积分算子

Nabla operators applied on the scalar Green's function are applied on electric and magnetic fields using integration by parts.

利用分部积分将作用在标量Green函数上的Nabla算子转移到电磁场强上。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

The main topics are: set theory foundation, Lebesgue measure and Lebesgue integral, basic theories on linear normed spaces and Hilbert spaces and introduction to linear bounded operators.

本课程基本内容包括集合论基础、Lebesgue测度与Lebesgue积分、线性赋范空间与Albert空间的基本理论和有界线性算子简介。

First the left side of the equation is turned into a linear operator.

首先通过积分变换，将方程的左端项简化成线性算子。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济。。。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis. It provides a powerful general framework for the study of nonlinear partial differential equations, nonlinear integral equations, control theory, optimization. Practically, it has be applied abroad in physics, economics and engineering.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济学、工程学等应用学科也有着广泛的应用。

Using functional integral formalismwe prove that it is indeed the case for the operators concerning nucleon spin structures.

利用泛函积分方法我们证明核子自旋结构中涉及到的这些算子的确属于这情况。

After finishing holistic analyses, and considering the specific and relative research on database technique"s application in the remote structural collaborative experiment, this thesis explores and discusses that the proposed database organization scheme can promote the efficiency of the data"s reposting in the Remote Structural Collaborative Experiment, the efficiency of the remote data exchange, and puts out the improving design compared with the NCREE system, that is to use middleware to realize the separation of the experimental process and DBMS and to set up buffer pool to solve the problems, such as to solve network replacement by getting back the experiment.

在完成了整体分析设计之后，针对数据库技术在远程结构协同实验中的应用作了具体的相关研究，探讨了本文提出的数据库组织方案在远程协同实验中可以提高数据入库效率以及远程数据交换效率以及对比NCREE系统设计提出了改进的设计思想，即采用中间件以实现试验进程与DBMS分离以及设立缓冲池以解决网络复位而要恢复试验等问题，并且还研究了在协同实验中分析中的常用数值积分算法，并着重探讨分析了算子分裂算法。

Chapter three deals with the controllability of a nonlinear integrodifferential systems ofSobolev type with nonlocal condition in Banach spaces. The results are obtained by using semi group theory and the Schauder fixed point theorem.

本章利用算子半群和Schauder不动点定理，在Banach空间中讨论了带有非局部初始条件的一类非线性Sobolev型积分微分系统的可控性问题。

The existence of mild and strong solutions of a nonlinear integrodifferential systems of Sobolev type with nonlocal condition in Banach spaces is discussed.

本文利用算子半群理论和Schauder不动点定理在Banach空间讨论了一类带有非局部条件的非线性Sobolev型积分微分系统的适度解和强解的存在性。

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。