查询词典 completely continuous linear operator

Three counter-examples of topological space are proposed in this study: There are two metric spaces, X and Y, in which and are isometric, whileand are not isometric; Non-metric tight regular space is a counter-example of the separation of topological space; No non-zero continuous linear functionals of the linear topological space is a counter-example of linear topological space.

这里给出三个反例，存在两个度量空间X与Y，使X^2与Y^2等距而X与Y并不等距是拓扑空间中的反例；存在不可度量化的紧的完全正规空间是拓扑空间分离性的反例；不存在非零连续线性泛函的线性拓扑空间是线性拓扑空间的反例。

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腾飞全自动清洁球机：四丝双球全自动清洁球机的性能如下，电压： 380V(220V)动力电源，功率：1.5(2.2)kw，装丝：4(6)丝2(3)球，分球方式：全自动电熔断分球方式，特点：全自动操作方式，采用最先进的导丝器，保护金属丝的表面不会被刮伤，造成金属丝表面生锈没有光泽，生产出来的产品花型均匀、明亮、美观，产量为每小时8(10)kg左右。

We discuss the completely tr-rank nonincreasing linear maps on finite vN algebras and prove that a unital self-adjoint and surjective linear map on finite vN algebras is completely tr-rank preserving if and only if it is a spatial 〓-automorphism that leaves the central elements fixed.

我们刻画了有限vN代数上完全迹秩不增的线性映射；也证明了有限vN代数上保单位元的自伴线性满射完全保迹秩当且仅当它是空间〓-自同构且限制到中心上是恒等映射。

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。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。