椭圆曲面上的辛循环作用

Let X = E（n） be the relatively minimal elliptic surface with rational base, where n 〉 2. In this paper, several pseudofree, homologically trivial, symplectic cyclic actions by groups whose orders are 2, 3, 5 and 7 on X are studied.     

Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS–BEC crossover

The effective action describing the gapless Nambu–Goldstone, or Anderson–Bogoliubov, mode of a zero-temperature dilute Fermi gas at unitarity is derived up to next-to-leading order in derivatives from the microscopic theory. Apart from a next-to-leading order term that is suppressed in the BCS limit, the effective action obtained in the strong-coupling unitary limit is proportional to that obtained in the weak-coupling BCS limit.     

酶催化分光光度法测定盐酸甲氧氯普胺

试验发现血红蛋白(Hb)对酸性铬蓝K与过氧化氢的氧化褪色反应的催化作用因甲氧氯普胺的存在而受到抑制。此反应系在pH 9.5的氨性缓冲介质中进行,并根据在551 nm波长(为酸性铬蓝K在此条件下的吸收峰)处测得的吸光度A0(试剂空白溶液)、A1(加Hb溶液)及A2(加Hb和甲氧氯普胺溶液),按所给公式计算反应的抑制率(I%)。甲氧氯普胺的浓度在3.0×10-6~1.2×10-4mol·L-1范围内与所算得的抑制率呈线性关系。上述反应的检出限(3s/k)为2.8×10-8mol·L-1。浓度水平在4.0×10-5mol·L-1时,测得其相对标准偏差(n=11)为4.6%。根据以上方法,测定了药物针剂中甲氧氯普胺含量,测得结果与其标示值相符。     

基于符号向量动力学的耦合映像格子参数估计

本文,将符号动力学推广到耦合映像格子中,以Logistic映射下耦合映像格子为研究对象,研究控制参数对符号向量序列动力学特性的影响.通过研究耦合映像格子逆函数,给出耦合映像格子的遍历条件.进一步,将给出系统初始向量,禁止字以及控制参数的符号向量序列描述方法,并最终给出基于符号向量动力学的耦合映像格子控制参数估计方法.实验结果表明,根据本文算法可以有效建立符号序列和耦合映像格子控制参数之间的对应关系,能够更好地刻画了实际模型的物理过程. 关键词： 符号向量动力学 耦合映像格子 参数估计 遍历性     

鲁米诺-焦性没食子酸体系抑制化学发光法测定5-磺基水杨酸

基于碱性介质中5-磺基水杨酸对鲁米诺-焦性没食子酸体系化学发光的抑制作用,建立了流动注射化学发光测定5-磺基水杨酸的新方法.在最佳实验条件下,测定5-磺基水杨酸的线性范围为1.0×10-7～1.0×10-5mol/L,相关系数为0.9996(n=5),检出限为6.8×10-8mol/,L(n=11),对1.0×10-6...     

亚氨二乙酸型复合材料IDAA-PGMA/SiO2对重金属及稀土离子的吸附行为与吸附热力学

将甲基丙烯酸缩水甘油酯(GMA)接枝于硅胶微粒表面,制得了接枝微粒PGMA/SiO₂; 使亚氨二乙酸(IDAA)与接枝PGMA的环氧基团发生开环反应, 从而将亚氨二乙酸基团引入接枝微粒表面, 制得了复合螯合微粒材料IDAA-PGMA/SiO₂. 本文研究了IDAA-PGMA/SiO₂对重金属及稀土离子的螯合吸附行为, 深入地研究了吸附机理与吸附热力学. 研究结果表明: 凭借亚氨二乙酸基团与重金属离子之间的静电作用与配位螯合作用的协同, 复合微粒材料IDAA-PGMA/SiO₂对重金属离子可产生强的螯合吸附作用, 尤其对Pb²⁺离子表现出很强的螯合吸附能力, 常温下吸附容量可达0.235 g·g^-1; IDAA-PGMA/SiO₂对重金属离子的吸附过程为一放热过程, 且为焓驱动的过程, 升高温度, 吸附容量降低; 对稀土离子的吸附过程则为熵驱动的过程; 在可抑制金属离子水解的pH范围内, 介质的pH值越高, IDAA-PGMA/SiO₂的螯合吸附能力越强; IDAA-PGMA/SiO₂对重金属离子的吸附容量远高于对稀土离子的吸附容量.     

地震作用下基于响应敏感性的单层球面网壳冗余度分析方法研究

冗余特性是结构鲁棒性的重要组成部分,也是损伤情况下结构安全性的体现。在地震等动力荷载作用下单层球面网壳结构的倒塌模式由诸多因素决定,其中结构的冗余度是重要的影响因素。为合理评估地震作用下的结构冗余度,本文基于结构响应对单元材料弹性模量的敏感性提出地震作用下的结构构件冗余度评价方法,并对一星型网壳在地震作用下的弹性、弹塑性冗余度进行分析,以验证方法的有效性。结果表明,结构冗余度能够反映构件在结构中的重要性,冗余度值的大小是构件重要性的衡量指标,低冗余度构件是结构的关键构件。利用结构的冗余度分布,可以采取加强低冗余构件的措施,从而实现网壳结构倒塌模式的优化控制。     

A local approach to dimensional reduction: I. General formalism

We present a formalism for dimensional reduction based on the local properties of invariant cross-sections (“fields”) and differential operators. This formalism does not need an ansatz for the invariant fields and is convenient when the reducing group is non-compact.

In the approach presented here, splittings of some exact sequences of vector bundles play a key role. In the case of invariant fields and differential operators, the invariance property leads to an explicit splitting of the corresponding sequences, i.e. to the reduced field/operator. There are also situations when the splittings do not come from invariance with respect to a group action but from some other conditions, which leads to a “non-canonical” reduction.

In a special case, studied in detail in the second part of this article, this method provides an algorithm for construction of conformally invariant fields and differential operators in Minkowski space.     

Modeling and solution of COA development based on timed influence net and game theory

The development of a course of action (COA) is one of key steps in operation planning. Considering the conflict game, resource restriction, and the influence of execution time, this paper establishes a COA development model based on the timed influence net and game theory. The given problem is solved by transforming it into a standard matrix game model. An example is provided to illustrate this model and its solution.     

A minimizing property of homographic solutions

In this paper, we prove that the homographic solutions to the rhombus four body prob- lem are the variational minimizers of the Lagrangian action restricted on a holonomically constrained rhombus loop space.