查询词典 operator algebra

Fuzzy logic is studied with algebraic tools in this paper. A kind of algebraic abstract of fuzzy logic, Implication Algebra on a partial ordered set, is given. The relations between Implication Algebra and other algebraic structures, such as MV-Algebra and Heyting Algebra etc., and the filter and the structure of Implication Algebra on a partial ordered set are studied.

本文的目的是使用代数工具对模糊逻辑进行研究，给出模糊逻辑的一类代数抽象，即偏序集上的蕴涵代数，研究偏序集上蕴涵代数与其它代数结构，如MV-代数，Heyting代数之间的关系，以及偏序集上蕴涵代数的滤子与其结构等。

31 Chapter 3 Number Systems and Boolean Algebra 3.2 Boolean Algebra Table 3-2 Distributivity Idempotency Absorption laws 分配律同一律吸收律 a=ab+ac a+= a+a=a aa=a a+ab=a a=a'=a'b''=a'+b' DeMorgan's laws德摩根定理计算机专业英语 3-32 Chapter 3 Number Systems and Boolean Algebra 3.2 Boolean Algebra Since a finite set of n elements has exactly 2n subsets, and it can be shown that the finite Boolean algebras are precisely the finite set algebras, each finite Boolean algebra consists of exactly 2n elements for some integer n.

由于n个元素的有限集有且只有个子集由于个元素的有限集有且只有2n个子集，而且很显然有限布个元素的有限集有且只有个子集，尔代数一定是有限集合代数，所以对某个整数n而言而言，尔代数一定是有限集合代数，所以对某个整数而言，每个有限布尔代数也有且只有2n个元素。例如，上文定义的集合T的限布尔代数也有且只有个元素。

In this paper, we characterize the multiplier algebras of JC-algebras by double centralizers , and study the relationship between multiplier algebra M of complex C*-algebra A and C*-algebra C* M(Asa generated by the multiplier algebra of JC-algebra Asa, the self-adjoint part of A, Finally, we study the extension of JB-algebras.

本文用双中心子刻画了JC代数的乘子代数，并且研究了复C*－代数的自伴部分的乘子代数生成的C*－代数与原C*－代数的乘子代数之间的关系，最后研究了JB代数的扩张。

Some other conditions which the implicative operator of a Implication Algebra should satisfied in a logic system are given. The relations between MV-Algebra and Distributive Implication Algebra, Implication Algebra with condition are gained.

对于偏序集上蕴涵代数中的蕴涵算子引入了一些逻辑条件，得到了偏序集上具有不同条件的蕴涵代数与MV-代数之间的关系，给出了偏序集上蕴涵代数与MV代数之间的几个等价定理。

In this paper, we proposed continuous interval argument OWH operator for aggregating continuous interval argument on the basis of ordered weighted harmonic averaging operator. Based on C-OWH operator, we proposed some new concepts, such as weighted harmonic C-OWH operator, ordered weighted harmonic averaging C-OWH operator, combined C-OWH operator, and we discussed some properties of these operators.

本文首先把OWH算子推广到了连续区间上，提出了连续的区间数据OWH算子，然后在此基础上提出了加权调和的C-OWH算子，有序加权C-OWH算子以及组合的C-OWH算子等新的概念，探讨了它们的一些性质。

Its main tasks are to deal with binary images, gray scale processing, and the use of Sobel, Canny, Roberts, Laplacan operator of four digital image edge detection, the results show that: Roberts operator more precise positioning, but more sensitive to noise, Sobel operator son of gray-scale images with low noise gradient has a better detection of the effect of Laplacian can be detected in the vast majority of the edge did not appear at the same time the basic pseudo-edge, the edge can be precisely targeted, Canny operator is the traditional first-order differential operator in one of the best operator to detect the best edge detection, edges clear, make clear at a glance.

主要工作包括图像的二值处理，灰度处理，并运用Sobel、Canny、Roberts、Laplacan四个算子实现数字图像边缘检测，结果表明：Roberts 算子定位比较精确，但对噪声比较敏感，Sobel算子对灰度渐变低噪声的图像有较好的检测效果，拉普拉斯算子可以检测出绝大部分边缘，同时基本没有出现伪边缘，可以精确定位边缘，Canny算子是传统一阶微分算子中最好的算子之一，检测边缘检测的效果最好，边缘轮廓清晰，使人一目了然。问题补充：摘要英文翻译，不要在线翻译的，是在线等！急啊！！！！谢谢！！！！

Its main tasks are to deal with binary images, gray scale processing, and the use of Sobel, Canny, Roberts, Laplacan operator of four digital image edge detection, the results show that: Roberts operator more precise positioning, but more sensitive to noise, Sobel operator Gradient gray son of low-noise images have a better detection of the effect of Laplacian can be detected in the vast majority of the edge did not appear at the same time the basic pseudo-edge, the edge can be precisely targeted, Canny operator is the traditional first-order differential operator in one of the best operator to detect the best edge detection, edges clear, make clear at a glance

主要工作包括图像的二值处理，灰度处理，并运用Sobel、Canny、Roberts、Laplacan四个算子实现数字图像边缘检测，结果表明：Roberts 算子定位比较精确，但对噪声比较敏感，Sobel算子对灰度渐变低噪声的图像有较好的检测效果，拉普拉斯算子可以检测出绝大部分边缘，同时基本没有出现伪边缘，可以精确定位边缘，Canny算子是传统一阶微分算子中最好的算子之一，检测边缘检测的效果最好，边缘轮廓清晰，使人一目了然。不要在线翻译的那种！在线等！！急！！！谢谢！！！

This method adopts data-based optimization algorithm to design the initial prediction operator and update operator at each decomposition scale, the initial prediction operator and update operator are interpolated with zero, and then the redundant prediction operator and redundant update operator are obtained.

该方法采用基于数据的优化算法，设计每层小波分解的初始预测器和更新器，然后通过对初始预测器和更新器进行插值补零运算，来获得冗余预测器和更新器。

Tries this kind of case when the judicial practice, we should face up to operator's legal advantage, gives dual attention to the consumer and operator's benefit balance, is clear about the operator to be able to control reasonably to its management behavior related dangerous source, from official standard, agreement standard and rational person's aspects and so on standard grasps the operator to pay attention to the voluntary the reasonable scope, decided whether the operator does undertake the right infringement responsibility mistake and the mistake size judgment standard is mainly an operator whether to violate the legal obligation, the agreement duty or the social life general attention duty.

在司法实践中审理此类案件时，我们应正视经营者的合法利益，兼顾消费者与经营者的利益平衡，明确经营者对其经营行为相关的危险源能够合理控制，从法定标准、约定标准及理性人的标准等方面把握经营者注意义务的合理范围，判断经营者过错及过错大小的标准主要是经营者是否违反法定义务、约定义务或社会生活的一般注意义务。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。