积分算子

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 chapter 3, we introduce a new family of functions with negative coefficients T,...

第五章根据α螺旋形函数的定义及算子D~λ定义一族新的解析函数类S_α，导出族中函数的积分表达式；研究了S_α中函数的某种积分运算及卷积定理。

Integral of one way wave operator in depth domain.

单程波算子在深度域的积分称为单程波算子积分解。

In this paper, a new technique (so-called large-step wavefield depth extrapolation method), that is based on the Lie algebraic integral of operator's phase to compute depth extrapolation operator efficiently, is proposed.

本文提出一种基于"算子相位"李代数积分的快速计算延拓算子的方法，称为大步长波场延拓方法。

In this paper, a new technique (socalled largestep wavefield depth extrapolation method), that is based on the Lie algebraic integral of operator's phase to compute depth extrapolation operator efficiently, is proposed.

本文提出一种基于"算子相位"李代数积分的快速计算延拓算子的方法，称为大步长波场延拓方法。

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。

By means of the C0 - semigroup theory of bounded linear operators in functional analysis we prove that thissystem has a unique nonnegative solution.

以往大多数文献都讨论维修系统的稳态解的情况，本文利用泛函分析中算子半群的方法研究了这类数学模型的非负动态解的存在唯一性。第三部分对积分半群和余弦算子族解析性的讨论。

The rate of convergence of pointwise approximation for local bounded functions are obtained.

引入一种积分型的 Szász- Bézier算子，并研究其逼近性质，得到了此类算子对局部有界函数的逼近阶估计公

Direct and inverse theorems of approximation by this kind of operators are discussed, and the Jackson—type integral estimation of approximation and Steckin — Marchaud inequality of weak type of uniform approximation for these operators are obtained.

讨论了一元Bernstein型算子的逼近正逆定理，建立了该算子逼近的Jackson型积分估计式和一致逼近的弱Steckin-Marchaud型不等式。

In theory, it can be realized by frequency-wavenumber domain expression and transform from wavenumber domain to space domain.

大步长单程波算子是穿过厚层的单程波算子的积分，在理论上它可以通过频率波数域表达式和波数域到空间域变换来实现。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。