不动点集为P(1, n)\times HP(1)的光滑对合

设(Mr,T)是一个在r维闭光滑流形上的不平凡光滑对合,可证对合的不动点集是P(1,n)×HP(1),n为奇数,则(Mr,T)协边于零.     

试论高校技术开发系统内部运行机制的构建与完善

本文论述了技术开发工作在高校自我发展中的地位与作用，进而确定了高校开展技术开发活动的要素条件，在分析阻碍高校开展技术开发工作内部症结问题的基础上，初步建立了由整合机制、动力机制、导向机制、调控机制和发展机制等五部分构成的良性高校技术开发系统内部运行机制。     

在甲烷氧化偶联反应中碱、碱土、稀土金属氧化物之间的相互作用 Ⅰ.含锂氧化物催化剂表面锂的作用

报导了表面相Li在甲烷氧化偶联反应中的作用。应用XRD,SEM,ESR及IR-PAS等技术对Li-Mn-Mg-O催化剂体系表面相的组成、结构及活性进行了测试,发现C_2产物的生成量同表面相Li的含量有较好的对应关系。同时发现含Li催化剂的失活同表面相Li的流失有密切的关系。表面Li的流失可借助体相Li在适当温度下扩散得到补充,但这种补充也是很有限的。     

Quantum Secure Direct Communication Network with Two-Step Protocol

An efficient quantum secure direct communication network protocol with the two-step scheme is proposed by using the Einstein-Podolsky-Rosen （EPR） pair block as the quantum information carrier. The server, say Alice, prepares and measures the EPR pairs in the quantum communication and the users perform the four local unitary operations to encode their message. Anyone of the legitimate users can communicate another one on the network securely. Since almost all of the instances in this scheme are useful and each EPR pair can carry two bits of information, the efficiency for qubits and the source capacity both approach the maximal values.     

A quantitative structure-activity relationship study of antifungal analogues of 3,4-substituted 5-((1H-1, 2, 4-triazol-1-yl)methyl)-4H-1,2,4-triazole

A series of 5-((1H-1, 2, 4-triazol-1-yl)methyl)-4H-1,2,4-triazole derivatives were prepared and evaluated for their antifungal activities. Quantitative structure–activity relationship studies were performed on these compounds using physicochemical parameters as independent parameters and antifungal activity as a dependent parameter, where antifungal activity correlated best (correlation coefficient r > 0.8) with physicochemical parameters (Hammett’s constants σ _p , F) and van der Waals volume V ₁. Results are interpreted on the basis of multiple regression and cross-validation methodology. Furthermore, the domain of applicability which indicates the area of reliable predictions is defined. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users. Chemical structures of A1–26 and A39; synthetic procedures; synthesis schemes; mps, yields, ¹H NMR; elemental analyses of compounds and single crystal X-ray diffraction of compounds.