查询词典 intersection theorems

Direct and inverse theorems of approximation by this kind of operators are discussed, and the Jackson—type integral estimation of approximation and Steckin — Marchaud inequality of weak type of uniform approximation for these operators are obtained.

讨论了一元Bernstein型算子的逼近正逆定理，建立了该算子逼近的Jackson型积分估计式和一致逼近的弱Steckin-Marchaud型不等式。

For instance, we obtained the existence and uniqueness theorem and several judgement theorems on stability and instability for several types of nonlinear singular systems. Using Z-transformation, we estabilished the response formula of discrete singular systems with delay, and obtained the sufficient and necessary condition of rearchability.

如我们得到了某些非线性广义系统解的存在唯一性定理，及稳定与渐近稳定的判据；利用Z变换方法，得到了滞后离散广义系统的一般响应公式，进而得到了局部可达与局部能控的充要条件等。

This paper using complex analyis and functional analysis,studies spirallike mappings on unit ball in several complex variables,and obtains the growth and covering theorems about a kind of spirallike mappings with zero of higher order.

以复分析与泛函分析为工具，研究多复变数单位球上的螺形映照，给出了一类螺形映照的高阶零点形式的增长和掩盖定理。

By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.

应用局部凸H－空间内具有闭零调值的上半连续集值映象的Fan－Glicksberg型不动点定理和极大化定理，对无限最优化总理2和约束对策问题在没有线性结构的局部凸H－空间内证明了解的某些新的存在定理，这些定理改进和推广了最近文献中的许多重要结果。

In 1925, R. Nevanlinna established two fundamental theorems of meromorphic functions and the study of the value distribution theory of modern times started.

Nevanlinna建立了亚纯函数的两个基本定理，开始了值分布理论的近代研究。

First, the Lyapunov functional and variation of constants method are adopted to study the effect that Sigmoid function and the relation of resistance, capacitance and current in Hopfield neural networks have on the stability of networks. The stability criterion constructed by physics parameters is obtained. Thus how the constrained relation of physics parameters affects the stability of Hopfielf neural networks is clear. Based on the study above, the perturbation model of recurrent neural networks is constructed. And the theorems of the existence of solution of perturbation model are presented.

首先，采用Lyapunov泛函法和常数变易法研究Hopfield神经网络中给出的电阻、电容、电流之间的关系以及Sigmoid函数对网络稳定性的影响规律，得出仅由物理模型参数构成的稳定性判据，从而弄清物理模型参数约束关系对Hopfield神经网络稳定性所起的作用，在此基础上，构建了递归神经网络的扰动模型，并通过讨论扰动模型解的存在性问题，给出递归神经网络扰动模型解的存在性定理。

Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微

On what special subject of the theorems and topics does your desire for vocality seem to be connected with?

'你想作的演讲是不是牵涉到某些特殊的定理和主题？

Comparing with the indexes of PR and PRE priority discipline queuing systems with service interruptions, we obtain some weak limit theorems for the workload and queuing length processes.

通过对比PR优先原则下和PRE优先原则下的服务中断排队系统的相应指标，获得了负荷和队长过程的弱极限定理。

In spite of the very close affinity between the variational theorems and the principle of virtual work, the study of the former is worth-while

尽管变分定理与虚功原理之间有很紧密的相似关系，然而对前者的研究仍然是有价值的。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。