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连续函数,continuous function

2023-04-24 22:16词典 人已围观




1)continuous function
连续函数
1.
The inferences about the property for continuous function of closed interval and the mean value theorem for derivatives;
闭区间上连续函数的性质定理及微分中值定理的推论


2.
One quality of continuous function and its application in solving inequality equations;
连续函数的一个性质及其在解不等式中的应用


3.
Many ways have been given to solve the maximization problem of the continuous function, however, there are some drawbacks more or less.
求解连续函数最大值的优化算法已有多种,但都不同程度地存在一定的局限性。


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2)continuous functions
连续函数
1.
This paper considers some properties of continuous functions.
该文讨论了周期连续函数的若干性质,刻画了一些函数集合之间的包含关系。


2.
This article extends the zero-point theorem for continuous functions from a closed interval to other types of intervals,and a series of zero-point theorems for continuous functions on relevant intervals are obtained,so that the theory on the zero-point theorem can be applied in more general cases.
将闭区间上连续函数的零点定理扩展到其它区间上,得到若干个相应区间上连续函数的零点定理,从而使零点定理理论更完善、应用更广泛。


3.
In this paper,Stancu-integral type operators are first constructed on simplexes,then discusseions on approximation to continuous functions are made.
本文首先构造了单纯形上积分型 Stancu算子 ,其次讨论了它对连续函数的逼近 。


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3)real continuous function
连续实函数
1.
A sufficient condition is given for the special Mamdani fuzzy systems to uniformly approximate any real continuous function on a compact set.
在此基础上 ,进一步给出了特定 Mam dani模糊系统一致逼近紧致集上任意连续实函数的充分条



4)Lipschitz continuous function
Lipschitz连续函数
1.
The projected zone is restrained through a real-valued proper convex and Lipschitz continuous function,and thus we generalize the algorithm in recent literatures.
通过利用真凸Lipschitz连续函数及适当假设来构造投影区域,从而推广了同类算法,并给出了例子及计算机演示结果,使得所生成的序列均有以下特点:(1){‖xk-x0‖}是递增序列;(2)变分不等式的解的存在性可通过所生成的序列的特点来验证;(3)在适当的假设条件下该算法所生成的序列收敛到解集中一点PS*(x0)。


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5)discontinuous function
不连续函数
1.
In this article,some new integral inequalities of discontinuous function in two independent variables is investigated,some new results are obtained,which generalize some existing conclusions.
主要研究了具有两个独立变量的不连续函数(有跳跃间断点)的一类更为广泛的新型积分不等式(Wendroff型),得出了一些新的结论,从而推广了前人的工作。


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6)semi-continuous function
半连续函数
1.
Some properties of semi-continuous functions are investigated, and some characterizations of semi-stratifiable spaces with semi-continuous functions are given.
本文探讨了半连续函数的一些性质,并利用半连续函数给出了对半层空间的几个等价刻画。


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补充资料:连续函数
连续函数
continuousfunction

函数yfx)当自变量x的变化很小时,所引起的因变量y的变化也很小。例如,气温随时间变化,只要时间变化很小,气温的变化也是很小的;又如,自由落体的位移随时间变化,只要时间变化足够短,位移的变化也是很小的,对于这种现象,我们说因变量关于自变量是连续变化的,可用极限给出严格描述:设函数yfx)在x0点附近有定义,如果,则称函数fx0点连续。如果定义在区间I上的函数在每一点xI都连续,则说fI上连续,此时,它在直角坐标系中的图像是一条没有断裂的连续曲线。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。

连续函数,continuous function

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