模型理论

After analyze some kinds of extensions to the classical rough set theory, a new extension of rough set model based on limited non-symmetric similarity relation is developed.

为此，在分析研究已有的扩充粗糙集理论模型的基础上，进一步提出基于限制非对称相似关系的扩充粗糙集模型。

Then the formula of the impact force and contact time was induced,which the elastic coefficient of restitution was considered in contact time calculation.

根据赫兹接触模型和经典碰撞理论，并考虑返向器与螺母的固连关系，建立了滚珠与返向器碰撞接触的力学模型，导出了碰撞力公式，并在考虑弹性恢复系数的基础上推导出了碰撞接触时间公式。

The paper calculates the viscosity coefficient of two-phase solution that contains gas and liquid with the statistical mechanics and dynamics method.

采用统计力学模型对气液两相流体的粘滞系数进行了研究。认为这种模型比一般的液体理论方法直观和简洁，能更好地分析和计算两相流的粘度与其温度、流压及含气率的关系。

All those studies show that the improved MFF model is a simple, accurate and appropriate carbon particle combustion theory model for engineering application.

这些研究表明，改进的MFF模型是一种简单、准确、适于工程应用的碳粒燃烧理论模型。

This paper quantitates financial risk by constituting the model of measurement financial risk. And the samples are from the public companies'merger and acquisition from 2002 to 2005, this paper demonstrates perfectly the influence of financial risk of acquisition companies from different payment methods. The result of test analysis shows: in one side, the theory of risk-return is unfit in China (by being educed conclusions by other students: different payment methods bring different return, then the author detrusions different payment methods bringing different financial risk, and being tested direct proportion each other); in the other side, this paper answers different payment methods bringing different degree financial risk of acquisition companies: the smallest financial risk from cash payment method, the mean from commingle payment method, the biggest from stock payment method, which can supply reference in the choice of rational companies between payment methods and financial risk .

通过建立企业财务风险度量模型，将企业财务风险量化，并以中国上市公司2002年—2005年间的并购案中所采用的支付方式为样本，对我国上市公司并购中不同支付方式对并购方财务风险的影响做一个较系统、完善的实证检验，一方面从理论上验证了风险-收益理论的在我国的不具有适用性（通过对前人研究结论：不同支付方式带来不同收益，进而反推不同支付方式带来不同的财务风险，验证得出二者成正比关系）；另一方面回答在我国目前市场条件下并购中的不同支付方式引起收购公司不同程度的财务风险，其中现金支付方式下给收购公司带来的财务风险最小；混合支付次之，股票支付方式下财务风险最大，能给企业在并购时选择支付方式与财务风险的最佳组合提供参考。

Second. Equilibrium time changes with the common population's panmixia ratio varying.

建立了普通群体的遗传理论及其该理论的系列数学模型。2。

Other semirings arise naturally in such diverse areas of mathematics as combinatorics, functional analysis, topology, graph theory, Euclidean geometry, probability theory, commutative and noncommutative ring theory, optimization theory, discrete event dynamical systems, automata theory, formal language theory and the mathematical modeling of quantum physics and parallel computation systems.

在许多不同的数学领域存在着其它形式的半环，比如组合学，泛函分析，拓扑学，图论，欧式几何，概率论，交换和非交换环，优化论，离散动力系统，自动化理论，形式语言理论，量子物理的数据模型和并行计算系统。

The primary work of this paper includes: 1 The general process and the fundamental theory of genetic algorithm is introduced systematically, which is also be applied to an example; 2 The penalty function method and the constraint tournament method are introduced in the paper, which are used to process the constraint limit. Via analyzing the basic principle of NSGA-II ,which is elaborated in the paper, the fast non- dominated sorting method, congestion distance and its comparison operator, the elite strategy and the main process of NSGA-II is researched particularly. 3 Via modeling the fire distribution problem, the model is computed by the algorithm of NSGA-II, which is combined with both the penalty function method and the restraint league tournament method The optimization of two goals are also realized in the paper. The results derived from the VC++6.0 indicate that, two algorithms both have the high convergence, simultaneously the Pareto optimal solution also maintain the variety of distribution.

本文所作的主要工作如下：系统地介绍了遗传算法的一般流程和基本理论，并应用于一个函数优化的实例；研究了用于处理约束限制的罚函数法和约束联赛法，论述了NSGA-II的基本原理，并对其提出的快速非支配排序法、拥挤度及其比较算子、精英策略及NSGA-II的主要流程作了详细的研究；建立了火力分配问题的模型，并将NSGA-II算法分别与罚函数法和约束联赛法相结合对该模型进行了计算，实现了对两个目标的最优化；用VC++6.0编程计算后所得的结果表明，两种算法均具有很好的收敛性，同时Pareto最优解也保持了好的多样性分布。

Thirdly, a new type base isolation system, i. e., slide-limited friction base isolation system is presented in this paper. Based on this system, harmonic and subharmonic periodic response of S-LF subjected to harmonic motion is investigated by using Floquet theory. Dynamic response of sliding structure subjected to earthquake ground motion is calculated with a precise high order direct integration method, and the numerical results are presented in terms of maximum acceleration response spectra of supcrstructure and maximum sliding displacement response spectrum. By comparison with isolating effects of pure-friction base isolation system and resilient-friction base isolation system , it shows that the isolating characteristic of S-LF is superior to P-F and R-FBI. Through analyzing an engineering example, it is observed that the maximum inter-storey shear force and absolute acceleration of sliding structure to earthquake ground motion are very different from those of traditional structures.

提出了一种新型基础隔震模型，即带限位装置的摩擦隔震体系；基于此隔震模型，利用Floquet理论研究地面谐运动下S-LF结构的运动特性；并利用高精度的精细时程积分法，通过对地震作用下S-LF动力响应的计算，绘制了上部结构最大加速度反应谱和基底最大滑移量反应谱，并研究了各种结构参数对隔震的影响；通过与恢复力摩擦隔震系统和纯摩擦力滑移隔震系统的比较表明，S-LF的隔震性能优于P-F和R-FBI；对计算实例的分析发现，地震作用下S-LF结构的层间最大剪力和最大绝对加速度反应分布较一般传统结构有很大区别。

Dynamic response of sliding structure subjected to earthquake ground motion is calculated with a precise high order direct integration method, and the numerical results are presented in terms of maximum acceleration response spectra of supcrstructure and maximum sliding displacement response spectrum. By comparison with isolating effects of pure-friction base isolation system and resilient-friction base isolation system , it shows that the isolating characteristic of S-LF is superior to P-F and R-FBI. Through analyzing an engineering example, it is observed that the maximum inter-storey shear force and absolute acceleration of sliding structure to earthquake ground motion are very different from those of traditional structures.

提出了一种新型基础隔震模型，即带限位装置的摩擦隔震体系；基于此隔震模型，利用Floquet理论研究地面谐运动下S-LF结构的运动特性；并利用高精度的精细时程积分法，通过对地震作用下S-LF动力响应的计算，绘制了上部结构最大加速度反应谱和基底最大滑移量反应谱，并研究了各种结构参数对隔震的影响；通过与恢复力摩擦隔震系统和纯摩擦力滑移隔震系统的比较表明，S-LF的隔震性能优于P-F和R-FBI；对计算实例的分析发现，地震作用下S-LF结构的层间最大剪力和最大绝对加速度反应分布较一般传统结构有很大区别。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。