极值的存在

Based on the former chapter, one method based on fundamental matrix and crossrate is proposed in this chapter to render novel image considering the character of fundamental and cross-rate invariant in the perspective project, which utilized the correspondence relationship between the given two images and projective invariant between images to render novel image.

该方法通过将基本矩阵的稳定性求解问题转化为一个有条件的极值求解问题，结合遗传算法良好的全局寻优特点，将该方法很好地引入到基本矩阵的求解中，并取得了良好的实验结果。（5）第五章在上一章的基础上，综合基本矩阵和透视投影中的交比不变性的特点，提出了一种基于基本矩阵和交比的生成新图象的方法，这种利用已知两幅图象之间存在的匹配关系和新图象和已知图象存在的透视不变量，来生成新图象。

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。

And there is an approximate linear relationship between the momentum of the automatic mechanism and the length of the gas tube.

如β=〓与β=〓相比较（β角单位为弧度，其定义详见正文），前者与后者对应的气室最大压力之比可达65%，而对应的自动机动能之比可达60%；导气管内径对气室内气体压力冲量和自动机动能的影响存在极值点，且该极值点随导气孔的增大而有规律的增大；导气管长度对气室最大压力、压力冲量和自动机动能的影响呈单调递减规律，且自动机动量与管道长度之间近似符合一直线关系。

An extremely high temperature of anode humidification is also unreasonable; as a result, when the current density is high, the liquid water should be injected directly into anode gas channel to guarantee both high inlet H〓 concentration and well-humidified membrane. 4. The utilization of Pt in the cathode catalyst layer will decrease with the increasing current density; as a result, based on the principle of maximal Pt utilization, the catalyst layer can be designed much thinner or not uniformly in the catalyst distribution.

而在此截面上，交指型流场燃料电池阳极侧的液态水饱和度的极值位置并不确定；在电池阴极处，液态水饱和度的极值总是出现在z=0.002m处的气体扩散层和膜的界面上，并且该处的液态水饱和度沿x方向存在一个最大值，与此相应的氧气的质量浓度分数在该处达到极小值，因此极限电流密度将首相出现该处，但总体来说液态水饱和度沿x方向的分布较为均匀。4。

Particle swarm optimization algorithm is easy to be trapped into local minima in optimizing multimodal function.

针对利用粒子群优化算法进行多极值点函数优化时，存在陷入局部极小点和搜寻效率低的问题。

Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows:1. The optimization model of parameter identification of three-dimensional geologic history numerical simulation, algorithm and its applicationGeologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil-bearing basin. According to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porositys non-linear parabolic partial differential equation has been established.

本文应用现代最优化及最优控制理论，对如下一些问题进行了研究： 1、三维地史数值模拟的参数辨识优化模型、算法及应用地史模拟是盆地数值模拟的一个基础性的研究内容，地层孔隙度是含油气盆地地史演化发育过程中的重要参数，根据地层沉积埋藏机理和石油地质的物理化学原理，通过引入数学物理方程概念，建立了泥岩三维孔隙度场方程，根据问题的特点，给出了方程的定解条件，对方程的动边界也给出了处理方法，并且证明了解的存在性与惟一性，在此基础上建立了以当今实测数据为拟合准则的三维地史数值模拟的参数辨识优化模型，这是一个含有二阶偏微分方程约束的泛函极值问题。

In the first part, we discuss the properties of solutions of (0.1) system with dif-ferent diffusion coefficient and the second boundary condition. The stability of non-negative constant solutions is given, some prior-estimate of the positive steaystateare proved by using the maximum principle and lower-upper solutions, the non-existence of non-constant positive solution, the global exitence of non-constant pos-itive solution and bifurcation solution of non-constant positive steady-states areobtained.

第一章讨论了系统(0.1)在扩散系数不相同的情况下非负常数解的稳定性，运用极值原理，上下解方法确定了系统(0.1)正平衡态解的一些先验估计，然后讨论了非常数解的不存在性，非常数正平衡态解的全局存在性及非常数正平衡态的分歧解。

The existence and uniqueness of homogeneous elliptic polyharmonic cardinal spline interpolation are proved, the remainder formula and order of approximation in LP (1≤p≤∞)spaces are given, and the extremal problem of sobolev dass in L2 is considered.

获得Rd上齐次椭圆型Cardinal样条插值的存在唯一性，并获得Sobolev类上的函数在Lp（1≤p≤∞）尺度下的插值误差估计，以及Sobolev类在L2尺度下的一些极值问题的解；拓广了Laplace型的结果。

By way of parenthesis, In One-Point Input Method the relation is studied between the response and the correlative coefficient of horizontal and vertical earthquake wave.

提出了基于动剪应力极值的土体损伤值计算方法。以往计算土体在不规则的动剪应力作用下的损伤值根据的是动剪应力的峰值，在时域内多点输入分析中，由于差动力的的存在，使得时程后段动剪应力不穿零而在一侧做幅度不大的波动，基于峰值的损伤值计算特别过高地估计了这段剪应力的破坏作用，过高的程度还随延时增加而增加。

Through this method,the integral gain varies with the average phase shift between tip speed ratio and power coefficient.

针对传统最大功率点追踪极值搜索法固定积分增益存在的不足，依据不同积分系数对系统的影响，提出了一种MPPT变增益极值搜索法，使积分增益随叶尖速比和功率系数之间平均相位移的变化而变化。

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。