大学英语词汇短语释义解析及例句 uniform convergence


释义：

uniform convergence 均匀收敛; 一致收敛：在数学分析中，一种函数序列的收敛性质，指函数序列中的每个函数与极限函数之间的差距在整个定义域内都趋于零。
· The concept of uniform convergence is important in the study of mathematical analysis.
一致收敛的概念在数学分析研究中非常重要。

例句：



Then uniform convergence analysis is carried out for the proposed algorithm.

并对提出的算法做了一致收敛性分析。



Finally, out of uniform convergence of function and function of the nature of class.

最后讨论了一致收敛函数列与函数项级的性质。



More importantly, this method also leads to uniform convergence for layer-adapted meshes.

另外，对于局部加密网格，该方法具有一致收敛性。



Through Weierstrass circle of students the importance of uniform convergence was made known.

通过威阿斯·塔斯周围的学生，人们知道了一致收敛性的重要性。



Several theorems about non-uniform convergence and a few examples were used to explain the application of them.

本文给出了非一致收敛的几个定理 ，并以较多的实例说明它们的应用。



The author also studies the relationship between internally closed uniform bound and internally closed uniform convergence.

在论证过程中充分利用了解析函数的性质，系统推导了内闭一致有界与内闭一致收敛的关系。



The second part is in uniform convergence conditions function series, function and parameter improper integral. We properties.

第二部分是在一致收敛条件下函数列、函数项级数以及含参量反常积分的性质。



A method for making polynomial train is given, and the uniform convergence of the train is proved by means of analysis method.

给出了构造多项式序列的一种方法，并采用分析的方法证明该序列的一致收敛性。



Continuity, uniform continuity, uniform convergence and equicontinuity are very important qualities of functions or sequence of functions.

连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质。



To make sure under what circumstances everywhere converge can be converted into uniform convergence, a typical counter-case has to be analysed.

在分析数学中一致收敛的重要性及几乎处处收敛不一定能够一致收敛。



By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.

我们利用问题的渐近解证明了差分格式关于小参数的一致收敛性。



In this paper, the bounds on the rate of uniform convergence of the learning processes on possibility space are discussed based on the classic Statistical learning Theory.

本文在经典统计学习理论的基础上，讨论了可能性空间上学习过程一致收敛速度的界。



In this paper, we propose the concept of rates of strong uniform convergence of nearest neighbor density estimates on any compact set and obtain some better convergence rates.

在这篇文章中，我们提出了最近邻估计在任意紧集上一致强收敛速度的概念，得到了一些较好的收敛速度。



Numerical results indicate that the generalized conforming element has the advantages of high accuracy and uniform convergence to geometrically nonlinear problem of structures.

计算结果表明，广义协调元对于求解结构几何非线性问题同样具有精度高、收敛快等优点。



Finally the key theorem of statistical learning theory based on random rough samples is proved, and the bounds on the rate of uniform convergence of learning process are discussed.

最后证明基于双重随机样本的统计学习理论的关键定理并讨论学习过程一致收敛速度的界。



In this paper, based on -, the uniform convergence of the Kth order weak bounded variation functions on the sequence Spaces were investigated. Some equivalent conditions were also obtained.

本文在原有研究结果的基础上，讨论了叙列空间上的弱k级有界变差函数的一致收敛问题，得到了若干有关一致收敛的等价条件。



Then a solution sequence, which consists of an accurate linear term and nonlinear compensation term, is constructed and its uniform convergence to the optimal solution of the system is proven.

其次，构造了该问题族的由精确线性项和非线性补偿项组成的解序列，并证明了解序列一致收敛到系统的最优解。