可交换的

Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.

首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件，同时给出了0，1区间上的有界函数的Mellin变换为有理函数的充要条件。

Let A" denote the commutant of a bounded linear operator S on H and R denote the collection of all operators in A" which are compact and upper triangular operators with diagonal sequence being zeros. In this paper, we show that if A"= CI + R, the K_0-group of A" is isomorphic to the integer group.

本文指出若H上的有界线性算子S的换位代数A′=CI+R，其中C是复数域，I是H上的单位算子，R是所有与S可交换的对角线为0的紧上三角有界线性算子的集合，则K_0A′

Besides, through the study of essentially bounded functions on the unit circle, we get the necessary and sufficient conditions for the essential commutativity of k~-order slant Toeplitz operators with special symbols.

在此基础上，通过对单位圆周T上本性有界函数性质的研究，给出了以特殊函数为符号的两个k阶斜Toeplitz算子本性可交换的充要条件。

Chapter 3, in the above system, gives out the definitions of topological new transitivity, topological transitivity, topological strong transitivity and topological conjugate of a sequence of maps, studies basic properties of the above topological conjugate, and obtains some main results, proves topological new transitivity and topological transitivity are equivalent u-under a compact metric space, a sequence of full maps and interchangeable with each other, and that some conclusions associated with topological conjugate.

第三章，在上述系统中给出了一列映射的拓扑新传递、拓扑传递、拓扑强传递和拓扑共轭的定义；研究了一列映射的拓扑共轭的基本性质，得到了一些主要结果；证明了在底空间是紧致度量空间、一列映射是满映射并且两两可交换的条件下拓扑新传递和拓扑传递是等价的；还证明了几个与拓扑共轭相关的结论。

In many applications, it is reasonable to expect exchangeability to model the datafrom the same cluster.

在很多应用中，我们可以合理的认为来自于同一个团的数据是可交换的。

This dissertation aims to propose some newstatistical methods for exchangeable binary data analysis.

本文的主要目的就是给出可交换的两值数据的统计分析的新方法。

Included are Broadband InterCarrier Interface, Interim Local Management Interface, LAN Emulation, network management, Private Network Node Interface, signaling, SMDS (Switched Multimegabit Data Service) and IP over ATM, traffic management, and a number of physical interfaces.

这些技术规范包括宽带载波间接口、临时的本地管理接口、局域网仿真、网络管理、专用网络节点接口、信令、可交换的多兆位数据服务SMDS以及ATM、业务量管理和大量物理接口中的因特网协议IP。

This method of deposition offers the possibility of entrapping a large and well-known amount of enzyme into the clay film.

阴离子粘土层板带正电荷，层间充填有平衡电荷的阴离子，层间通道中的阴离子是可交换的。

On the basis of the Zeolite catalyst which is fit to lignin methylolation had been synthesized. Its elemental composition formula is (1～5) M〓: Al〓O〓:(1～10) SiO〓:(0～10) H〓O (M represents an exchangeable cation, n represents the valance of cation), the pore diameter is among 3～13〓.

在此基础上合成出了适合木素羟甲基化反应的沸石催化剂，其化学组成通式为（1～5）M〓∶Al〓O〓∶（1～10）SiO〓∶（0～10）H〓O（M指一种可交换的阳离子，n为阳离子的价数），孔径在3～13〓间。

The last big question on Hollis's research agenda -- whether the cells will reset after having fired -- may not even matter in the group's latest vision for a handheld biosensor: a proposed optical-electronic box would read the photons emitted by a swappable and disposable biosensor chip, which would cost just a few dollars.

在霍利斯的研究日程表上，最后一个大问题在于细胞在发光后是否能够重新设定，按照研究小组最近对手动探测仪的设想，这个问题可能并不太重要：人们拟利用光电盒读取可交换的一次性生物探测芯片发出的光子，而光电盒只需要花费几美元。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失