distances between elements of the set, an isometry is a transformation which maps elements to another metric space such that the the distance between the elements in the new metric space is equal to the distance between the elements in the original metric space.

例句与用法

Every contraction can be extended to a partial isometry .
每一压缩算子能被扩张成一个部分等距算子。

On isometries between unit spheres of abstract m spaces
空间的单位球面之间的等距

On linear extension of isometries between the unit spheres
单位球面间等距映射的线性延拓

Extension of isometries between unit sphere
单位球面上的等距算子的延拓

On extension of isometries between the unit spheres
型空间的单位球面间满等距映射的表现定理及等距延拓

Isometries between the unit spheres of l1 - sum of strictly convex normed spaces
和的单位球面之间的等距

Extension of isometries and , , 2 - isometries on the unit spheres of - normed spaces
单位球面间的等距延拓

Discreteness criteria for subgroups of isometry group of pinched hadamard manifold
流形上等距子群的离散准则

On linear extension of isometries between the unit spheres of - normed spaces
范空间中单位球面间的等距算子的线性延拓

This method provides a way to investigate the onto isometries of other space of operators or operators algebras
此法为以后研究其他算子空间或算子代数的等距离提供了一条新的途径。