混合的问题

Firstly establishing mechanical model of casing structure , and then processing casing forces analysis using space finite-element method and superposition method(put structure stress and outer force stress together), it computes the stress of casing in three dimensions, and gets the internal force and transmutation. The structure of casing-coadjutor is computed overlaply and the question of contact is solved. In the aspect of design, it provides the mixed integer-discrete variable optimization method of casing cross section size and coadjutor layout.

本文就上述两个问题的最优化设计展开研究，首先建立了套管结构的力学模型，进行套管的受力分析，用了空间有限元法和叠加法(结构应力和外载应力相叠加)，对套管进行三维计算，确定结构的内力和变形，对套管—扶正器结构进行整体的叠代计算，解决接触问题；在设计方面，提出了解决套管截面尺寸参数和扶正器布局的混合整数—离散变量优化方法。

A multi-objective non-linear mixed integer programming is developed to minimize the production cycle and delivery period as well as the average cost of the supply chain.

本文建立了该问题的多目标非线性混合整数规划模型，并提出了求解该问题的帕累托最优解集的方法。

In this paper, no-wait flow shops scheduling problems for a mixed discrete particle swarm optimization, through the establishment of the location of the vector encoding and scheduling program of mapping relations between the continuous particle swarm optimization algorithm is applied to discrete no-wait flow shops scheduling problem.

针对无等待流水线调度问题提出了一种混合离散化粒子群优化算法。通过建立位置矢量编码与调度方案之间的映射关系将连续的粒子群优化算法应用于离散的无等待流水线工件调度问题。

Due to the discreteness of transformer taps and the switching of shunt capacitance/reactance banks, the rigorous reactive power optimization is the problem of Mixed-Integer Nonlinear Programming involving both discrete and continuous variables.

在电力系统无功优化过程中，由于有载调压变压器分接头的存在和补偿电容／电抗器分组投切的离散特性，使得严格意义上的无功优化问题成为一个离散变量和连续变量共存的混合整数非线性规划(Mixed-Integer Nonlinear Programming，MINLP)问题。

In order to resolve these problems, the author discusses the application of Chang Xiangyu School's mixed-voice singing skill, which is a combination of unfalssetto and falsetto. That will be of historical and practical significance for the inheritance of national cultural legacy and the healthy development of national vocal music.

如何解决这些问题，笔者主要谈到借鉴我国传统音乐中戏曲艺术——常派混合声唱法，也就是真、假声结合唱法中的演唱技巧，来解决我国民族声乐艺术中存在的一些问题，这对于促进我国民族声乐艺术的健康发展和继承优秀的民族文化遗产，都具有深远的历史意义和重要的现实意义。

At first, basing on the boundary value problem concerned with fluid-composite structure interaction and characteristic of acoustic wave radiation, a generalized Hamilton variational principle is derived, and the equations of motion based on the finite element method is also derived.

首先，从复合结构与流体相互作用问题的有关混合边值问题出发，针对声波辐射特点，推导了一种广义形式的Hamilton原理及有限元形式的运动方程。

A mixed iterative method for 3-D frictional contact problems is proposed based on a combination of the iterative method and the fixed point method.

利用迭代法与不动点算法相结合给出了三维摩擦接触问题的一种混合迭代算法，克服了三维问题在接触面上因有无穷多个可能的滑动状态而无法确定带来的困难。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

Study on local extremum of object function in mutual information-based image registration;2. The difficulty of optimization caused by local extremum is the key problem of the algorithm.

由局部极值导致的寻优困难是困扰该算法的核心问题，混合优化算法成功地解决了互信息函数的寻优问题，但延长了配准时间。

An 1-D sediment mathematic model is developed in the second part. Techniques are suggested for some problems in calculations, such as the effective suspended load carrying capacity of the different bed material reach, the coefficient of suspended load carrying capacity, the recovering coefficient of the carrying capacity, the thickness of the mixed layer, the transport width of the bedload, bifurcation and confluence of main and branch channel, and the distribution of deposition and erosion along the cross section, etc. The numerical scheme of 1-D model is induced.

第二部分建立了一维泥沙数学模型，对计算中的几个关键问题提出了处理方法，如不同床沙组成河段的有效挟沙力、挟沙力系数、挟沙力的恢复饱和系数、床面混合层厚度、推移质输移带宽度、干支流入汇及分流问题、横断面冲淤形态及断面修正方法，导出了一维模型的差分格式。

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。