查询词典 kernel of integral operator

The author proves theorem on contracting maps for halfmetric space and the existance of solution and the Continuousness of integral operator integral equation in Orlica space.

证明了半度量空间中的压缩映像原理，并应用其证明了Orlica空间中一类积分方程解的存在性及积分算子的连续性。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation.

在本课程中，我们将会建立一种适合描述多体问题的理论方法，诸如哈密顿二次量子化算子形式、格林函数、路径积分、泛函积分和量子动力方程等。

The maincontents of this thesis include:Firstly,by using inherent relationship between region integral and curve integral,designing the image transform operator,a novel snake model using both boundary andregion information was proposed,which more directly integrated the prior knowledgeincluding region information with the traditional deformable model,so that the abilityabout evolving contour curve was improved.

本论文将以严密的数学理论、可靠的物理原理和实际的应用背景为出发点，研究这一图像处理和分析的基本问题，并相应开展了以下几个方面的工作：首先，本论文利用区域积分与曲线积分之间转化的内在联系，通过设计相应的图像变换算子，提出了一种基于边缘与区域信息的图像可变形轮廓提取模型。

In this paper,we use the fuzzy integral as the combination operator,give a kind of combination forecasting model that is on fuzzy integral,this model can reflect both the "importantance" of every models and the of the models.

本文利用Choquet模糊积分作为组合算子，给出一种基于模糊积分的非线性组合预测模型，该模型既能反映各种预测模型的"重要性"，又能反映各个预测模型之间的交互作用，并用此模型给出中国卫生总费用的预测。

Firstly,on the basis of the generalized fuzzy integral,which is defined by nonnegative measurable functions. Through introducing T-norm operator,we extend the integrand functions to the fuzzy valued function and give the definition of so-called T-fuzzy valued integral.

首先，在针对非负可测函数所定义的广义模糊积分的基础上，通过引入T—模算子，将被积函数推广到取值于模糊数的模糊值函数，给出了所谓的T—模糊值积分定义，获得了这种积分的一些基本性质。

Internet personage tells a reporter, of skyline bleachery roll out, can call catchword at will in bleachery at will especially, catchword content will make a central point, and everybody wants to contend for the first, what will naturally cause integral is fast use up, so skyline should be met in debut later other the way that wins integral, fill value RMB to obtain integral for instance, in current SNS gain difficult situation falls, skyline of this game roll out, it is a very good attempt undoubtedly.

有互联网人士告诉记者，天涯晒场的推出，特别是可以随意在晒场里随意喊口号，口号内容将会成为一个焦点，而且大家都想争第一，势必会造成积分的快速消耗，所以天涯应该会在稍后开通其他获得积分的方式，比如充值人民币获得积分，在当前SNS盈利困难的情况下，天涯这个游戏的推出，无疑是个很好的尝试。

As to its computing methods, this paper synthesizes six kinds, they are: utilizing a general integral method of complex function directly; utilizing Cauchy integral theorem; utilizing Cauchy integral formula; utilizing Cauchy high-level differential coefficient; utilizing Cauchy residue theorem; utilizing the residual of logarithm.

关于周线积分的计算方法，本文综合了六种，它们分别是：直接利用一般的复变函数积分的方法；利用柯西积分定理；利用柯西积分公式；利用柯西高阶导数公式；利用柯西留数定理；利用对数留数。

This paper probes into its application in integral calculus especially--- utilizing contour integral to calculate relational real integral.

本文重点探讨它在积分学当中的应用——利用周线积分计算有关的实积分。

So-called contour integral is an integral whose integral route is contour.

所谓周线积分是指积分路径是围线的积分。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。