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     

现场获取声压－残余声强指数的方法

本文讨论了在现场获取声压－残余声强指数的技术，用实验验证了该技术具有予期的工程精度．     

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.     

QSTEM技术中晶面指数的模糊逼近

本文阐述了 QSTEM 技术中获得的晶面夹角值与晶面指数之间的位相关系,提出了测量值与理论值的隶属度,建立了测量值与晶面指数之间的模糊关系——矩阵 A,通过两个例子,说明了模糊逼近的具体方法以及参数 T、m 和算子 H 等的具体意义。     

同步时钟系统在山西电力系统的综合应用

论证了电力系统建设时间同步网的必要性,提出网同步才是真正的同步,并结合山西电力已建的数字同步网及数据通信网,提出了利用山西电网已建的同步时钟系统实现全省各变电站时间同步的初步解决方案。     

千兆以太网在高速公路综合业务数字网的应用

文章通过介绍、分析现有高速公路通信综合业务数字网以及基于SDH的千兆以太网的网络结构及特点，提出基于SDH的千兆以太网在高速公路通信系统中的应用。     

"非典"时期湖南民众社会心理特征的调查研究

通过问卷调查，首先对湖南民众在非典时期的社会心理状况进行描述分析，随后对不同年龄、化程度、职业类型的民众的社会心理特征进行了比较研究，并在此基础上为战胜非典的舆论导向和领导决策提供了相应的心理学依据和对策。     

低沸点烷烃Kovats指数的拓扑结构研究

本文应用拓扑指数法研究烷烃化合物的色谱保留指数，并通过多元回归分析得到了烷烃的拓扑结构与色谱保留指数的良好的相关性，当测得某一有机物的保留指数时便可估计其结构特征，从而为烷烃化合物的色谱定性分析提供了可靠的信息。