阿普唑仑的波谱学数据和结构确证

阿普唑仑是一种临床上广泛应用的具有抗抑郁作用的药物. 本文对阿普唑仑进行了¹H、¹³C NMR检测,通过DEPT和¹H-¹H COSY、¹³C-¹H HSQC、¹³C-¹H HMBC等2D NMR技术对该化合物的¹H、¹³C NMR谱的信号进行了全归属,通过量子化学计算和NMR数据证实了化合物中亚甲基上2个氢的磁不等价性. 讨论了红外吸收光谱的特征峰,并对阿普唑仑的TOF MS的裂解途径进行了分析.      

亚音速轴流压气机转子非轴对称轮毂端壁的数值研究

修改端壁型线是减小二次流损失提高压气机性能的有效方法之一.本文针对某高亚音速压气机转子,首先利用三角函数造型法完成了非轴对称轮毂端壁造型,然后对带非轴对称端壁结构的轴流压气机内部流场进行了详细的数值模拟,数值计算所获得的总性能与试验结果符合较好,该非轴对称轮毂端壁结构的引入能使得压气机的峰值效率提高约0.3285%.详细分析了非轴对称端壁结构对压气机内部流场结构的影响,结果表明:非轴对称轮毂端壁结构的采用能够改善轮毂端壁附近载荷分布,有效地降低叶片通道的二次流流动,从而提高轴流压气机的性能.     

固壁近旁Stokes流中粘性液滴的运动和变形

发展了一种模拟固壁近旁轴对称Stokes流中粘性液滴的运动和变形及直接计算固壁上应力的边界积分方法．用此方法对不同的液滴-固壁初始相对间距、粘度比、表面张力和浮力联合参数以及环境流动参数情况进行了数值实验．数值结果显示,由于环境流动和浮力的作用,随着时间的推进,液滴在轴向压缩,在径向拉伸．当环境流动的作用弱于浮力作用时,随着时间的推移,液滴上升并向上弯,固壁上由液滴运动所引起的应力不断减小．当环境流动的作用强于浮力作用时,随着时间的推移,液滴变得越来越扁．在这种情形,当大初始间距时,壁面上的应力随液滴的演变而增大;当小初始间距时,由环境流动、浮力及壁面对流动的较强作用的联合影响,此应力随液滴的演变而减小．由于液滴运动所引起的壁面应力的有效作用仅限于对称轴附近的一个小范围内,且此范围随液滴与固壁的初始间距增大而增大．应力的大小随初始间距增大而大为减小．表面张力对液滴变形有阻止作用．液滴粘性会减小液滴的变形和位置迁移．     

基于流动性风险的开放式基金投资组合分析

不同于通常的投资组合方法,本文在开放式基金的投资组合中加进流动性风险,得出最佳流动性短缺概率和在流动性不同的有价证券上的最佳投资量.     

DETERMINATION OF GUT SCALE AND A CLASS OF NO SCALE SUSY GUTs

The GUT scale is determed in supersymmetric grand unified models.It is obtained naturally that there is only one heavy scale.So we can construct a class of no scale SUSY GUTS in which the gravitino mass,m_3/2=O(m_w) and m_w is determined by radiative corrections.     

Exact Boundary Synchronization by Groups for a Kind of System of Wave Equations Coupled with Velocities*

This paper deals with the exact boundary controllability and the exact boundary synchronization for a 1-D system of wave equations coupled with velocities. These problems can not be solved directly by the usual HUM method for wave equations, however, by transforming the system into a first order hyperbolic system, the HUM method for 1-D first order hyperbolic systems, established by Li-Lu(2022) and Lu-Li(2022), can be applied to get the corresponding results.     

关于相对论等离子体统计力学的一些问题

相对论统计力学的发展已近一个世纪，目前仍处于有争议阶段，本文对相对论等离子体理论的发展、基本概念和一些问题作一简要评述。     

Study on the analytical solution of the MSA for a one-component two-Yukawa potential in bovine serum albumin—NaC1 aqueous solution

Using the mean spherical approximation (MSA), an explicit analytical equation of state (EOS) with non-dimensional variables for one-component two-Yukawa fluid is established based on the work of Blum, L., and Ubriaco, M., 2000, Molec. Phys., 98, 829. A simple and directly iterative method is found for obtaining an acceptable solution. The strict two-Yukawa EOS is used to correlate the experimental osmotic pressure data of aqueous bovine serum albumin (BSA)-NaCl solutions in the one-component assumption. Considering the experimental error, the correlation results are good, with only one regressed parameter (disperse energy parameter ?). The deviation of correlation is discussed in detail. A concept of effective diameter, which obviously can decrease the deviation of correlation, is given.     

A Note on the Pair Excitation Across Major Shell in Deformed Nuclei

Valence nucleons usually play a dominant role in low energy nuclear spectra. The original version of the Interacting Boson Model[1](IBM) with the assumption that all degrees of freedom arise from the valence shell reproduces well large amount of experimental data. However this assumption does not work well in some cases, for instance, in the even isotopes of Sn, Cd, and Hg, Pb rather well developed intruder bands121 lie outside the IBA model space. K. Heyde et al. attributed these low lying intruder states to the pair excitation (PE) across major shell131. In the well deformed nuclei one can hardly think of the closed shell core as being spherical and inert. The rapid change of Nilsson levels with deformation seems to indicate that there should be excitations of nucleons across major shells in the well deformed nuclei.     

公交车调度问题的数学模型

对 2 0 0 1年全国大学生数学建模竞赛的 B题——公交车调度问题进行了分析 ,建立了调度的目标规划模型及 0— 1规划模型 .在假设各站上、下车人数服从均匀分布的条件下 ,通过对模型的求解 ,求出了公交公司的最小运行车辆数 5 2辆 ,并给出了发车时刻表 ,其中上行方向运行 2 2 5班次 ,下行方向运行 2 2 0班次 .该模型简单 ,求解容易 ,能较好地考虑各方利益