基本解释：等距同构
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This paper establishes the connection between the two kinds of isometric isomorphism.概率度量空间理论中有两种等距同构 ,一种是一个概率度量空间等距同构于另一个概率度量空间· 另一种是一个概率度量空间等距同于一个准度量族生成空间· 该文建立了这两种等距同构之间的联系
Moreover, some properties of the representation m when T is an isometric isomorphism are discussed.进而研究了当Ｔ是等距同构时，集函数表示ｍ的一些性质。
We construct a pair of disjoint non isometric isospectral fractal drums in R 3, in which the boundaries have the same Minkowski dimension.在 R3中构造了一对等谱非等距同构分形鼓 。
In this paper, we prove that the isometrically algebraic isomorphism between two subalgebras of AF algebras with property of double commutant can be extended to an * isomorphism between their enveloping C* algebras.本文证明了具有二次交换子性质的ＡＦ代数中的子代数间的等距代数同构可以扩张成其包络Ｃ＊代数的＊同构。
Some results on the isometries and equivalences of quantum codes are pre- sented,one of which generalizes one of the results of Bogart et al.研究了量子纠错码的等价性和保距同构,推广了Bogart等人的一些概念,并给出若干基本定理,这些定理对进一步研究量子码的等价性和保距同构是非常有用的。
