应用马尔科夫状态转移链的作战航空综合体效能评估

文章阐述了作战航空综合体的相关概念及组成,应用马尔科夫状态转移链建立了作战航空综合体完成典型作战任务时的数学模型,确定了作战效能的评估指标,最后通过具体算例检验了模型的正确性和可行性.     

课本习题的价值在探索中升华--改造我们的数学教学方法

孤立地、片面地解决一个课本习题 ,在数学教学中毫无疑问是低效的教学方法 ,我们必须坚决反对 .相反 ,运用运动变化的观点、普遍联系的观点、辩证唯物的观点去分析、观察、探索一个数学问题 ,寻求课本习题的内在变化规律及习题之间的联系 ,是提高教学效率的一种有效途径 ,我们要坚决拥护 .题目不在做得多 ,开发其价值就行 .如何开发课本习题的价值 ?本文提供四种基本方法 :1 )多题一组 ,构造问题链 ;2 )一题多探 ,推而广之 ;3)一题多解 ,比较解法 ;4)一题多改 ,突而破之 .1　多题一组 ,编拟问题链 ,形成“合力” :加强题与题之间的横向联合…     

Anisotropy in Third-Order Nonlinear Optical Susceptibility of a Squarylium Dye in a Nematic Liquid Crystal

A squarylium dye is dissolved in 4-cyano-4＇-pentylbiphenyl （SCB） and oriented by sandwiching mixtures between two pieces of rubbed glass plates. The optical absorption spectra of the oriented squarylium dye-5CB layers exhibit high anisotropy. The third-order nonlinear optical responses and susceptibilities X^（3）e of squarylium dye in 5CB are measured with light polarizations parallel and perpendicular to the orientational direction by the resonant femtosecond degenerate four-wave mixing （DFWM） technique. Temporal profiles of the DFWM signal of the oriented squarylium dye-5CB layers with light polarizations parallel and perpendicular to the orientational direction are measured with a time resolution of 0.3ps （FWHM）, and are found to consist of two components, i.e., the coherent instantaneous nonlinear response and slow response due to the formation of excited molecules. A high anisotropic ratio of x^（3）e, 10.8 ：k 1.2, is observed for the oriented layers.     

次近邻相互作用对Heisenberg XX链纠缠影响的研究

研究了存在次近邻相互作用(耦合)时Heisenberg XX链的纠缠特性. 结果表明对近邻格点, 随着耦合常数J的变化, 次近邻相互作用的存在可能使其纠缠度增大或者减小; 而对次近邻格点, 引进次近邻相互作用却可以产生纠缠, 并且使其随着|J|的增大而增大. 近邻格点间纠缠存在的临界温度T_c随着J的增大而降低, 次近邻格点间纠缠存在的临界温度T_c随着|J|的增大而升高. 此外对纠缠W态的制备, 次近邻相互作用的存在还使得三量子位情形时W态产生的时刻改变, 而对于四量子位情形却没有影响.     

Effect of Molecular Weight on Liquid Crystal Photoalignment by Photosensitive Polyester Containing Thrifluoromethyl Moieties

We investigate the liquid-crystal （LC） alignment direction on photoalignment films formed from photosensitive polyester containing thrifluoromethyl moieties （PPDA） with various molecular weights by crossed polarized optical microscopy. It is found that LC alignment behaviour changes with molecular weight of PPDA. The LC alignment on PPDA irradiated films with the highest molecular weight is homogeneous, while those with low and intermediate molecular weights are homeotropic. However, surface morphologies show weak dependence on molecular weight. The surfaces are smooth and there is no clear morphological anisotropy on these aligned films observed by an atomic force microscope. The surface energies of the irradiated films are also measured by using an indirect contact-angle method where both surface energy and its polar component, increase with increasing molecular weight. Different polar surface energies can be considered as a main reason for different alignment characteristics.     

PPG侧链修饰聚酰亚胺的制备与表征

以可溶性聚酰亚胺为反应底物，经氯甲基化反应制得氯甲基化聚酰亚胺，再以氯甲基为活性反应中心，在聚酰亚胺侧链上接枝聚丙二醇单丁醚（PPG），从而得到PPG侧链修饰聚酰亚胺．所制备的产物结构经红外光谱和核磁共振氢谱得以证实．介电常数及吸附脱附测试结果表明：经过大体积侧链PPG修饰后，聚合物的介电常数明显降低，由3．147降低至2．976；比体积和比表面积增大．同时，所制得的聚合物具有优良的溶解性能，在微电子工业中易于加工应用．     

STRONG LAW OF LARGE NUMBERS AND ASYMPTOTIC EQUIPARTITION PROPERTY FOR NONSYMMETRIC MARKOV CHAIN FIELDS ON CAYLEY TREES

Some strong laws of large numbers for the frequcncies of occurrence of states and ordered couples of states for nonsymmetric Markov chain fields(NSMC)on Cayley trees are studied.In the proof,a new technique for the study of strong liinit theorems of Markov chains is extended to the case of Markov chain fields.The asymptotic equiparti- tion properties with almost everywhere(a.e.)convergence for NSMC on Cayley trees are obtained.     

Af型自由基均聚反应的固化理论（Ⅱ）：凝胶网络的结构参数

用高分子反应统计理论，给出Ａｆ型自由基均聚反应在不同反应程度时的弹性有效链及悬吊链的链数，链节数和平均链长，也得到了体系的有效交联点数和弹性模量，进而给出弹性有效链的数量和重量分数，以此可进一步揭示该反应体系凝胶网络的粘弹性及相关的力学性质。     

钯配合物催化的α-烯烃与一氧化碳对映选择性

乙烯与一氧化碳交替共聚合成的聚酮是一类新型的热塑性高分子材料, 具有良好的机械加工性能.