零测度集

词组短语

set of measure zero

与零测度集相关的网络例句 [注：此内容来源于网络，仅供参考]

Theorem 1 constructs a set of universal measure zero using continuous extension; Theorem 2 verifies absolutely continuous function being of good property under some condition; Theorem 3 reveals some relation between real function and meager.

定理1 主要运用了连续延拓构造了一个泛测度零集；定理2 证明绝对连续函数在一定条件下具有良好的性质；定理3 揭示了实函数与第一纲集的某种关系。

It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，从而得到了从函数可积性到连续性，从连续性到极限存在性的函数特性理论，即可积函数中极限的几乎处处存在与几乎处处连续是等价的，得出比正规函数更加宽泛的统一条件，得出了有界变差函数是可积函数的结论。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of gather zero measure, it discusses the relation between almost continuous everywhere and existent of limit, and gets that the almost continuous everywhere is equal to the almost limit existence everywhere in the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，即可积函数中几乎处处连续与极限的几乎处处存在是等价的，得出了比正规函数更加广泛的统一条件，得出了有界变差函数是可积函数的结论。

In chapter 5,we persue the ctiticality and complexity of thecritical sets.We describe carefully the Whitney's example in 1935.Meantime,we introduce some rsults about the critical sets and thecritical value sets,in particular,on W-sets and C-sets.And usingthe Lebesgue density theorem and the Vitali covering lemma weprove a rank zero theorem with Hausdorff measures.Finally wegive some examples to prove our results are sharp in the sense thatthe numbers k,m,n,s,〓,etc.,in the hypothesescan not be improved.

第五章研究临界点集的临界性和复杂性，并详细地描绘了Whit-ney在1935年的例子，同时也介绍了关于临界点集和临界值集的一些结果，尤其是W-集和C-集的一些结果，并利用Lebesgue密度定理和Vitali覆盖引理证明了一个与Hausdorff测度相关的秩零定理，最后举例证明我们的结果在定理的假设中的那些数字如k，m，n，s，a，r+/等不能被改进的情况下是最佳的。

It expands Lebesgue characteristic of integrable function of Riemann through the definition of gather zero measure and builds up the theory of many integral calculus.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

Recently,atoms with higher order vanishing moment were defined by Krant-z etc on some particular spaces of homogeneous type,but it hasn't been solvedthoroughly on usual spaces of homogeneous type.On the other hand,krantz'sstudy was made under the condition which the measure of the sets constructedby single element is zero,therefore their work didn't include the case of integ-er Z as a particular space of homogeneous type.Indeed,as a Hardy space on Z,〓(0＜p≤1)has been studied by some scholars.

尽管近来Krantz等人在某些齐型空间上定义了带高阶消失矩的原子，但在一般的齐型空间上建立带高阶消失矩的原子Hardy空间还没有完全解决，而且Krantz等人的工作是在单点集测度为零的条件下讨论的，因而不包括作为齐型空间的整数Z的情形。Z作为一类特殊的齐型空间，其上Hardy空间〓的问题有不少学者讨论过。

Nulled , null·ing , nulls

零测度集，空集，空集合

与零测度集相关的网络解释 [注：此内容来源于网络，仅供参考]

crystal set：晶体检波接收机,晶体接收机,矿石收音机

complex instruction set computer [计] 复杂指令系统计算机 | crystal set 晶体检波接收机,晶体接收机,矿石收音机 | null set 零测度集,空集,空集合

measurable：可测的

所以,根据测度理论,样本空间中的集合分成两种:可测的(measurable)和不可测的. 我们只对可测集赋予测度或者概率. 特别留意,测度为零的集合也是可测的,叫做零测集. 所谓不可测集,就是那种测度既不是零,也不是非零,就是什么都不能是的集合.

measure space：测度空间

一个测度空间(measure space)是完全的,如果它的任何零测集(null set)的任何子集都是可测的. 请查看完全测度空间(complete measure). 在统计学中,一个统计量(statistic)被称为完全的,如果它不允许存在0的无偏估计量(estimator).

set of measure zero：零测度集

set of lower bounds 下界集 | set of measure zero 零测度集 | set of numbers 数集

null sequence reactance：零序电抗

null sequence 零序,零序列 | null sequence reactance 零序电抗 | null set 零测度集,空集,空集合

set of lower bounds：下界集

set of limit 极限集合 | set of lower bounds 下界集 | set of measure zero 零测度集

set of numbers：数集

set of measure zero 零测度集 | set of numbers 数集 | set of points 点集