关于K个复相关矩阵相等的检验

§ 1.Ｉｎｔｒｏｄｕｃｔｉｏｎ　ＷｅａｒｅｇｉｖｅｎｋｉｎｄｅｐｅｎｄｅｎｔＷｉｓｈａｒｔｄｅｎｓｉｔｉｅｓｏｆｔｈｅ (ｐ +ｑ)× (ｐ +ｑ)ｒａｎｄｏｍｓｙｍｍｅｔｒｉｃｐｏｓｉｔｉｖｅｄｅｆｉｎｉｔｅｍａｔｒｉｃｅｓＧ1,… ,Ｇｋｔｏｂｅｇ(Ｇｉ) =Ｋｅｘｐ -12 ｔｒＲ- 1ｉ Ｇｉ Ｇｉ12 (ｎｉ- ｑ-ｐ- 1) ,(1 )ｗｈｅｒｅｉ=1 ,… ,ｋ,ａｎｄＲｉｄｅｎｏｔｅｓｔｈｅｐｏｐｕｌａｔｉｏｎｃｏｒｒｅｌａｔｉｏｎｍａｔｒｉｘｏｆｔｈｅｉ ｔｈｐｏｐｕｌａｔｉｏｎａｎｄＫａｓａｇｅｎｅｒｉｃｌｅｔｔｅｒｄｅｎｏｔｅ…     

Pure adaptive search for finite global optimization

Pure Adaptive Search is a stochastic algorithm which has been analyzed for continuous global optimization. When a uniform distribution is used in PAS, it has been shown to have complexity which is linear in dimension. We define strong and weak variations of PAS in the setting of finite global optimization and prove analogous results. In particular, for then-dimensional lattice {1,,k} ⁿ , the expected number of iterations to find the global optimum is linear inn. Many discrete combinatorial optimization problems, although having intractably large domains, have quite small ranges. The strong version of PAS for all problems, and the weak version of PAS for a limited class of problems, has complexity the order of the size of the range.The authors would like to thank the Department of Mathematics and Statistics at the University of Canterbury for support of this research.     

一种高透过率,深截止的UVc波段(200～280 nm) 有机材料的研究(Ⅰ)

本文阐述了一种专用有机材料(粉末)在不同酸性溶液中的光谱特征,研究表明,这种材料在λ=252 nm处,透过率T=56.5％,带宽约为16nm,而在λ=290nm处有一个很强的吸收峰(ε>10L·(mol·cm)~(-1)),吸光度A_(280～298nm)>8,即透过率T_(280～298nm)<10~(-8)。这种有机材料在UVc波段(200～280nm)具有高透过率,深截止的明显特点。实验中还发现,通过调节溶剂的pH值和选取不同极性的溶剂,原来的两个吸收峰消失,而在λ=290nm处出现一个新的强吸收峰,并且透过峰可以在251～260nm范围内移位。利用材料的这种特征,再配合传统的镀膜和色玻璃技术,有可能制备出性能优良的紫外滤光片。     

Polycyclic heteroaromatics from reactions of acylbenzotriazoles with aryl isocyanates

N-Acylbenzotriazoles react with aryl isocyanates to form, depending on the type of acyl group, compounds based on five different classes of polycyclic heteroaromatics. Higher alkanoyl-, acetyl-, acetoacetyl-, aroyl-, and cinnamoylbenzotriazoles yield, respectively, derivatives of quinoline, pyrimidino[5,4-c]quinoline, benzo[b]-1,8-naphthyridine, phenanthridine, and indolo[2, 3-b]quinoline by incorporating 3, 3, 4, 2, and 2 molecules, respectively, of the isocyanate per acylbenzotriazole molecule.     

Hexa(2-pyridyl)[3]radialene: self-assembly of a hexanuclear silver array

Reaction of the new ligand hexa(2-pyridyl)[3]radialene with silver tetrafluoroborate results in the formation of a M6L2 cage with an encapsulated mu 3-fluorido anion.     

稀土硅铁雾化制粉机理的高速摄影分析

本文应用高速摄影技术对稀土硅铁雾化制粉过程进行了分析,讨讨了合金液滴的雾化机理并提出将雾化过程分为五个区域的理论,为雾化器构造的设计提供了可靠的数据资料。