查询词典 infinite point

Utilizing the approach of the theory of elasticity and mechanics of materials, the plane and antiplane problems of interactions among multiple line inclusions, line inclusion and line crack, and line inclusion and circular inclusion in infinite plane have been studied systematically from the fracture mechanics point of view in this thesis.

本文使用弹性力学与材料力学相结合的方法，对无限平面上多根线夹杂、线夹杂与线裂纹及线夹杂与圆夹杂相互作用的平面与反平面问题，从断裂力学的角度作了系统研究。

The paper studies the asymptotic behavior of "interior point" on the second mean value theorem for integrals when the length of integral interval tends to be infinite,and the asymptotic estimation formulas under very weak conditions are given.

讨论当积分区间长度趋于无穷大时，积分第二中值定理的"中间点"的渐近性态，在较弱的条件下，获得积分第二中值定理的"中间点"当积分区间长度趋于无穷大时的渐近估计式。

This result can best be viewed as a quantum black hole version of the third law of thermodynamics. As a result of this area spectrum, the spectrum of M is discrete, bounded below, and can be made positive. Prom the physical point of view, the semiboundedness and positivity of the spectrum are very satisfying results: The semi-boundedness of the spectrum implies that one cannot extract an infinite amount of energy from the system, whereas the positivity of the spectrum is in agreement with the well-known positive-energy theorems of general relativity.

同时根据EMDA黑洞动力学，存在与面积谱对应的大于零且有下界的质量离散谱，从物理上来看，质量谱的半有界性意味着不可能从系统吸取无限的能量，而正定性则与广义相对论中的正能定理一致，也就说稳态轴对称EMDA时空的ADM能量总是大于零。

I was intend to have a "4" in my upper, but it turns out to be something close to "infinite symbol" or a tilted "8". The black upper fits me great especially make my foot looks longer. The basic idea comes from converse wade OX, the shoe has an all black upper instead of its toe box, the only weak point is its lack of support. That's the reason why I have bracelet all over my concept rendering.

我个人很偏好Converse wade OX 的设计，整双鞋除了鞋头外都是黑色的，配上NIKE黑袜就是有一种杀气(也可以修饰我脚短：kenlu_2：)，唯一美中不足的是保护不够，所以加了类似绷带的白色粗线条在鞋身上，这整个想法都还很粗陋，我只是想用手边的工具努力的表达我脑中的想法，如有伤眼还请多多包涵：kenlu_3

Since bounded closed sets in infinite dimensional space are notcompact generally,in order to employ Horn's fixed point theorem the compactness of operator Pis initially proved in section 3 in this chapter.

由于无限维空间的有界闭集一般不具备紧性，为了应用Horn不动点定理，我们先证明了Poincare算子P的紧性。

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。

In chapter 3,we focus our re-search on the property of random Dirichlet series converging only in the righthalf-plane,and come to the precise result in the aspect of the Borel point'sdistribution of random Dirichlet series of infinite order.

第三章给出了只在右半平面上收敛的随机Dirichlet级数的一些性质。关于无穷级随机Dirichlet级数在虚轴上的Borel点分布情况，取得了精确的结果。

I know ,but infinite compunctions embitter in mature life the remembrances of budding joy,and cober every beloved name ,Every thing is beautiful seen from the point of the intellect ,or as truth,But all is sour,if ween as experience.

我明白。成年以后无限的悔恨会使得对青春欢乐的回忆更加痛苦，也掩盖了每一个至爱的姓名。一切事物，当它们从思想的角度看或是作为真理时，都是美好的。然而，若是将其视为经历，则全是苦涩的。

To obtain quadratical convergence, however, strict complementarity condition at the Danskin point was used. The condition is too strict to be satisfied in many practical problems such as discrete semi-infinite minimax problem. Another kind of Newton method for finite minimax problems was presented by E. Polak and, without strict complementarity at the Danskin point, superlinear convergence (of order 3/2) was proven.

Polak等人提出了一种直接求解极大极小问题的二阶收敛的牛顿法，但是为获得二阶收敛速度要求在Danskin点处满足严格互补条件，这个条件太强，很多实际问题尤其是半无限极大极小问题的离散化不满足该条件；他们又给出另外一种牛顿法，在不假设严格互补条件成立的情况下，证明了它的超线性（3/2阶）收敛性。

Are countable sets:Λ-Γ,〓-Γ are either empty or countably infinite, where Γ denotes the set of γ-limit points of f; tree map's depth of attracting center is finite and the attracting center is Γ provded all the branching points are periodic points. In chapter Ⅲ. we discuss certain relationship between isolated chain recurrent point and eventually periodic point of some continua.

主要利用树的特殊偏序关系证明了：不在周期点集闭包中的ω极限点都有无限轨迹；Ω-〓，Ω-Γ为可数集，Λ-Γ，〓-Γ或为空集或可数无限，其中Γ为f的γ极限点集；当分支点都是周期点时，连续树映射的吸引中心深度有限，且吸引中心就是Γ。

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。