查询词典 commutativity

We obtain the necessary and sufficient conditions for the commutativity of k~-order slant Toeplitz operators and the compactness of products of such operators, in particular, the commutativity and the essential commutativity of such operators are in accord.

第二章研究了L~2上的k阶斜Toeplitz算子的性质、得到了两个k阶斜Toeplitz算子可交换的充要条件及其乘积和换位子是紧算子的充要条件，特别地，给出了两个k阶斜Toeplitz算子的交换性与本性交换性是一致的。

Commutativity : Addition of integers also has a property called commutativity.

交换：增加整数也有所谓的财产交换。

In the 20th century, the emphasis in mathematics has shifted from local to global considerations, from lower dimensions to higher dimensions, from commutativity to non-commutativity,and from linearity to non-linearity.

20世纪数学的重点从局部转移到整体，从低维转移到高维，从交换转移到非交换，以及从线性转移到非线性。

The semi-simple ring and semi-prime ring. Using properties of zero-divisors, regular elements and diaphysis elements , we obtain some results on the commutativity of Kthe semi-simple ring and semi-prime ring as follows:Let R be aKO|..

the半单纯环、半质环以及任意环的研究，利用零因子、正则元及骨干元的性质以及稠密性定理等相关知识，得到了关于Ko|。。

More complex laws such as commutativity and associativity must be incorporated .

更加复杂的规律如交换性和结合性的合并。

There is no convergence trouble here, but there may be commutativity trouble .

这里没有收敛性的麻烦，但可能有交换性的麻烦。

Commuta-tivity is one of important properties on rings. Study of commutativity is beneficial to discussion of other properties on rings.

同时，交换代数本质上是研究交换环的，这就使得环的交换性的研究变得很重要。

The so-called " natural " arithmetical operations retain commutativity at the expense of continuity.

所谓的"自然"算术运算以损失连续性的代价保持了交换律。

There are ways of handling problematic situations, such as rules for commutativity, e.g. by ordered rewriting, but we would like to take this opportunity to consider an alternative general approach to equality handling.

有处理，如交换律规则，有问题的情况，例如如何在命令重写，但我们想借此机会考虑另一种平等的一般方法处理。

This thesis is mainly about to discuss the commutativity and the algebra properties of dual Toeplitz operators, and to prove the boundedness and compactness of products of Hankel operators in the several complex variables.

本文主要研究的是多变量的对偶Toeplitz算子的交换性和代数性质，以及Hankel算子乘积的有界性和紧性。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。