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In terms of subshifts of finite type determined by an irreducible marrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical.

指出对于由不可约方阵所决定的符号空间有限型子转移而言,或紧致交换群的仿射变换及树上连续自映射而言,拓扑遍历与拓扑可迁这两个概念是一致的。

This paper investigates the absolute convergence of the Fourier Laplace series concerning of some smooth functions defined on the unit sphere in R n,hereinto shows that:if f is 2([n4]+1) th continuously differentiable function on H r P,then the series ∑∞k=0Y kf converges uniformly to f.

讨论了n 维球面上某些可微函数类的Fourier Laplace级数的绝对收敛性,其中指出:设f是Hrp上 2 ( [n4 ]+1)次连续可微函数,则级数∑∞k =0 Ykf一致收敛到f参

Proposed in the paper are the ordered monotony property of MFNNs when the transfer function is monotone, the continuous mapping theorem, and non approximation theorem to function.

给出了单调传递函数的 MFNNs按序单调特性、连续映射定理以及非函数一致逼近定理。

If each term of the series u1+u2+…un+…is continuous on the interval[a,b], and this series is uniformly convergent on[a,b], then its sum function is also continuous on [a,b].

若级数u1+u2+…un+…的每一项在[a,b]上连续,而且这级数在[a,b]上一致收敛,则它的和函数也在[a,b]上连续

Second, we prove that consensus value of continuous time-invariant systems converges globally asymptotically to the convex combination of initial states, thus, determining the consensus value of the non-balanced topology.

对于多智能体网络连续系统,该系统的一致平衡点最终收敛于初始状态的凸组合,本文最终确定了非平衡拓扑结构的一致平衡点。

Consisting of 3 Chapters, the Paper mainly includes the following contents: Chapter 1 of Introduct on presents the significance of extending uniform boundedness principle and elso reviews one hundred years development of uniform boundedness principle iind the work done by people in this aspect; Chapter 2 mainly introduce some preparatory knowledge including definitions of dissecting operators, absorbing operators, equicontinuity and some relative examples; In Chapter 3, We discuss the new researching results of equicontinuity principle,uniform boundedness principle and Banach-Steinhaus type theorem .

本文共分三章,主要内容如下:在第一章绪论中说明了推广一致有界原理的意义;回顾了已知一致有界原理一百多年来的发展及人们在此方面所做的工作。在第二章中主要介绍了一些预备知识,其中包括:解剖算子、吸收算子、等度连续的定义并举了一些相关的例子。

This thesis firstly defines the uniform integrability and absolute continuity of fuzzy variables, discusses their relationships, and provides an approach to checking the uniform integrability of fuzzy variables.

本文首先定义模糊变量序列的一致可积和绝对连续,讨论它们之间的关系并且给出判别一致可积的方法。

Theorem 1 If the general term of the series is continuous on .and is unanimous convergent with the sum function on .

定理 1 如果级数的各项在区间上连续,且在区间上一致收敛于,则在上也连续。

Heating the strip in the furnace via great temperature drop in order to reduce the heat time, to decrease the oxid created on the strip face, to unify the heating and the character of the strip and to increase the efficiency of the furnace and low the consumption of energy.

为了提高连续退火炉的生产效率和节能效果,采用较大的温度落差进行加热,以大大地缩短加热时间,减少带钢氧化,使带钢表面受热均匀一致,以保证带钢组织与性能的均匀一致。

In the first place, the normal flexible body dynamics modelling method of continous system is built based on hamilton principle. And then taking the flexible beam tunning in the horizontal plan for example, in the assumption of Euler-Bernoulli beam,the identical linearilized vibration differential equation is deduced according to geometry constraint conditions .

首先基于Hamilton原理建立起一般柔性体连续系统的动力学建模方法,进而以水平面内作大范围回转运动的柔性梁为例,在Eu1er-Bemoulli梁模型的假设前提下,根据轴向不可伸长的柔性梁的几何约束条件,推导出作大范围刚体运动的柔性梁连续系统的一致线性化振动微分方程。

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