校车安排问题

探讨如何安排校车运行使得教师和工作人员尽量满意的问题.首先建立动态规划模型和选址规划模型,求出合理站点位置及其总距离.然后用归一法定义满意度与距离的函数关系,考虑各区域人数,建立选址规划模型.得到合理站点位置和总满意度.之后建立双目标非线性规划模型,利用量纲分析法给出权重,以此求出合理乘车位置和满意度.最后对问题进行推...     

核ANC和激发态中子晕

利用转移反应¹¹B(d,p)¹²B和¹²C(d,p)¹³C抽取¹²B<—>¹¹B+n和¹³C<—>¹²C+n重叠函数的核渐近归一化常数,计算了¹²B和¹³C核中价中子密度分布的均方根半径及其在核外的几率.实验结果表明,¹²B的第二(J^π=2^－),第三(J^π=1^－)激发态和13C的第一(J^π=1/2⁺)激发态为中子晕态,而¹³C的第三(J^π=5/2⁺)激发态是中子皮态.考察了库仑势和角动量对晕形成的阻碍效应.提出了均方根半径对于有效核子分离能的统一的标度定律.     

Nonlinear elastic waves in a monatomic chain with nonlinear interaction

1　ＩＮＴＲＯＤＵＣＴＩＯＮＢｅｃａｕｓｅｓｏｍｅｉｍｐｏｒｔａｎｔ ｐｒｏｐｅｒｔｉｅｓｏｆｃｒｙｓｔａｌ(ｓｕｃｈａｓｓｐｅｃｉｆｉｃｈｅａｔａｔｈｉｇｈｔｅｍｐｅｒａｔｕｒｅ ,ｍｅｌｔｉｎｇ ,ｔｈｅｒｍａｌｅｘｐａｎｓｉｏｎ ,ｔｅｍｐｅｒａｔｕｒｅｄｅ     

Remarks on Levy's reflection axiom

Adding higher types to set theory differs from adding inaccessible cardinals, in that higher type arguments apply to all sets rather than just ordinary ones. Levy's reflection axiom is justified, by considering the principle that we can pretend that the universe is a set, together with methods of Gaifman [8]. We reprove some results of Gaifman, and some facts about Levy's reflection axiom, including the fact that adding higher types yields no new theorems about sets. Some remarks on standard models are made. An obvious strengthening of Levy's axiom to higher types is considered, which implies the existence of indescribable cardinals. Other remarks about larger cardinals are made; some questions of Gloede [9] are settled. Finally we argue that the evidence for V = L is strong, and that CH is certainly true. MSC: 03E30, 03E55.     

Magnetostatic stresses on a superconductor in a dielectric fluid

Summary The stresses which act on the surface of a superconductor surrounded by an isotropic dielectric fluid at rest are evaluated. Moreover, it is proved that there exists an infinite set of second-order tensors which yield these stresses. The magnetic Helmoltz stress tensor belongs to this set.     

On the plastic equation of state with one structure variable

Summary The general expression for a plastic equation of state with one structure variable and with a scaling relationship is presented. It is demonstrated that this equation can be written, in general, in terms of stress, plastic strain rate and a function of plastic strain. Finally, the results are compared with previous formulations of the problem presented in the literature to show that they are particular cases of the general formalism presented. The authors of this paper have agreed to not receive the proofs for correction.     

关系模式规范化的几个问题

本文讨论了关系数据库中实际数据依赖和用于规范化的函数依赖集之间的差异及过度规范化问题。研究了函数依赖集的闭包及Boyce-Codd范式的判定问题。提出了原子函数依赖集的概念,以此取代函数依赖集的闭包进行关系模式的规范化。并定义了一类对某NP-完全问题可解的实际问题。     

Application of Discrete Element Method for Continuum Dynamic Problems

A new method based on the principle of minimum potential energy is presented, aiming to overcome some weakness of the present discrete element method (DEM). Our primary research is to put forward the DEM with a tight theory base and a fit technique for treating continuum dynamic problems. By using this method, we can not only extend the existing seven-disc model, but also establish a new nine-disc model in a general way. Moreover, the equivalences of two kinds of models have been verified. In addition, three numerical examples of stress wave propagation problems are given in order to validate accuracy and efficiency of the present DEM models and their algorithms. Finally, the dynamic stress concentration problem of a square plate with a circular hole is analyzed.This work was supported by Nation Natural Science Foundation of China (nos. 10232040 and 10572002).