查询词典 locally compact mapping

After the boundary integral operator is decomposed into the sum of a monotonous Hammerstein operator and a compact mapping by the Sidi rule, we construct the nonlinear discrete equations.

积分算子被分解成单调的Hammerstein算子和一个紧算子后，运用Sidi求积公式，建立了非线性离散方程组。

Secondly, a projector operator Q is defined in the Lebesgue integrable functions' space Y such that the composition of the inverse operator of L, I-Q and the nonlinear term f is compact, where I is the identity mapping in Y.

然后，在Lebesgue可积函数全体所成的空间Y上定义了投影算子Q，使得L的逆与I-Q及非线性项f的复合是紧算子，其中，I是Y上的恒同算子。

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 this paper, by using fixed point theorems of strict set contraction mapping, we study two kinds of boundary value problems for compact type conditions in Banach spaces.

中文摘要：本文利用严格集压缩映象的不动点定理分别讨论了紧型条件下的两类Banach空间边值问题。

We generalize the concept of the set of variability defined in the unit diskby K.Strebel to general Riemann surfaces and prove that the set of variablity withrespect to the modulo homotopic class of a quasiconformal mapping between twoRiemann surfaces is a compact and connected subset.Consequently the num-ber of the extremal mappings in the modulo homotopic class of a quasiconformalmapping between two general Riemann surfaces is either one or infinity.

Strebel的定义在单位圆上的可变性集合的概念推广到一般Riemann曲面上去，并且证明了Riemann曲面之间的拟共形映射的模边同伦类所确定的可变性集合是一个连通的紧子集，从而得出一般Riemann曲面之间拟共形映射的模边同伦类中的极值映射要么唯一，要么有无穷多个。

By analyzing several currently-used visual displaying schemes for cranes simulation training, a display concept based on enhanced virtuality is proposed and some key issues in it are discussed. Manipulation based human-computer interaction technology is studied and two typical virtual controller are realized by associating the time or the location parameter of modeling with its movement parameters. A implement method of physical controller is presented based on virtual keyboard mapping technology and a compact and flexible control box prototype is obtained. Using it, users can operate the virtual crane conveniently.

分析了目前起重机模拟培训常用的几种视景显示方案，提出了一种基于增强现实的显示概念，并对其中若干问题的实现方法进行了探讨；研究了基于操纵的人机交互技术，通过时间或造型位置与起重机运动参数之间建立的联系，实现了两种典型的虚拟控制器；提出了一种基于虚拟键盘映射技术的物理控制器解决方案，设计了一个小巧、灵活的控制盒原型，可以方便地操作虚拟起重机并实现有关运动。

Based on some results given by K Tan and H K Xu[1] proved, the convergence of three-step iterations of uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space had proved.

引入一致李普希兹的概念，然后在一些已有结果的基础上，证明一致凸Banach空间的紧子集上的一致李普希兹渐进非扩张映射的三步迭代序列的收敛问题。

The concepts of accretive mapping and pseudo-contractive mapping wereintroduced by the studying of nonlinear evolution equations,many significantproblems and engineer problems can be modeled in terms of the form.

中文摘要：增生与伪压缩映射的概念是在研究Banach空间中的非线性方程解的存在性问题时提出的，许多工程和物理学中的问题都可以抽象为上述非线性发展方程。

Meanwhile, important random acute angle principle、theorem of random full mapping and theorem of random one-one mapping are proved.

同时我们证明了重要的随机锐角原理、随机满射定理和随机一一映射定理。

November 6, the Yellow River Hydrographic Survey mapping agency leaders to lead the Working Group on in-depth Henan Xinzheng Air Port 1:1000 topographic map surveyed area, condolences to fighting at the frontline of the mapping team.

11月6日，黄河水文勘察测绘局领导同志带领工作组深入河南新郑航空港区1：1000地形图测区，慰问奋战在一线的测绘队员。

You can buy sweetened beverages, if that suits you.

你若喜欢的话，可以买些含有糖精的混合饮料。

As many of you are probably aware, Nick and Vanessa were recently faced with an embarrasing sex scandal after naked pictures of the two getting jiggy with it in a hot tub surfaced the net.

正如很多你可能知道，尼克和 Vanessa 最近面临一个尴尬的绯闻事件后，赤裸裸的图片两个越来越jiggy与它在浴缸中的一个热点浮现净。