基本变量

simultaneous annealing ; golbal optimization ; continuous variable

我们将该方法应用到连续变量非线性最优化问题，这时随机搜索算法一般都采用大范围的粗略搜索与局部的精细搜索相结合的搜索策略，这种搜索策略的基本思想是，在搜索过程的初始阶段找到全局优解所在的一个局部区域，然

The basic conclusion is that the identifiability of general RCM models included the switching regression is dependent on the distribution of explanatory variables to some extent.

基本的结论是，包括开关回归在内的一般回归类混合模型的可识别性在很大程度上取决于解释变量的分布状况。

Aim at ubiquitous parallel multi-reservoir structure in our countrys basin, the universal objective function including coefficient Bi embodying a spatial significance difference at different flood control points and variable ai denoting a selection of scheduling mode is established, which provide a valid intervenor interface for flood control consultation decision. According to the real-time requirement, a model of reservoir storage allocation is proposed, which embody basic idea of phasic compensation. Passing the dynamic correction to cut down the disadvantageous influence that indetermination result in on the certain degree, joining together the step alternation solving method, this model can maximally consider bias of decision makers, ensure the rationality and practicability of the solutions.

针对我国流域中普遍存在的并联库群结构，论文提出包含不同防洪点重要性的系数β_i和选择调度模式的变量α_i的通用目标函数，为防洪会商决策，提供了有效的人工干预接口，根据实时性要求提出动态分配防洪库容的库容分配方法，体现了相机补偿的基本思想，通过动态修正在一定程度上可以削减不确定性造成的不利影响，结合分步迭代求解技术，能最大限度体现决策者的偏好，保障解的合理性和可操作性。

First of all, the structural analysis under the action of random loads is carried out and the mean value and variance of all joint's displacement and bar's stress in the structure are obtained by means of three fundamental equations (equilibrium, physical and geometric) in structural mechanics, as well as the property of moment of random variable.

通过引入可靠性安全系数，并利用结构力学的三个基本方程，将结构的位移和杆件应力可靠性约束等价显示化为设计变量的线性函数，使原基于可靠性的优化模型转化为常规的序列线性规划问题，利用修正的单纯形法求解。

Let x: M→S(superscript n+1)(n≥3) be a hypersurface in the (n+1)-dimensional unit sphere without umbilic points. Denote the Mbius metric, the Mbius form, the Blaschke form and the Mbius second fundamental form of x by G,Ф, A and B, repcectively, which are Mbius invariants in Mbius differential geometry.

设x： M→S(上标 n+1)(n≥3)是n+1-维单位球中的无脐点超曲面，Mbius不变量G，Ф，A和B分别表示x的Mbius度量，Mbius形式，Blaschke形式和Mbius第二基本形式。

This paper estimated the return rate of human capital and main influencing factor in China in 1990 and 2000 based on classical Mincer income equation and variables of education,experience and region,and made the basic judgment about characteristic of human capital in our country.

以经典Mincer收入方程为基础，通过引入教育、经验与区域变量，对1990年和2000年我国人力资本收益率及其影响因素进行估计，形成了关于我国人力资本发展阶段特征的基本判断。

The nonlinear magnetoelastic kinetic equations, the electrodynamics equations and the expressions of Lorentz force of thin current-carrying plate under the action of the coupled field are given. The normal Cauchy form nonlinear differential equations, which include ten basic unknown functions in all, are obtained by means of variable replacement.

该文在给出载流薄板在耦合场作用下的磁弹性非线性运动方程、电动力学方程和洛仑兹力表达式的基础上，通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西型。

In this paper, we made a specification on the random variables of utility function with Odd I Larsen's research results, also chose a logit discrete choice model for estimation of Norwegian data, and got the relationship between private car use and costs.

本文采用了基本的微观经济学的消费者效用最大化理论作为模型的基础，在效用函数的随机变量部分采用了挪威莫尔德大学的Odd I Larsen 教授等的计算方法，并采取了logit 离散选择假设，对挪威的汽车消费数据进行了估算，得出了关于挪威汽车消费与汽车费用关系的一些有价值的结论，并推出了相关的政策建议。

In this algorithm, the variable vector corresponding to one arbitrary point in the pre-sampling set initializes the reduced basis space.

其基本做法就是，在参数空间预采样的基础上，从某个预采样样本点开始，把该点作为第一个样本点，把其对应的场变量向量作为第一个基向量对其他的预采样点进行减基近似。

Furthermore, buckling effect factors and their influence law are exploited. Finally, combining the character of piles foundation with high bridge piers with engineering practice, four optimal mathematic models are proposed and flow diagram of optimization analysis is fulfilled by the computer optimum program. A numerical example is analyzed to get optimal solution by using this program. Meanwhile based on the optimal model with buckling coefficient as the objective function, parameter variables are discussed about their effect rule toward the optimal value of objective function.

最后，针对高桥墩桩基础的特点，在基本优化模型的基础上，根据不同的目标函数建立了相应的优化模型，给出优化设计算法流程图，编制了相应的优化计算程序；并根据高桥墩桩基的工程实际设计了一个数值算例，采用本文编制的优化计算程序对该结构进行优化，得到了优化后的最优解；同时，采用高桥墩桩基屈曲系数作为目标函数的优化模型进行因素分析，初步探讨了参数变量对目标函数最优值的影响规律和程度。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。