查询词典 infinite set

In this dissertation, the best simultaneous approximation with weight to infinite sequence from simultaneous-suns in complex normed linear space is considered, and in the case when the weight satisfies a certain condition, the characterizations of approximation from a simultaneous-sun and uniqueness of approximation from a RS-set are obtained; moreover, in the case when the weight is free, the characterizations of approximation to a totally bounded sequence from a convex set are established.

本文在复赋范空间中研究了同时太阳集对无限序列的加权同时逼近问题，在权满足一定条件时，通过把所研究问题转化为连续向量值函数空间中相应集对一个上半连续函数的最佳逼近问题，得到了逼近的特征和RS集逼近的唯一性定理，有例表明它们是已有结果的本质推广；在权不受限制时，得到了凸集对全有界序列逼近的特征。

Through the analysis of the second power Cartesian product of natural number set N——N×N and the thirdpower Cartesian product of natural number set N——N×N×N,obtains the conclusion that they all have the bijective relation to natural number set N,it means that the set N×N and the set N×N×N are all countably infinite.

通过对自然数集合N的二次笛卡尔积运算———N×N和三次笛卡尔积运算———N×N×N的详细分析，得出了它们与自然数集合N之间都存在双射关系结论，即集合N×N和集合N×N×N都是可数无穷的。

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。

Infinite-dimensional optimization studies the case when the set of feasible solutions is a subset of an infinite- dimensional space, such as a space of functions.

组合优化问题是有关的一套可行的解决办法是离散或可归结为一个独立的一个。

The study of exceptional set has a history of half a century. In reference (2), Lento extended the famous Picard Theorem and Presented the concept of exceptional set of entire functions and meromorphic functions. And the exceptional set in his result was an infinite sequence of complex numbers.

例外集问题的研究，已有半个世纪的历史，在文献〔2〕中，Lehto推广了著名的Picard定理，并首次提出例外集的概念，在他的结论中，例外集为一无穷复数序列。

In unusual cases, a confidence set may consist of a collection of several separate intervals, which may include semi-infinite intervals, and it is possible that an outcome of a confidence-interval calculation could be the set of all values from minus infinity to plus infinity.

在个别情况下，一个置信系列可以由一系列的多个单独区间组成，其中可能包括半无穷区间。这种情况下，一个置信区间的结果值有可能会是这一系列值当中的一个。

From the defects in the basic theory of present classical infinite theory, the essential relationship between Russell's Paradox and Cantor's proof on the uncountability of real number set and the proof on the Cantor's Theorem of is analyzed and a mysterious error is found:The core of Cantor's above two important proofs in set theory are actually another versions of Russell's paradox and the very same paradoxical idea was applied in both Russell and Cantor's work, and Cantor made wrong use of this paradox idea with two logical mistakes.

从经典无穷理论体系中的缺陷入手，深入分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托在这两个证明里的核心部分实际上是罗素悖论的翻版，它们与罗素悖论有完全相同的思路，并且康托犯了两个逻辑性错误而误用了这个悖论思路。

Shenzhen Lanson Security Technology Co., Ltd. adhere to the "people-oriented, and grow together" the concept of corporate culture, set up a modern enterprise operation mechanism, a set of sound, scientific and rational management system for employees, employees for the company;"Qinxue , innovative, efficient, pragmatic, and harmony "have become the company's common code of conduct, has stimulated enormous company-wide staff work hard to create enthusiasm and momentum to move forward infinite, Lanson companies are moving the scale, efficiency, development of fast-growing brand.

深圳市朗松安防科技有限公司坚持&以人为本，共同成长&的企业文化理念，建立了现代企业的运行机制，有一套完善、科学、合理的管理制度，公司为员工，员工为公司；&勤学、创新、高效、务实、和谐&成为公司的共同行为准则，激发起全公司员工巨大的创造热情和奋发前进的无穷动力，朗松公司正在朝着规模、效益、品牌优势快速成长发展。

"The idea behind Dedekind cuts is that a real number x can be named by giving an infinite set of rationals, namely all the rationals less than x .

Enderton (p.113)形容了这个描述：戴德金分割背后的想法，是每一个实数 x 都可以用一个有理数的无穷集合，也就是所有小于 x 的有理数来命名。

Enderton (p.113)形容了这个描述:The idea behind Dedekind cuts is that a real number x can be named by giving an infinite set of rationals, namely all the rationals less than x .

&（&戴德金切割背后的想法，是每一个实数 x 都可以用一个有理数的无穷集合，也就是所有小于 x 的有理数来命名。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。