A DOMINANCE APPROACH FOR PLANE PARTITIONS

By developing the dominance technique of nondecreasing integer sequences into a multifoldform,we introduce a new approach for the enumeration of plane partitions,which can be used togenerate most of classical theorems in this field.The treatment presented here may be more accessibleto readers than the earlier methods of algebra,analysis and algorithm.     

具有扩散的捕食系统周期解的全局存在性

考虑一类非自治捕食系统，食饵种群可以在两个斑块中扩散，捕食者种群在一个斑块中不能扩散，利用迭合度方法，得到了一组易验证的系统存在严格正周期解的充分条件．     

UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION

In this paper, we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays. The system, which consists of two Lotka-Volterra patches, has two competitors: one can disperse between the two patches, but the other is confined to one patch and cannot disperse. Our purpose is to demonstrate that the dispersion rates have no effect on the uniform persistence of the solutions of the system. Furthermore, we establish the conditions under which the system admits a positive periodic solution which attracts all solutions.     

价格本体系统投入产出模型中直接消耗系数对临界平均毛利率的影响分析

针对价格本体系统稳定性建立了基本价格投入产出模型,给出了定价稳定性的充要条件和临界平均毛利率的表达式,并研究降低直接消耗系数对该临界平均毛利率的定量影响,得出降低直接消耗系数可提高临界平均毛利率定量关系的结论,并给出了临界平均毛利率的增加幅度.     

随机约束条件下线性回归模型中的效率度量

估计效率是一个重要的概念．本文把它作为随机约束条件下线性回归模型中的影响度量，研究厂数据对约束模型的影响．     

三氟乙烷的气相音速测量与热力学性质研究

采用球型腔体声学共振法测量了新型制冷剂三氟乙烷(HFC143a)的气相音速,得到了压力在200～800kPa范围内,温度分别为293.61、302.96、313.19和323.18K时的4条等温线共28个音速数据.根据实验数据,由热力学关系式得到了HFC143a的理想气体比定压热容和第二音速维里系数等热力学性质,同时根据现有的高精度实验数据拟合了HFC143a的理想气体比热方程.温度、压力和气体音速测量的不确定度分别为±14mK、2.0kPa和±0.0037%.     

The EM scattering from one-dimensionally lossy fractal surfaces

The EM scattering from rough surface has been investigated in the past years. Periodic and random models are often used in modeling the rough surface. Recently, the fractal geometry is rapidly improved. It provides a new way to model the rough surface whose characteristics are long-range order and short-range disorder. In this paper, A fractal function is used to model the rough surface. A scattering coefficient for calculating the angular distribution and the amount of energy in the spectrally scattering field to the fractal characteristics of the surfaces by finding their analytical expressions is derived by using the Kirchhoff solution. In the end, we calculate some scattering patterns. Supported by the National Natural Science Foundation of China Gao Huotao: born in 1964, Graduate student     

利用掩蔽系数同时测定中草药中的钼和铜(PF-PAN-TritonX-100体系)

本文研究了在混合显色剂（ＰＦ＋ＰＡＮ）的胶束体系中，利用掩蔽系数同时测定中草药中钼和铜的光度分析法．实验表明：在混合体系中，钼量在０～１０μｇ，铜量在０～５０μｇ的范围内符合比耳定律，ε′Ｍｏ＝９２×１０４，ε′Ｃｕ＝１５×１０４．该法用于中草药样品的分析，结果令人满意，回收率可达９２％～１１１％．     

关于正交级数系数的某些性质

本文给出由就范正交系 { φn(x) } ∞n =1 Lp(E)构成的正交级数Σ∞n =1anφn(x) ,其系数an 收敛于零的充分条件及由此得到在L2 ([0 ,1])上的推论。本文也给出当p∈ (0 ,2 )时结论不成立的反例。     

织物伞式悬垂旋转速度对悬垂性影响的研究

分析了8种典型织物在不同旋转速度下的悬垂系数的变化规律,探讨描述织物动态悬垂性的活泼程度指标的表达方法.