无穷集

Several strong results on neural network approximation capability obtained in this dissertation are important in the approximation theory and applications of neural networks.

本文系统地研究了多层神经网络的非线性逼近能力，给出了多层网络可一致逼近有限维空间R〓紧集上的连续函数、无穷维函数空间紧集上的连续泛函和连续算子以及布尔函数的理论证明。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性，〓数乘收敛级数的全程不变性，有基空间中的〓数乘收敛级数，无穷矩阵拓扑代数〓中的紧集，〓在不同拓扑下具有相同紧集的刻划，〓的弱序列完备性，Schur—矩阵的刻划，p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

Almost defference sets have strong relationship with binary sequences with optimal 3-level autocorrelation, which are of significant applied bachground. We constructed 2 new infinite families of almost difference sets by using cyclotomy; Perfect binary sequences and perfect binary sequences pairs are of significant theoretical value and applied background, they correspond to cycle Hadamard matrices and difference sets pairs respectively.

几乎差集与具有最优3级自相关二元序列密切相关，具有强烈的应用背景，我们借助分圆方法构造了几乎差集的两个新的无穷类；最佳二进序列和最佳二进序列偶有着重要的理论价值和应用背景，它们分别对应着循环Hadamard矩阵和差集偶。

By using them, we can discuss the theory of holomorphic functions on domains: the characterization of zeros sets of holomorphic functions on the boundary, the characterization of A infinity interpolation sets on the boundary, etc.

对于复椭球和广义复椭球，我们给出了其全纯支撑函数的估计，构造了边界上的拟距离，并用这些结果来研究域上的解析函数论：边界上解析函数零点集的刻划，A无穷插值集的刻划等。

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。

Spirit expressions, which are combinations of primitives and composites yield an infinite set of new types.

Spirit的表达式，这个元素和复合物的混合体导致了一个新类型的无穷集。

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.

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。

Of or relating to a set capable of being put into one - to - one correspondence with a proper subset of itself.

无穷集的能与自身的一个子集发生一一对应的集的，与其有关的我必须处理积压的工作和信件。

Of or relating to a set capable of being put into one-to-one correspondence with a proper subset of itself.

无穷集的能与自身的一个子集发生一一对应的集的，与其有关的

M, y Of or relating to a set capable of being put into one-to-one correspondence with a proper subset of itself.

无穷集的能与自身的一个子集发生一一对应的集的，与其有关的

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。