复流形局部q-凸楔形上带权的同伦公式

本文得到复流形局部q-凸楔形上(r,s)型微分形式的带权的同伦公式和(r,s)型的方程的带权的连续解,并给出(r,s)型微分形式的不含边界积分的新的带权的同伦公式和(r,s)型的方程的新的带权的连续解.这些新的带权公式尤其适用于具有非光滑边界的局部q-凸楔形,这时不但可以避免边界积分的复杂估计,而且积分密度也不必在边界有定义,只要在区域上有定义就行.其次,引进权因子,带权的积分公式在应用上(比如在函数的插值方面)具有更大的灵活性.     

Enhancement of Overall Photovoltaic Efficiency by Changing the Position of the Attaching Group -RSO3- on the Hemicyanine Dye Molecules

A new photoresponsive D-π-A dye, mPS, has been designed and synthesized.Compared to the parent dye PS, IPCE values in the region from 400 nm to 560 nm was greatly improved upon changing the attaching group from the p- position to the o- position of the π-conjugation bridge. A solar cell based on mPS generated a remarkably high overall yield η of 5.4% under irradiation of 80.0 mW cm^-2 white light from a Xe lamp, Compared with PS, the overall yield η increased by 64%.     

寻求匹配因子证明不等式

均值不等式是一组非常重要的不等式.数学竞赛中有许多轮换对称不等式都可以通过构造出均值不等式而获得简捷的证明.构造均值不等式的出发点和目标是寻求匹配因子,使每一个因式取值的比例达到均衡相等.本文通过实例谈一谈如何寻求匹配因子证明竞赛中的有关不等式问题.     

对角因子循环矩阵的谱分解及其应用

在文「１」的基础上讨论对角因子循环矩阵。首先，我们给出对角因子循环矩阵的谱分解，然后，讨论对角因子循环矩阵的广义逆，最后，作为应用，求解一类偏微分方程。     

关于k—消去图的若干新结果

设G是一个图．k是自然数．图G的一个k-正则支撑子图称为G的一个k-因子．若对于G的每条边e．G—e都存在一个k-因子，则称G是一个k-消去图．该文得到了一个图是k-消去图的若干充分条件，推广了文［2—4］中有关结论．     

Momentum Transfer Dependence of Two Types of the Broad Enhancement Phenomena： CO Spectra in the Valence Energy Region

Partial generalized oscillator strength densities of CO molecules related to the excitation of a 5σ or 1π electron are calculated by using multi-scattering self-consistent-field methods.Momentum transfer dependence of two types of the broad enhancement phenomena above the threshold with one-electron character,i.e. shape resonance and non-resonance enhancement,is studied.Our calculations show that the energy position of a non-resonance enhancement is related to the momentum transfer K.Therefore,electron impact based experiments can be used to identify the two types of the broad enhancement phenomena.     

Design and Fabrication of 1.06 μm Resonant-Cavity Enhanced Reflective Modulator with GaInAs/GaAs Quantum Wells

A resonant-cavity enhanced reflective optical modulator is designed and fabricated, with three groups of three highly strained InGaAs/GaAs quantum wells in the cavity, for low voltage and high contrast ratio operation. The quantum wells are positioned in antinodes of the optical standing wave. The modulator is grown in a single growth step in an molecular beam epitaxy system, using GaAs/AlAs distributed Bragg reflectors as both the top and bottom mirrors. Results show that the reflection device has a modulation extinction of 3 dB at -4.5 V bias.     

Construction of 2Ⅲ^[m-（m-k）] Designs with the Maximum Number of Clear Two-factor Interactions

It is useful to know the maximum number of clear two-factor interactions in a_Ⅲ~(m-(m-k))design.This paper provides a method to construct a 2_Ⅲ~(m-(m-k))design with the maximum number of clear two-factorinteractions.And it is proved that the resulting designs have more clear two-factor interactions than thoseconstructed by Tang et al.Moreover,the designs constructed are shown to have concise grid representations.     

动静态界面断裂应力强度因子间的普适关系

1 引言裂纹在速率无关载荷作用下以低于Rayleigh 波速扩展的问题是动态断裂的一项基本课题.其应力强度因子的短期响应(即自裂尖发出的散射波未折返回时裂尖之前的响应)可用含半无穷长裂纹的无穷大构形来模拟.对均匀各向同性材料,Freund(见文[1]的总结)建立了下述普适关系