拟圆周与交比

设(z_1,z_2,z_3,z_4)=((z_1-z_3)(z_2-z_4))/((z_1-z_4)(z_2-z_3))表示扩充复平面■~2上互不相同有序四点z_1,z_2,z_3,z_4的交比,利用交比刻画了圆周与拟圆周的几何性质,得到(1)■~2上的Jordan曲线Γ是圆周(或直线)当且仅当Γ上任意互不相同的有序四点z_1,z_2,z_3,z_4,满足|(z_1,z_4,z_2,z_3)| |(z_1,z_2,z_4,z_3)|=1; (2)■~2上的Jordan曲线Γ是拟圆周当且仅当存在常数c≥1,对Γ上任意互不相同的有序四点z_1,z_2,z_3,z_4,满足|(z_1,z_4,z_2,z_3)| |(z_1,z_2,z_4,z_3)|≤c．     

DWDM用薄膜窄带滤光片的容差特性模拟分析

讨论了用于DWDM系统的薄膜窄带滤光片在镀制过程中的监控方法及误差产生的机理,利用自行建立的计算机膜厚容差模拟程序,分析了多FabryPerot腔窄带滤光片的容差特性.发现多腔窄带滤光片各腔的误差灵敏度与腔的位置有关,且各腔间隔层组成材料不同,其对误差最敏感的膜层位置也不相同.     

拟圆的三个充要条件

设D是R2中的Jordan域,D*=R2＼D是D的外部,本文证明了拟圆的下面三个充要条件:(1)D是拟圆当且仅当D和D*都是弱拟凸域;(2)D是拟圆当且仅当D和D*都是弱Cigar域;(3)D是拟圆当且仅当D是弱一致域.     

由对苯二酚合成2,5—二甲氧基对苯二苄氯锍盐

以对苯二酚为基本原料，通过改进的甲氧基化、氯甲基化、锍化３个反应合成，得到（２，５－二甲氧基对苯乙炔）单体双锍盐２，５－二甲氧基对苯二苄氯锍盐，且产率达８４％，并对每步反应的合成条件及原因进行了解释，运用色谱／质谱联用仪和核磁共振仪对每步产物进行了表征     

关于n阶微分方程边值问题（Ⅲ）——奇摄动的渐近展开

本文研究n阶非线性过值问题(NB)的奇异摄动。在较一般的条件下,应用高阶微分不等式理论证明了摄动解的存在性,并给出了摄动解直到n阶导函数的一致有效渐近展开式,推广和改进了已有的结果。     

非线性波动方程经典解的整体存在性

该文证明了波动方程uu－△u＝F（u，Du）的Cauchy问题整体经典解的存在性唯一性，并对方程中出现的每项u，Du，D2u的某种范数均得到了与齐次方程相同的衰减估计，其结果补充和丰富了[4]中F不显含u时的结果．     

Synthesis and efficiency of a chelating fiber for preconcentration and separation of trace Au(III) and Pd(IV) from solution samples

A novel poly(acryl-benzoylamidrazone-acryl-benzoylhydrazine) chelating fiber was synthesized simply from nitrilon (polyacrylonitrile fiber). The structure of the chelating fiber was verified with the help of FT-IR spectrum. The parameters influencing the efficiency of the fiber for concentrating trace amounts of Au(III) and Pd(IV) were investigated in detail. Trace Au(III) and Pd(IV) were enriched and separated from real sample solutions and detected using inductively coupled plasma atomic emission spectrometry (ICP-AES) with satisfactory results. The experiments show that the method is rapid, precise, simple and convenient to use.     

THE BI-SELF-CONJUGATE AND NONNEGATIVE DEFINITE SOLUTIONS TO THE INVERSE EIGENVALUE PROBLEM OF QUATERNION MATRICES

The main aim of this paper is to discuss the following two problems:λm)∈Hm×m, find A ∈ BSH≥n×n such that AX= X∧, where BSH≥n×n denotes the set of all n × n quaternion matrices which are bi-self-conjugate and nonnegative definite.Problem Ⅱ:Given B ∈ Hn×m, find -B∈SE such that ||B- B||Q = minA∈sE ||B - A||Q,necessary and sufficient conditions for SE being nonempty are obtained. The general form of elements in SE and the expression of the unique solution B of problem Ⅱ are given.     

电子辐照ITO/F46/Ag热控涂层的电学性能退化及损伤机理

对ITO/F46/Ag热控涂层进行了电子辐照地面模拟试验,探讨了其表面电阻率随电子辐照注量的退化规律,并借助扫描电镜(SEM)对其表面形貌变化进行了研究。通过SEM分析发现,涂层表面发生了严重的损伤效应,有裂纹、碎片和熔蚀现象出现。对涂层的损伤机理进行了分析,并给出了电子辐照ITO/F46/Ag热控涂层的表面碎裂损伤模型。     

Construction of stable equivalences of Morita type for finite-dimensional algebras I

In the representation theory of finite groups, the stable equivalence of Morita type plays an important role. For general finite-dimensional algebras, this notion is still of particular interest. However, except for the class of self-injective algebras, one does not know much on the existence of such equivalences between two finite-dimensional algebras; in fact, even a non-trivial example is not known. In this paper, we provide two methods to produce new stable equivalences of Morita type from given ones. The main results are Corollary 1.2 and Theorem 1.3. Here the algebras considered are not necessarily self-injective. As a consequence of our constructions, we give an example of a stable equivalence of Morita type between two algebras of global dimension , such that one of them is quasi-hereditary and the other is not. This shows that stable equivalences of Morita type do not preserve the quasi-heredity of algebras. As another by-product, we construct a Morita equivalence inside each given stable equivalence of Morita type between algebras and . This leads not only to a general formulation of a result by Linckelmann (1996), but also to a nice correspondence of some torsion pairs in -mod with those in -mod if both and are symmetric algebras. Moreover, under the assumption of symmetric algebras we can get a new stable equivalence of Morita type. Finally, we point out that stable equivalences of Morita type are preserved under separable extensions of ground fields.