查询词典 measurable function

If the stochastic process {X,t∈R1} is transformed by a bounded Borel measurable function f, then we will obtain a new stochastic process which denotes by Y, namelyY=fX

如果该随机过程{X，t∈R1}被一有界Borel可测函数f变换，则得到新的随机过程，记为Y=fX

Then, some fundamental properties of Loeb measurable function and Loeb integration are discussed.

然后，讨论了Loeb可测函数和Loeb积分的一些基本性质。

With four continuity of non-additive set function and the relation of four convergences of the measurable function sequence,four forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are discussed,respectively.

在经典测度论中，Lebesgue定理刻画了实值可测函数序列几乎处处收敛和依测度收敛之间的关系。1984~1986年，王震源[9]先后提出了较弱的"自连续"、"零可加"、"伪自连续"、"伪零可加"等重要概念，讨论了模糊测度空间上单值可测函数序列各种收敛之间的关系，推广了经典测度论中著名的Lebesgue定理以及其他定理。

The concept of the midpoint quasi-convex function is introduced, and some conditions are obtained to ensure that midpoint quasi-convex function is quasi-convex in the measurable function space.

本文提出了中点拟凸函数的概念，在可测函数空间中，给出了中点拟凸函数拟凸的若干个充分条件。

Are some unknown measurable function from R to R.

U任R，Z一+〔，(21，·，吞)T〔卿是协变量；1，…，p都是从R到R的未知可测函数。

In the third chapter,two different methods which construct the Loeb measure are researched,and their consistency is proved.Next some basic natures of Loeb measurable function and Loeb integration have been discussed.

在第三章中，我们主要研究由确界法和内逼近法这两种不同的方法构造Loeb测度空间，并证明了它们的一致性，然后讨论了Loeb可测函数和Loeb积分的一些基本性质。

The relations among three kinds of structural characteristics of fuzzy measure:(1) pseudometric generating property;(2) pseudometric generating property of type p;(3) null-null additivity,and the convergence for sequence of measurable function on semi-continuous fuzzy measure space are discussed.

李军讨论了下半连续模糊测度的3种结构特性：(1)伪距离生成性质；(2)p类型伪距离生成性质；(3)零-零可加性与半连续模糊测度空间上可测函数序列的收敛性之间的关系。

If 〓 is an absolutely continuousmeasure and is represented by a measurable function f on Q,then u is said tobe the generalized solution of(1),and 〓 to be the parabolic Monge-Amperemeasure.

定义1由legendre变换定义了一个Q上的测度〓（4）其中〓为〓空间中的Lebesgue测度，若〓是一个绝对连续测度且在Q上由可测函数〓表示，则称u为方程（1）的广义解、称测度〓为抛物型Monge-Ampère测度。

Aiming at the engineering application of the two-layer fuzzy integration, we established the concepts of "two-layer measurable function on domain" and "two-layer measurable function for the monotone class".

针对二重模糊积分工程实用化，建立了备域上二重可测函数、单调类上二重可测函数的概念。

Fuzzy Choquet integral is defined for the given nonnegative measurable function on the general fuzzy measurable space. The fuzzy integral is wholly regarded as a set function on the general fuzzy measurable space. And its some elementary properties and convergence are discussed.

在一般模糊测度空间上，针对给定的非负可测函数定义了λ-模糊Choquet积分，并将这种模糊积分整体看作一般模糊测度空间上的集函数，进而讨论了这种模糊积分的一些基本性质和收敛性。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。