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Chapter 2 converts the solutions of saddle point problems in Hilbert spaces intothe equilibrium points of some dynamic system by means of the projection method,and gives some conditions of global asymptotic stability by extending the LaSalleinvariance principle to Hilbert spaces.

第三章把约束鞍点问题转化为等价的无约束问题,然后利用投影法构造了一个神经网络模型进行求解,并利用第二章结论证明了在适当条件下,模型大范围收敛于问题的精确解。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有:为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题,提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式;系统建立了摩擦约束弹塑性问题的Hilbert函数空间,使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算;利用Lagrange乘子,从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性,它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础;从变分不等式的角度出发,阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论,首次提出了在应力相容性条件下,它的有限元解具有存在唯一性,进而讨论了其有限元近似及离散解法;基于摩擦约束弹塑性广义变分不等式原理,首次提出了直接广义变分不等式方法,这一方法是直接变分法的合理推广和发展;利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算,验证了该理论和数值算法的正确性、实用性、精确性和优越性。

Obtaining a better algorithm for solving the Traveling Salesman Problem by applying Hungarian method of assignment problem to it and by adding largely positive numbers in place on a matrix to construct the efficiency matrices .

将指派问题的匈牙利解法用于货郎担问题,通过恰当地添加大正数构造效率矩阵,得到了计算货郎担问题较快的算法。

Think, the traditional economics research about human problem is more the ground is the premise that regards research as economic problem, new system economics revised the human hypothesis point of view in traditional economics afresh, undertook immediateness real research more to human problem, and as a result of,be in charge of criterion of a Confucian school of idealist philosophy of the Song and Ming Dynasties its core problem -- the management to the person, accordingly, its formed management to learn the serious content of research to the research itself of human problem.

认为,传统经济学有关人性新问题的探究更多地是作为探究经济新问题的前提,新制度经济学则重新修正了传统经济学中的人性假设观点,对人性新问题进行了更接近现实的探究,而管理学则由于其核心新问题——对人的管理,因此,其对人性新问题的探究本身就构成了管理学探究的重要内容。

It is applied to not only radiant imperilment comprehensive evaluation problems,but also other similar decision making problems in military,economy and real life.

由于辐射源威胁等级判定问题实际上是一类多属性评价问题,因此解决这类问题的关键是目标权重的确定。

Since radiant imperilment grade evaluations is a type of multiattribute decision makings, so the key to solve them is determination of weights.

由于辐射源威胁等级判定问题实际上是一类多属性评价问题,因此解决这类问题的关键是目标权重的确定。

The layout scheme design of spacecraft vessel belongs to 3D packing problem with behavioral constraints, and it is also a complex engineering system problems with inscrutability, uncertainty, high nonlinearity, quality and quantity. It is almost impossible to solve it completely by human or computer alone.

航天器舱布局方案优化设计属带性能约束的三维布局优化问题,属具有不确定性、高度非线性、既有定性又有定量问题的复杂工程系统问题,单纯依靠人或计算机算法去解决都是非常困难的。1991年Lenat、Feigenbaum提出的人机合作(Man-Machine Synergy)和同年钱学森、戴汝为等提出的人机结合(Human-Machine Cooperation)思想和方法论,被认为是21世纪解决复杂工程问题的重要途径、自动化设计的重要发展方向,但其可操作性问题一直未很好解决。

New boundary integral equations for the torsion problem of an isotropic bar with curvilinear cracks are derived by using integration by parts and other techniques to the traditional boundary integral formulations. And the boundary integral equations for the torsion problem of an anisotropic bar with curvilinear cracks are also derived by using the isotropicalized boundary element method. Then the anisotropic problem can be solved on the base of the boundary element method of isotropic problem.

然后用各向同性化方法,将各向异性材料裂纹柱体的扭转问题转化为各向同性材料的问题,在各向同性材料裂纹柱体扭转问题的新的边界积分方程的基础上,推导出了适用于各向异性材料裂纹柱体扭转问题的边界积分方程,然后按已推导出的各向同性问题的边界元法求解。

Knapsack problem is a famous NPC problem, there is no effective method to solve this question at present.

背包问题是一个NP 完全问题,目前还没有解决这一问题的非常有效的方法。

Furthermore, the problem of coupled piezothermoelastic response of a piezoelectric cylinder of crystal class 6mm is investigated. Analytical solutions for this problem are successfully obtained by using Bessel-Fourier series expansion and Laplace transform. These solutions are helpful for study of the influence of coupling on the distribution of stresses, displacements, electric potential and other quantities as well as the role of inertia term.

研究了热电材料圆柱的瞬态压电热弹性响应问题,应用Bessel-Fourier级数展开和拉氏变换方法成功地求得了该问题的解析解,此解有助于研究瞬态响应问题中耦合效应对应力、位移和电势等物理量分布的影响以及惯性项的作用等问题。

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Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势,并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。

This dramatic range, steeper than the Himalayas, is the upturned rim of the eastern edge of Tibet, a plateau that has risen to 5 km in response to the slow but un stoppable collision of India with Asia that began about 55 million years ago and which continues unabated today.

这一引人注目的地域范围,比喜马拉雅山更加陡峭,是处于西藏东部边缘的朝上翻的边框地带。响应启始于约5500万年前的、缓慢的但却不可阻挡的印度与亚洲地壳板块碰撞,高原已上升至五千米,这种碰撞持续至今,毫无衰退。