有序拓扑向量空间中有效点的存在性定理

1980年,H.W.Cordy引进K-半紧概念,深入地讨论了Banach空间中有效点的存在性.本文将K-半紧性推广到K-仿紧性,从而在较弱条件下获得一般有序拓扑向量空间中的有效点存在性定理.     

弱1—凸对策及其解的性质

本文提出了一类特殊的ｎ人合作对策模型─—弱１—凸对策，研究了弱１—凸对策的解的性质，并证明弱１—凸对策的解满足所有常见的公理化特征．     

Theoretical Design of High-spin Organic Molecules with —^＊N—S— as a Spin-containing Fragment and Heterocycle as End Groups

IntroductionDesigns and syntheses of organic molecules withvery high-spin ground states have been a topic of greatinterest[1—8].One of the rational approaches to desig-ning high-spin molecules,which has been proposedand studied by several groups[9,10],in…     

具有平行平均曲率向量子流形的曲率估计与稳定性

本文估计空间形式中具有平行平均曲率向量子流形上共形度量的数量曲率上界,并利用其研究了具有常平均曲率超曲面的稳定性．     

η-Invariant and Flat Vector Bundles

Abstract We present an alternate definition of the mod Z component of the Atiyah-Patodi-Singer η invariant associated to (not necessary unitary) flat vector bundles, which identifies explicitly its real and imaginary parts. This is done by combining a deformation of flat connections introduced in a previous paper with the analytic continuation procedure appearing in the original article of Atiyah, Patodi and Singer. * Project supported by the Cheung-Kong Scholarship of the Ministry of Education of China and the 973 Project of the Ministry of Science and Technology of China. (Dedicated to the memory of Shiing-Shen Chern)     

Sansalvamide A固相合成新方法

报道了Pd催化丁基二乙基硅烷树脂与N-Boc-4-溴代苯丙氨酸甲酯直接反应形成Si—Ar键一步构建出硅基连接分子的新方法, 并采用Boc策略增长肽链, 以PyBOP (benzotriazole-1-yl-oxy-tris-pyrrolidino-phosphonium hexafluoro- phosphate)为环合剂固相合成了sansalvamide A.     

新型噻吩基取代卟啉的合成及其荧光光谱研究

合成了两种新型噻吩基卟啉－5，15－二（2－噻吩基）－2，8，12，18－四乙基－3，7，13，17－四甲基卟啉7a（45．1％）和5，15－二（2－联噻吩基）－2，8，12，18－四乙基－3，7，13，17－四甲基卟啉7b(61.2%),并研究了它们的光谱性质，其中荧光光谱的最大发射峰蜂都在631nm处，量子产率分别为4．1％（7a)和1．4％（7b)。     

Bound States of the S-Wave Equation with Equal Scalar and Vector Standard Eckart Potential

A supersymmetric technique for the bound-state solutions of the s-wave Klein-Gordon equation with equal scalar and vector standard Eckart-type potential is proposed. Its exact solutions are obtained. Possible generalization of our approach is outlined.