可用于光存储的氧化物、次氧化物薄膜材料的研究及发展

介绍了可用于可录、可擦除、全息光存储及超分辨掩膜层的氧化物、次氧化物薄膜材料的种类、制备方法、光存储特性和存储机制。这类薄膜材料由于具有种类多、应用范围广、制备方法多样、写入灵敏度高和记录稳定性好等优点 ,正受到各国研究者越来越多的关注。分析总结了这类材料的研究现状、存在的主要问题和未来发展方向     

连续测度扩张

本文给出了交封闭集类上定义的一般连续测度（可取值＋∞）可被扩张到包含这个集类的最小单调类上的充要条件和存在唯一扩张的条件，证明了在单调类上进一步扩张的存在性。     

A Result in Dual Ramsey Theory

We present a result which is obtained by combining a result of Carlson with the Finitary Dual Ramsey Theorem of Graham–Rothschild.     

The PRV-formula for tensor product decompositions and its applications

Let G be a semisimple algebraic group, V a simple finite-dimensional self-dual G-module, and W an arbitrary simple finite-dimensional G-module. Using the triple multiplicity formula due to Parthasarathy, Ranga Rao, and Varadarajan, we describe the multiplicities of W in the symmetric and exterior squares of V in terms of the action of a maximum-length element of the Weyl group on some subspace in V ^T , where T ? G is a maximal torus. By way of application, we consider the cases in which V is the adjoint, little adjoint, or, more generally, a small G-module. We also obtain a general upper bound for triple multiplicities in terms of Kostant’s partition function.     

On the Continuity of Julia Sets and Hausdorff Dimension of N CP and Parabolic Maps

Denote by HD(J(f))the Hansdorff dimension of the Julia set J(f)of a rational function f.Our first result asserts that if f is an NCP map,and f_n→f horocyclically, preserving sub-critical relations,then f_n is an NCP map for all n(?)0 and J(f_n)→J(f)in the Hausdorff topology.We also prove that if f is a parabolic map and f_n is an NCP map for all n(?)0 such that f_n→f horocyclically,then J(f_n)→J(f)in the Hansdorff topology, and HD(J(f_n))→HD(J(f)).     

Lower bounds and modified LPT algorithm for k-partitioning problems with partition matroid constraint

In this paper,the k-partitioning problem with partition matroid constraint is consid- ered.LPT algorithm is modified to fit the problem and its worst-case performance is analyzed. The lower bounds of optimal solution for the min-max problem are given.     

Completely Regular Designs of Strength One

We study a class of highly regular t-designs. These are the subsets of vertices of the Johnson graph which are completely regular in the sense of Delsarte [2]. In [9], Meyerowitz classified the completely regular designs having strength zero. In this paper, we determine the completely regular designs having strength one and minimum distance at least two. The approach taken here utilizes the incidence matrix of (t+1)-sets versus k-sets and is related to the representation theory of distance-regular graphs [1, 5].     

粗糙集理论在属性约简及知识分类中的应用

本针对不完备信息系统属性约简的两种定义，证明了两的等价性。在此基础上结合粗糙集理论提出了相似矩阵、相似区间的概念，并将其应用于不完备信息系统知识分类的问题中。     

Statistical Ensemble and Quantization of Thermodynamics

We derive the equations of quantized thermodynamics from the Gibbs ensemble and obtain a representation of the new equations which permits a formal passage to the Bardeen--Cooper--Schrieffer equations.     

Role of electronic partition function in quantitative SIMS using the Saha-Eggert equation

Methods of obtaining the electronic partition functionsZ were discussed with an intention to use them for the Saha-Eggert quantification in SIMS. The Lagrange's interpolation formula and the least-squares method were applied to the published values ofZ to obtain the expression for calculatingZ at arbitrary temperatures. With the aid of the Saha-Eggert equation, the secondary-ion currents from Ni-Cr and Fe-Ni-Cr alloys were converted into the elemental concentrations for the two types ofZ: those obtained with the above methods and those with the approximate fifthorder polynomials presented by de Galan and others. It was proved, from the comparison of the calculated concentrations, that the latter are valid for the quantification in SIMS using the Saha-Eggert equation. The largest error in the elemental concentrations was 22% for the Ni-Cr alloy and 7% for the Fe-Ni-Cr alloy.