一致收敛的

This passeage discusses the sequence of cauchy criterion function limit, the convergence of cauchy criterion, the convergence of the series, the function of cauchy criterion listed uniform convergence of cauchy criterion function series, uniform convergence of cauchy criterion, plane of cauchy criterion, some abnormal integral parameter uniform convergence of cauchy criterion and summarized and proof, and through a lot of sample reflected their status and role.

马上要交论文了，摘要不晓得如何翻译，现在请诸位高人帮助翻译1下，不能在线翻译哦，高悬赏~~~~~~感谢本文主要论述了数列地柯西收敛准则，函数极限存在的柯西准则，级数收敛的柯西准则，函数列一致收敛的柯西准则，函数项级数一致收敛的柯西准则，平面点列的柯西准则，含参量非正常积分一致收敛的柯西准则的应用并进行了总结和证明，并通过大量的例题体现了它们的地位和作用。

In this paper, the major factors which have effects on the numerical convergence includ the inner distance of the sources submersed into the body surface, the distance moved upward above the mean free-surface, the computing range of free surface, and the collocation point interval.

本文选取足够的自由面计算范围和边界配置点数量，讨论了物面内潜深度和自由面上提升高度对计算结果收敛的影响，并建议了内潜距离的计算表达式，获得了一致收敛的数值解。

Furthermore,we obtain a sufficient and necessary condition about continuity of functional series and integral with parameter,and show the sufficient condition about differential .

将数学分析中一致收敛性的概念加以推广，分别对函数项级数和含参量积分引入次一致收敛的概念，证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件，推广了数学分析中的相应结

Suppose C is a Graph with k loops andf: G 梸- G is a continuous map with at least a peri- odic point. We prove the following three conditions are equivalent:(1) f is equicontinuous;(2) One of the following End + 2k + 1 conditions holds: in FJm.~0(E~+2L!= flJ1,m = l,2,挃,End J=1 + 2k; 1 0 = flf is a ioop on Gandf I~:0?- 0 is conjugate j=1 to a rational rotation;(3) One of the following End + 2k + 1 conditions holds: k m Lfl.m/~oE~(G+2i!~ is uniformly convergent, m = 1,2,,End+2k; n There is a poistive integer number n,~~~ is uniformly convergent.

假设G是含有k个圈的图，f是G到自身上的连续映射，并且至少有一个周期点，我们证明了下列三条陈述是等价的：（1）f是等度连续的；（2）下列End+2k+1个条件之一成立： m）F l）O=是G的一个圈，且fl_o：O→O共轭于一个有理旋转；（3）下列End+2k+1个条件之一成立： m）是一致收敛的，m=1，2，…，End+2k； l）存在某个正整数n，是一致收敛的。

In these areas, the uniform convergence concepts play an important role.

在这些方面，一致收敛的概念起着重要的作用。

The convergence of the traditional nonlinear equations is related to the selected initial value, but the convergence of the fixed point method is not related to it.

传统的非线性有限元方程组的数值求解法（牛顿-拉普森迭代法与共轭梯度法）只能求解单值性有限元方程，且其收敛行为与初始值的选择有关，而不动点方法在求解非线性方程组时的收敛行为不受初始值选择的影响，在大范围内是一致收敛的。

From the definition of uniform convergence of function sequence ,another form of definition discriminating is obtained.

从函数列一致收敛的定义出发，得出了定义判别法的另一种形式。

And discussed the continuity and integrability of *uniform convergence sequence of function limit function.

并讨论了*一致收敛的函数列极限函数的连续性与可积性。

Through this method for judging the uniform convergence, later, discriminate functions meet function series and parameter improper integral. We uniform convergence problem can be given according to the problems in accordance with the terms of this list, choose the proper, concise method are verified.

通过本文对判别一致收敛方法的总结，以后遇到判别函数列、函数项级数以及含参量反常积分一致收敛的问题时可以根据问题所给的条件再依照本文所罗列的方法，选用适当的、简洁的方法进行证明。

Then, which of the convergent plate elements are convergent uniformly with respect to the parameter ε?

那么，哪些板元对奇异摄动问题关于参数ε是一致收敛的哪？

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。