查询词典 decomposition operator

This method was mainly built on the operator matrix's singular value decomposition in the first class of operator equations, and then the best regularization parameters were selected in accordance with the characteristics of singular value so as to identify filter function, thereby removing noise of the function.

该方法主要建立在第一类算子方程的算子矩阵进行奇异值分解的基础上，然后根据奇异值的特征选取最佳正则化参数确定滤子函数，从而达到对该类函数的噪声去除效果。

In the fourth chapter,we discuss theapplication of the atomic decomposition theory to the vector-valued harmonicanalysis.We give the Hardy inequalities in the vector-valued martingale space,we also study the Mikhlin multiplier operator and singular integral operator in thevector-valued Hardy space.

第四章我们主要研究原子分解理论在向量值调和分析中的应用，建立了向量值鞅空间上的Hardy不等式，向量值Hardy空间上的Mikhlin乘子算子及一类奇异积分算子的有界性。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Firstly, a new two-tuples hybrid weighted averaging operator based on uncertain information processing is proposed. Properties of the operator are also analyzed. A method for group decision making with linguistic information based on T-HWA operator is presented.

首先提出了一种基于不确定信息处理的二元语义混合加权平均算子，并对该算子的性质进行了分析，然后给出了一种基于T-HWA算子的语言群决策方法。

Chapter 4, the author first presents an ordered weighted Euclid averaging operator, and then studies the relationship between the OWEA operator and the OWA operator in detail.

第五章首先介绍了BP神经网络基本原理及其算法，然后在此基础上给出了基于BP神经网络的交互式赋权法。

Based on the and density weighted averagingmiddle operator and density weighted geometric averagingmiddle operator, a new density weighted harmonic averaging middle operator is proposed.

文章根据已有的密度加权平均中间算子和密度加权几何平均中间算子的形式提出了密度加权调和平均中间算子并与已有的其它算子进行合成得到合成算子。

Considering the information distribution on the decision makers′ preference,the problem of density weighted averaging middle operator in uncertain multiple attribute decision making is investigated to find out the procedure to determine the weight vector of interval number density operator by extending the middle operator of density of real numbers to that of interval numbers.

针对群决策中的决策者群体偏好信息分布问题，研究了不确定多属性决策密度中间算子，把实数密度中间算子扩展到区间数密度中间算子。

The quark axial vector current operator includesnot only the Pauli spin operator, but also a relativistic reduction operator and a quark-antiquark pair creationoperator.

在质子静止坐标系，夸克轴矢量流除了Pauli自旋算符外，还有相对论修正项和海夸克对产生湮灭项。

Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p,and using an extension of Mawhin s continuation theorem,the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

将具p-Laplace算子的边值问题转化成算子方程，对于p的不同取值给出适当的条件。利用Mawhin连续引理的推广形式，证明了一类具p-Laplace算子的微分方程边值问题解的存在性，得到了一系列解存在的充分条件

They have quite a lot of work to do.

他们有许多工作要做。

Let us give you a more elaborate example of this process.

让我们给你这个过程的更多的详细例子。