1) measurable mapping
可测映射
1.
This paper based on the definition of measurable mapping and the characters of mapping,gives the detailed identification of judging measurable mapping theorem.
根据可测映射的定义以及映射的相关性质,给出了关于判定可测映射的相关定理的详细证明。
2) strongly measurable mapping
强可测映射
3) flow of measurable maps
可测映射流
1.
In the first one,our aim is to prove the existence of a flow of measurable maps associated to a vector field belonging to a Sobolev space;to this end,we discuss the link with transport equations and continuity equations.
在第一部分中,我们的目的是证明由属于Sobolev空间的向量场生成的可测映射流的存在性,为此我们讨论常微与运输方程和连续方程的联系。
4) Measurable set valued mapping
可测集值映射
1.
Egorov convergence theorem for measurable set valued mapping s sequence in separable and self reflexive Banach space was studied under various topological convergent meanings,almost everywhere convergent property of measurable set valued mapping sequence was discussed.
讨论了取值可分自反 Banach空间中可测集值映射序列的 Egorov型收敛定理 ,在几种不同拓扑收敛意义下 ,刻画了可测集值映射序列的几乎处处收敛 。
5) Measurable set-valued mapping
可测集值映射
1.
On the basis of the definition of set-valued fuzzy Choquet integrals, aiming at the general measurable set-valued mapping, some important properties with respect to this kind of set-valued fuzzy Choquet integrals further were studied , which will extend the applications of this kind of integral theory.
在集值模糊Choquet积分定义的基础上,针对一般可测集值映射,进一步研究这种集值模糊Choquet积分的一些重要性质,从而使这种积分的理论具有更广泛的应用。
6) measurable fuzzy set-valued mapping
可测Fuzzy集值映射
1.
This paper establishes the concept of measurable fuzzy set-valued mapping,elabroates convergences for thesequence of fuzzy set-valued mappings,and presents the integrals of measurable fuzzy set-valued mapping and itspropeties.
本文建立了可测Fuzzy集值映射,引入了Fuzzy集值映射的收敛性,并给出了可测Fuzzy集值映射的积分和它的性质。
补充资料：可测映射
可测映射
measurable mapping
可测映射【n翻灿阁触双.口冲嗯;.3Mep服oe oT浦p姗-“”el 可测空间(~ura比sPace)(X:，一了:)到可测空间(X:，了2)的映射f，使对一切Ae了:， f一’(A)二{x:f(x)〔A}曰了，.在.了，是一个a代数且(XZ，.暇)是具有B仗目集(助比lset)的。代数叽的实直线情形下，可测映射概念就化为可测函数(n℃aslirablefi川etion)(然而，当了，仅为一个口环时，可测函数的定义通常要按积分理论的需要来修正).若.了.与了:都是环，并且对姚的某一子类中的每个集B，这里此子类生成的环为整个叭，有f一’(B)‘了，，则f是可侧的.类似的论断在叮环、代数与丁代数的情形成立.若(X。，了:)与(XZ，了2)是具有Bo威集的。代数的拓扑空间，则每个从Xl到X:的连续映射都是可测的.设X是一个拓扑空间，了是Bo威集的。代数且召是了上的一个有限非负的正则测度(祀肛妞r~眠)(正则性意为拼(A)={环(F): FCA，F是闭集}).此外，设y是一个可分度量空间，矛是Borel集的。代数且f是从(X，丫)到(Y，了)的一个可测映射，则对任何￡>0，存在一个闭子集FC=X，使拜(X\F)<。且f在F上连续(脚3HH定理(Luzlllth印比m)).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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