1) continuous vector function
连续矢量函数
2) continuous vector-valued functions
连续向量值函数
3) continuous vector function
连续向量函数
4) vector function
矢量函数
1.
Considering the teaching need of higher mathematics in colleges,the unified definitions of vector functional integration are given.
从后续课程的教学需要考虑,在工业专科学校“高等数学”教学中,建议增补并给出矢量函数各类积分的统一定义。
2.
An interpolating formula and estimation for approaching calculation of a 3D disturbed curve in a vector field on basis of a vector function interpolating was presented,and its convergence was proven,some of which can be also applied in such fields as coloring algorithm of fractal,visual components and computer tomography graphics,3D computer terrain interpolating and rendering.
基于在矢量函数插值,给出了矢量场中三维空间扰动曲线的近似计算公式及其误差估计,同时证明了其收敛性,其结果可用于比如分形、可视化组件、计算机断层扫描图像的着色处理和3D计算机地形地貌插值与显示等方面。
5) 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 。
6) 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。
补充资料:半连续函数
半连续函数
semi-continuous function
半连续函数l肥l企伽血以朋仙盆七叨;noJlyllenpep曰-阳a:中押刘”,」 定义在完全度量空间X上的扩充实值函数f,称为在点为沂x是下(上)半连续的(lo忱r(印per)s咖一cont~us),如果 粤j(‘))f(动〔瓦f(‘)‘f(“。)]函数.厂称为在X上是下(上)半连续的,如果它在X的每个点都是下(上)半连续的.单调增加(减少)的函数列,其中每个函数都在点x。是下(上)半连续的,那么它们的极限函数在x。仍是下(上)半连续的.若“和v分别为X上的下半连续和上半连续函数,且对所有的xeX,。(x)簇u(x),。(劝>一二,以劝<+田,那么存在X上连续函数f,使得对一切x任x,满足条件。(幻蕊f(x)镬“(x).设拼是R“上的非负正则Bo闭测度,则对任何召可测函数.f:R”一R,存在两个单调函数序列道。。}和{叭小满足如下条件:l)u。和。。分别是下半连续和上半连续的;2)每个u。是有下界的,而每个。。是有上界的;3){u。}是减少的序列而道。,}是增加序列;4)对一切x, “。(x)).f(义))v。(x);5) 。峡u。(‘)一。叭v。(‘)=f(x)拜几乎处处成立;6)若f在EC=R”上为拼可和,且.f‘L:(E,料),则u。,v。‘L,(E,拜)且 厄J二“。一厩J·。“;!一丁.厂‘。 石EE(Vitali.(、份t反油如ry定理(vilali一e汕川话习创了t恤”-化m)).【补注】下半连续与上半连续常缩写为!.s.c.与u.s.c二l,s.c与u.s.c.函数的概念也可以在拓扑空间X上定义.任何一个连续函数族的上(相应地,下)包络是1 .s.c.(u.s.c)的,且当X为完全正则时,其逆亦真;若X可度量化,上述结果对连续函数的可数族也成立.所以,度量空间X上的半连续函数必属于第一助i此类(Ba此ck比es).其逆不真. 设X=R,又设 r一1当二
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