Cyclic cohomology and algebra extensions

We construct a spectral sequence to study cyclic cohomology for an extension A = R/I of algebras. When R is a free algebra we describe the cyclic cohomology of A in terms of traces defined on R or powers of I. Explicit cyclic cocycles representing the cyclic cohomology class belonging to the trace are constructed as analogues of Chern character and Chern-Simons forms.Dedicated to Alexander Grothendieck     

Generalized indices of operators inB(H)

A generalized dimension is further developed. Here subtraction and addition of two generalized dimensions are defined, so that the operations: ∞ ± n = ∞, ∞ + ∞ = ∞, which used to play an inflexible role, are refined and moreover, ∞ - ∞, which used to be meaningless, is done in sense. Then generalized index for semi-Fred-holm operators is developed to wholeB(H), i.e. all of bounded linear operators in Hilbert spaceH. Theorem 2.2 is proved with an example, which is in contradiction to a known proposition for semi-Fredholm operators in form, practically a refined result of the known proposition. Then, it is proved thatB(H) is the union of countably many disjoint arewise connected sets over all the generalized dimensions ofB(H). Project supported by the National Natural Science Foundation of China     

Corrections of proofs for Hansen and Mélot's two theorems

The Randi? index R(G) of a (chemical) graph G is also called connectivity index. Hansen and Mélot [Variable neighborhood search for extremal graphs 6: analyzing bounds for the connectivity index, J. Chem. Inf. Comput. Sci. 43 (2003) 1-14] in their paper, characterized the chemical trees of given order and number of pendent vertices which have the minimum and maximum Randi? index, respectively. In this note, we point out the mistakes in the proofs of their results Theorems 8 and 10, while we still believe that the two theorems are true, and then we give their corrected proofs.     

自聚焦棒耦合性能的分析

本文采用光线光学的原理分析了自聚焦棒（ＧＲＩＮ）的光学性能，在折射率分布为抛物线近似的条件下，推导出较为简单的ＧＲＩＮ中的光线轨迹方程，并实验测量了ＧＲＩＮ的耦合效率，从而由理论和实验两方面讨论ＧＲＩＮ的聚焦特性。     

The minimum squared euclidean distance of multi-h phase codes

The minimum squared Euclidean distance(MSED) of binary multi-h phase codes is presented. The signal segregation degree(SSD) has been put forward to determine MSED of multi-h phase codes. In order to maximize MSED, SSD should be as large as possible. The necessary and sufficient conditions of maximizing SSD are derived. Finally, SSD and the exact formulae for MSED of binary 2-h phase codes are also presented.     

梯度折射率棒中传播的高斯光束轨迹解析解及其存在条件的讨论

本文提出光束轨迹方程的一般解，导出解析解的存在条件，推广了文献［１］的光线传播理论，文中以一特定梯度折射率棒为例，讨论了高斯光束在棒中的传播特性。     

UL简介与CCL认可

本文从六个方面对UL的基本知识作了一个简要的概述及CCL认可过程的介绍,希望能为业界同仁提供一个参考方向。     

激光探针监测半导体器件内自由载流子浓度调制效应

介绍了基于自由载流子对介质折射率调制作用,而建立的监测半导体器件内自由载流子变化情况的实验装置,该装置能实时反映自由载流子变化情况,且对原电路无任何影响。本方法适用于硅和砷化镓材料的电子和光电子器件,也显示了在测量集成电路内部有源器件特性方面的潜在应用前景。     

分布式协作工作流技术研究

工作流是实现企业业务过程建模、优化、管理、集成和自动化的核心技术．作为分布式的应用平台，工作流管理系统任务处理能力即吞吐能力是一个重要的性能指标．目前，已有的工作流管理系统在这方面存在较大的不足，成为工作流管理系统广泛应用的严重障碍．本文研究了工作流系统的协作方式和负载平衡技术，定义了工作流系统的负载因子，给出了一个分布式协作工作流系统模型，并结合业务流程逻辑，提出了分布式协作工作流系统负载平衡调度算法．实验表明该分布式协作工作流系统有效地扩展了单个工作流系统的吞吐能力。