查询词典 three-body problem

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

The finite-element method can be regarded as an extension of the displacement method to two-and-three-dimensional continuum problem.

有限单元法可以看作是位移法对二维和三维连续体问题的推广。

Bsed on these results, the contributions of the three mathematicians are fairly judged and commented on, thus the evolvement and development of the Continuum Problem can correctly be understood.

历史地看待3位数学家的贡献有助於做出公允的评判，从而对连续统问题的演化和发展有一个正确地认识。

In Chapter 7, a controllability problem for a three dimensional parabolic control system with nonlinear boundary is discussed.

本文的第七章研究了柱坐标系下的三维热传导方程的非线性边界控制系统的能控性问题。

This text thinks, toing make the local government come out the predicament that system set up, shoulding emphasize from three commence namely:The local government should implement to produce the power working talent ownly, setting up with the system the diversification that promote produce the power, and pass to produce the power protect, resolving the motive of the tiny view corpus encourage the problem;To systemize the stipulation norm is central and creative relation in local system;Withdraw the market working talent realm, realize the type of 范 that system set up convert, such as reasonable boundary that contracts public economic market front, clear and definite government working talent with relax control etc..

本文认为，要使地方政府走出制度创新的困境，应着重从三个方面入手，即：地方政府应履行自己的产权职能，以制度创新促进产权的多元化，并通过产权保护，解决微观主体的动力激励问题；以制度化约束规范中央与地方的制度创新关系；退出市场职能领域，实现制度创新的范式转换，如收缩公有经济的市场战线、明确政府职能的合理边界和放松管制等。

This algorithm is proposed on the basis of the thought as follovvs: as for three dimensional Euclid space, the feasible region of any linear programming problem is a extended convex polyhedron, of which surface is consisted of some planes, and its objective function can be regarded as a parallel plane pencil with objective function value acting as parameter.

如果线性规划问题有最优解，那么过可行域的一已知顶点必至少存在这样一条棱——它以该己知顶点为一端点，可行域的另一顶点为另一端点，并使目标函数在另一端点的函数值优于己知端点的函数值，否则，该己知点就是线性规划问题的最优解。

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

The main task of this thesis is to probe into the problem of the correspondence between units of translation and their TL equivalents, and it recognizes three categories of corresponding relations.

在翻译实践中，翻译单位的选择往往要受到各种因素的影响，其中最主要的因素是原文意义和译语的规范。

As a result, it shows thatthe static or dynamic subsystem optimum alone is not equal to the system optimum. Three initial value problems met in the optimal design of flying vehicle are studied andconclusions are derived that: orthogonal test method can be adopted to decide the initial valueof static optimization problem, some mathematical techniques can be used to deal with thecostate variables of Maximum Principle and decide the initial value of the costate variable,the indirect method can be used to get the analytical solution under ideal case to guide thechoice of the initial control curve in the direct method. With some numerical examples oftrajectory optimization, it shows that all these methods are useful not only in accelerating theconvergence but also in converging to the global optimum.

针对飞行器优化设计中的三种初始值问题进行了研究，以远程弹道导弹弹道的工程优化为例说明，对于静态优化问题，采用正交试验法选取初始值，不仅可以大大加快收敛的速度，而且更有可能收敛到全局最优解；以气动力辅助变轨问题为例说明，用共态变量的一阶泰勒级数展开可以解决极大值原理中共态变量初值难于确定的问题；以二级弹道导弹的主动段弹道优化为例说明，利用间接法在理想情况下得到的解析解来指导直接法初始控制曲线的选择，将大大有利于提高直接法的收敛速度。

In chapter three, the author analyzes the effect of the admission which is the core of the problem of admission. First of all, introduce the common effects in the general proceeding, and then, analyzes some problems such as the restriction and the countermand of the admission which are not regulated in our country.

第三章分析了自认规则的核心内容即自认的效力，首先介绍了经普遍认同的自认在诉讼程序中的一般效力，接着对我国立法并未明确规定的自认效力的限制和自认的撤销等问题进行了分析。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。