交换子

In Chapter 3,we investigate the boundedness results for some higher order commu-tators on MK_~.

第三章给出了高阶交换子在MK_~上的有界性结果。

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。

Let G be semisimple matrix group with Lie algebra g, T a fixed maximal abelian subalgebra of g, T the orthogonal complement of T with respect to the Killing form of g, and a, b 6 T a fixed regular elements.

设G为半单矩阵群，g为其Lie代数，T(来源：ABC论文91网www.abclunwen.com)为g的极大交换子代数，T~⊥为T关于g的Killing型的正交补，a，b∈T为固定正则元。

In the last chapter, on the basis of theories in paper [4, 5], the notions of strong mixing, weak mixing, generator and expansion of the variable-parametric dynamical system are introduced, it turns out that in variable-parametric dynamical system strong mixing implies weak mixing and then implies transitivity; it is proved that if and both are variable-parametric dynamical system, F conjugates with G , the members of F are communicate with each other and the members of G are also communicate with each other, what's more, they are both homeomorphism, then F is strong mixing implies G has the same properties; futhermore, we prove that F is strong mixing implies F Devaney chaos in the sense of modification in variable-parametric dynamical system and that F Devaney chaos in the sense of modification if and only if G Devaney chaos in the sense of modification when semi-conjugate with and they both are communicate and homeomorphism; at last, we illustrate that F has generator if and only if it has weak generator, and we also prove that if F is expansion, then F has generator.

在第三章中，我们在文[4，5]的基础上，提出了变参数动力系统拓扑强混合、拓扑弱混合以及变参数动力系统的生成子、扩张的概念；证明了变参数动力系统拓扑强混合蕴含拓扑弱混合，进而蕴含拓扑传递；证明了：如果，为两个变参数动力系统，F与G拓扑半共轭，且F两两可交换，G两两可交换，它们均为同胚映射，那么F拓扑强混合，则G也有同样的性质；本章还证明了变参数动力系统拓扑强混合蕴含F在修改的意义下Devaney混沌；在此基础上得出了：如果变参数动力系统与变参数动力系统拓扑半共轭，它们都两两可交换，并且它们均为同胚映射，那么F在修改的意义下Devaney混沌当且仅当G在修改的意义下Devaney混沌；得出了F有生成子当且仅当F有弱生成子；如果F是扩张的，则F有生成子。

In Chapter 4,we obtain the boundedness on the homogeneous Morrey-Herz spaces for the fractional maximal multilinear commutators M_

第四章得到了分数次极大多线性交换子M_

In the chiral SU(3) quark model, we use the coupling between quarks and nonet scalar meson fields and nonet pseudo-scalar meson fields to describe the medium and long range interactions, and use one gluon exchange to describe the short range interaction. In the extended chiral SU(3) quark model, besides the nonet pseudo-scalar meson fields and the nonet scalar meson fields, the coupling between vector meson fields and quarks is also considered, the short range interaction can be dominately described by vector meson exchange. We investigate the nucleon-hyperon interaction in the extended chiral SU(3) quark model and study the S-wave phase shifts of N-Λ and N-Σ systems. Comparing to the results in chiral SU(3) quark model, we find that the short-range interaction could be described either by the one-gluon exchange or vector meson exchange.

在手征SU(3)夸克模型中，用夸克与标量介子九重态和赝标介子九重态场的耦合来描述中长程相互作用，单胶子交换来描述短程相互作用，推广的手征SU(3)夸克模型是在原来手征SU(3)夸克模型的基础上进一步引入了夸克和矢量介子九重态场的耦合，主要由矢量介子交换来描述短程相互作用，在推广手征SU(3)夸克模型下研究了核子－超子相互作用过程，计算了N-Λ和N-Σ相互作用的S波散射相移，通过和手征SU(3)夸克模型的结果比较，发现N-Λ和N-Σ系统的短程相互作用既可以由单胶子交换来描述，也可以由矢量介子交换来描述。

If two parties want to sign a contract C over a communication network, they must "simultaneously" exchange their commitments to C Since simultaneous exchange is usually impossible in practice, protocols are needed to approximate simultaneity by exchange partial commitments in a piece by piece manner The party of secondly sending commitments may have a slight advantage; a "fair" protocol must keep this advantage within acceptable limits The protocol for signing a contract is improved based on the research result of secure multiparty computation In this protocol, the parties obliviously transfer the signed bit and the committed bit; the other parties can prove the validity of this bit based on the confirming sub protocol, but he cant gain more information about the whole signature by accumulating the signed bit or the committed bit After the parties exchange the whole signed information, they declare the commitment about the signature respectively, and gain the whole signature of the other party At this moment, the party doesnt care about the advance quit of the other party, because he has gained the whole signed information Finally, it is proved that this protocol is quit fairness

在网络环境中解决合同签订问题需要保证信息交换的同时性，以前提出的协议都会给第 2个发送者部分计算特权，利用不经意传输协议则可以解决这个问题在协议执行过程中，参与者将合同的签名位以及他对签名位的承诺不经意传输给对方，对方可以利用验证子协议证明该位的有效性，但是他却不能通过位交换次数的增加获取更多的完整签名的信息；在完成签名位的交换之后，参与者分别宣布承诺，并得到对方对合同的完整签名；在宣布承诺时，协议参与者已经获得全部的签名内容，要么是签名位，要么是对方对该位的承诺，因此参与者并不需要担心对方提前终止协议在文章的最后利用多方安全计算的结论证明了该协议满足终止公平性1 引言两个参与者A和B想要通过网络协商签订合同C 为了保证公平性，参与者必须同时交换自己对合同的签名，然而在实际的网络环境中，想要完全同时地交换对合同的签名是不可能的，他们必须将签名分成若干块依次地执行，以保证大致的同时性但是这种方法依然存在着问题

The influences of derivations and adjoint ideal semigroups of prime ring with characteristic 2 on the prime ring are discussed, and several sufficient conditions for the prime ring being communitive ring or S4-ring and some necessary conditions for a class of prime rings being communitive rings are obtained.

先给出了一个利用导子和理想来判断素环的可交换性结论的证明，然后讨论了特征为2的素环的导子和归联理想半群对这个素环的影响，得到了素环成为交换环或者S4-环的几个充分条件及一类素环成为交换环的必要条件。

I present cluster schema for combinatorial problem with clustering, design a new crossover operator cluster crossover, study the survival probability of c-schema under c-crossover, apply it successfully to graph coloring, load balancing and maximum spanning tree problems: give measurements of diversity in GA, set up varying crossover probability algorithms to maintain diversity, obtain good results when apply it in avoiding premature convergence and multi-modal functions optimization; establish GAC to be suitable for non stationary function, it can explore the change of environment and find the best solution even for some"anomalous"function.

针对聚类组合优化问题提出了聚类模式，设计了一种新的交换操作：聚类交换并研究了聚类模式在聚类交换操作下的生存可能性，成功的将聚类交换思想和算子应用于图着色、负载平衡和最大生成树问题，佐证了类理论，表明类理论可以指导新的应用算法设计；给出了GA中多样性的度量标准和维护多样性的动态交换概率算法，用于避免过早收敛和多峰函数优化，取得了较好的结果；构造了维持种群多样性以适应动态环境的方法GAC，在某些现有方法无能为力的问题上，GAC能够探测到环境变化，找到当前最优解。

The central problem is whether thecommutatoris self-adjoint or not since every observable in quantum mechanics isrepresented by a self-adjoint operator.

对于该不等式的一个中心问题是：交换子i不是自共轭的，也就是说，不是量子力学中的一个观测量。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。