On local optima in multiobjective combinatorial optimization problems

In this article, local optimality in multiobjective combinatorial optimization is used as a baseline for the design and analysis of two iterative improvement algorithms. Both algorithms search in a neighborhood that is defined on a collection of sets of feasible solutions and their acceptance criterion is based on outperformance relations. Proofs of the soundness and completeness of these algorithms are given.     

A note on the acyclicity of the Koszul complex of a module

We prove the vanishing of the Koszul homology group H _μ(Kos(M)_μ), where μ is the minimal number of generators of M. We give a counterexample that the Koszul complex of a module is not always acyclic and show its relationship with the homology of commutative rings.     

Synthesis of double silylene-bridged binuclear titanium complexes and their use as catalysts for ethylene polymerization

Five new double silylene-bridged binuclear titanium complexes were synthesized by the reaction of RCpTiCl₃ and Li₂[μ,μ-(SiMe₂)₂ (C₅H₃)₂] in toluene. They were all well characterized. These complexes activated with methylaluminoxane (MAO) are highly active catalysts (2.33 × 10⁵ g PE/mol Cat h) for the polymerization of ethylene even at low Al/Ti (Al/Ti = 300). The molecular weight distribution of the polymer indicates broad or bimodal (MWD = 26.76) distribution.     

Investigation on the barrier height and inhomogeneity of nickel silicide Schottky

The apparent Schottky barrier height (SBH) of the nickel silicide Schottky contacts annealed at different temperatures was investigated based on temperature dependence of I-V characteristic. Thermionic emission-diffusion (TED) theory, single Gaussian and double Gaussian models were employed to fit I-V experimental data. It is found the single Gaussian and double Gaussian SB distribution model can give a very good fit to the I-V characteristic of apparent SBH for different annealing temperatures. Also, the apparent SBH and the leakage current increase with annealing temperatures under reverse voltage. In addition, the homogeneity of interfaces for the samples annealed at temperatures of 500 and 600 °C is much better than that of the samples annealed at temperatures of 400, 700, and 800 °C. This may result from the phase transformation of nickel silicide due to the different annealing temperatures and from the low Schottky barrier (SB) patches.     

Corrigendum to the paper ``Adjoining an Order Unit to a Matrix Ordered Space'

An error has been detected (and also corrected) in Theorem 2.8 of the paper entitled “Adjoining an Order Unit to a Matrix Ordered Space” (Positivity, (2005)9: 207–223; DOI ). Accordingly, some of the results of the paper have been modified. Also, a notion of C*-matricially, Riesz normed spaces has been introduced.     

醌蛋白——猪肾二胺氧化酶的提取和性质

新鲜猪肾匀浆后，经热处理、盐析、羟基磷灰石和ＤＥＡＥ－纤维素柱层析等纯化步骤，二胺氧化酶的收得率为２３．９％，纯化倍数为４２５．该酶进行凝胶电泳后，经氨基黑、酶活性和ＮＢＴ溶液染色分别得到相对应的蛋白质、酶活性及醌辅基谱带．该酶可与腐胺、尸胺、己二胺、组胺等底物作用，释放出Ｈ２Ｏ２，当底物为腐胺时，最适浓度为５ｍｍｏｌＬ－１，Ｋｍ值为０．５ｍｍｏｌＬ－１，最适ｐＨ为７．０，最适温度为４０°Ｃ．在非酶系统中，该酶可与ＮＢＴ溶液反应，呈现紫色，并随时间延长而加深．经ＳＤＳ板状不连续聚丙烯酰胺凝胶电泳，得该酶亚基分子量为８．３×１０４．     

LB膜中螺吡喃材料的光学性质研究

利用ＬＢ技术制备螺吡喃有序分子膜，研究了气液界面上螺吡喃材料在不同成份和不同ｐＨ值亚相时的成膜行为，着重研究了螺吡喃在ＬＢ膜这个特殊介质环境中不同于溶液的光致变色机理和光学性质     

频率受随机过程调制的体系中的光谱扩散

通过在Bloch方程中增加描述对频率微扰的随机过程项{ω(t)},我们讨论了系统在窄谱带的光激发后的光谱扩散。特别是以下两种情况:1)如果ω以相同的概率变化为系综中的任一ω’,光谱是一个指数式衰减的定域峰和指数式增长的动态非均匀背底的叠加。2)如果ω'到ω的概率仅与|ω’-ω|有关,非定域峰随时间变宽。作为一个例子,我们讨论了频率受多个独立随机电报过程调制的系统中的光谱扩散。