基于分解测度的模糊积分及收敛定理(英文)

为了解决一些收敛定理 ,我们给出基于半环 ( [0 ,1 ], , )的伪可加分解测度的积分这种模糊积分被深入研究 .在给出这种积分的性质的基础上 ,我们得到一些收敛定理 ,它们是经典收敛定理的扩张 ,同时我们得到关于这种模糊测度的 Egorof定理     

角反射器阵列作为伪相位共轭器件的保真度分析

 研究了共光路共模块自适应光学系统中用角反射器阵列构成伪相位共轭器件,角反射器阵列形成伪相位共轭波的能力,具体计算了不同单元数的角反射器阵列形成具有Zernike多项式展开的各阶像差的波面的相位共轭的保真度。角反射器阵列的保真度决定于其单元数和阵列结构,对于不同类型的像差保真度也是不同的。最后对各种影响因素如衍射、二面角误差和面形误差等进行了分析。     

A BODIPY-based highly emissive dye with thiophene-based branch harvesting the light

ABSTRACT

A novel BODIPY-based dye with highly emissive character was configured by Sonogashira coupling and routinely characterized by NMR and MS technology. The emission of dye was investigated in solution/film/solid and shows intensive emission. In solution, the emission peak appeared around 510 nm with little influence by the polar environment. The terthiophene plays an effective antenna effect, harvesting the light and transferring the energy to BODIPY. The pseudo Stoke's shift enlarged to ～170 nm in solution. In film, the emission peak shifted to 563 nm in polycarbonate matrix. And it shifted further to 585 nm in solid due to the highly twisted structure, which avoided closely regular-tight packing. The dye rendered an intense fluorescence, good optothermal stability, and high fluorescence quantum yield (0.55). The solid emission showed highly red emission with Commission Internationale de L'Eclairage (CIE) coordinates of (X = 0.69, Y = 0.31). Thus, the synthesized dye is idea candidate for emitting materials.     

大型渡槽动力设计方法研究

根据大型渡槽结构的特点,在缺乏适用的抗震分析模型前提下,提出支撑-渡槽-水伪三维流固耦合动力分析方法。模型基于结构动力分析理论和流固耦合分析理论,整体结构分析采用Newmark方法进行动力时程分析,分析中考虑渡槽结构整体受力性能,包括下部支撑结构、地基等多种因素的影响作用;渡槽-水耦合体子结构分析采用任意拉格朗日-欧拉(Arbitrary Lagrangian Eulerian,ALE)有限元方法进行动力分析,考虑渡槽-水的耦合相互作用,模拟渡槽中水体的大幅晃动作用,相应得出渡槽中动力压力值及其分布。以某排架支撑矩形渡槽为例,采用本文提出的伪三维模型进行地震时程分析,计算结果与三维模型计算结果吻合良好。本文提出的伪三维动力分析方法计算效率高,满足渡槽结构抗震设计要求,便于工程应用,是大型渡槽结构动力分析研究和抗震设计的实用静、动力分析方法。     

基于密度泛函的伪麻黄碱拉曼光谱性质研究

研究伪麻黄碱的拉曼光谱和吸附在纳米银基底上的表面增强拉曼光谱(SERS),利用密度泛函理论B3LYP/6-311G++(d, p)方法对伪麻黄碱分子进行了计算,得到了分子构型信息和理论拉曼光谱,用Gaussview软件对分子振动模式进行了全面的归属,在伪麻黄碱的表面增强拉曼光谱中,采用了自组装方法获得了团簇银纳米表面增强基底,实现了很好的增强效应.实验结果表明：伪麻黄碱的拉曼光谱计算结果和实验结果基本一致,理论计算为伪麻黄碱分子振动峰位的归属提供了重要的依据,伪麻黄碱分子与银纳米表面化学吸附,苯环垂直于纳米基底表面,研究结果为伪麻黄碱的拉曼光谱检验分析提供了理论依据,也为苯丙胺类毒品的光谱分析研究提供了参考.     

Pseudocomplex and Pseudo(bi)quaternion Mappings

A problem posed by V. I. Arnold is solved by describing all homeomorphisms of an affine quaternion space that take any left or right affine quaternion line to a left or right affine quaternion line (a left line can be taken to a right one, and vice versa).     

局部对称的伪黎曼流形中的极大类空子流形

Np^n p为n p维局部对称的完备连通伪黎曼流形，它的截面曲率KN满足c1≤KN≤c2.M^n为Np^n p中的极大类伫子流形。给出了M^n完备或紧致情况下它的第二基本形式模长平方的估计，推广了已有的结论。     

From two mesons and (V-A) weak currents to the standard model of quark and lepton interactions

This retrospective paper traces the conceptual evolution of two theories in which the author was involved—the two-meson theory (with H A Bethe) in 1947 and the universal (V-A) theory of weak interactions (with E C G Sudarshan) in 1957—into the present-day standard model of particle interactions. Part 1 is entitled ‘From the pion to QCD and pseudo-Goldstone bosons” and Part 2 “From the muon and neutrino to QFD and chiral anomalies’. Adapted from two lectures delivered at the University of Rochester in October, 1987.     

带逐段常变量的非线性双曲微分方程的伪概周期解

In this paper,we investigate the pseudo almost periodicity of the unique bounded solution for a nonlinear hyperbolic equation with piecewise constant argument.The equation under consideration is a mathematical model for the dynamics of gas absorption.