查询词典 integral criterion

Which introduces kids and their extension to the primary form of the Riemann integral forms can store and then to be accumulated under the Lebesgue integral form and find the links between these three forms of proof and provement.

其中主要介绍不等式的初等形式及其推广到Riemann可积下的积分形式，然后到Lebesgue可积下的积分形式，并寻找这三种形式之间的联系和证明

After introducing the concept of fuzzy measures and Choquet fuzzy integral, information fusion for target recognition can turn into generalized Lebesgue integral of recognition result with respect to the degree of importance of source.

引入模糊测度和 Choquet 模糊积分的概念后，信息融合目标识别可转化为各信源识别结果关于信源重要程度的广义 Lebesgue积分。

Firstly,the article theoretically expounds the superiority of Lebesgue Integral ,then through the detailed cases analyzes its superiority shown in the practical application compared to Riemann Integral.

文章首先从理论上阐明勒贝格积分的优越性，然后通过具体实例详细探讨勒贝格积分相对于黎曼积分，在实际应用中体现出的巨大优越性。

Methods By using Lebesgue integral and Fouries series, area transformation formula of planar domain and variant transformation formula of double integral are discussed.

利用勒贝格积分和傅立叶级数讨论平面区域面积变换公式和二重积分变量变换公式。

With the help of the concepts of Lebesgue measure and Lebesgue integral in real function,the mathematics model of concurrent design of life-oriented progressive die is advanced. Which were the Lebesgue measure and Lebesgue integral of die substructures and a general mathematics model of the relation between progressive die structure and die substructures.

运用实变函数中的Lebesgue测度和Lebesgue积分的概念，结合面向寿命的级进冲模并行设计的特点，建立了面向寿命的级进冲模并行设计数学模型—模具子结构的Lebesgue测度和Lebesgue积分，提出了级进冲模结构与模具子结构关系的一般数学表达式。

After constrcting the perfective space , prove that this space is just the space of lebesgue integratiable function , thus explain that lebesgue integral is the form of the perfective riemann integral

在构造了完备化空间之后，证明了该空间就是勒贝格可积函数空间，从而说明了黎曼积分的完备化形式是勒贝格积分。

In this paper,the definition modes of Lebesgue integral of non-negative measurable functions are studied by the way of cutting defining and valued rids,approaching with simple function series.The four definitions of Lebesgue integral of non-negative measurable functions are given.Furthermore,their e- quivalence properties are proved by elementary knowledge.

文献〔1」利用非负可测函数在Ef镇司上积分的极限定义了f在有界可测集E上的L积分；文献[2」利用非负递增简单函数列积分的极限定义了非负可测函数的L积分；文献[3]给出了L积分的一种统一定义；文献〔4一6〕分别证明了测度

Rough sets theory ; Lebesgue integral ; Entropy ; Knowledge integral sum ; Knowledge integral2000M SC:28E05; 68T30

粗糙集理论；勒贝格积分；熵；知识积分和；知识积分

An ordinary definite integral is defined over a line segment, whereas a line integral may use a more general path, such as a parabola or a circle.

普通定义的积分是定义在一段线段上的，而线积分则用更一般的路径，像拋物线或圆。

Fenton has given particular attention to the treatment of singularities in the governing integral equation involving the symmetric Green's function — a feature apparently not accounted for by Black — and he reduces the relevant line integral equations to forms possessing series which are rapidly convergent.

Fenton 已经把特别的注意给奇异的治疗在那统治包括对称的格林的功能的整体的相等-一个特征显然地不根据黑色解释-而且他让有关的线整体相等变成持有快速趋集于一点的系列的表格。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。