查询词典 operator set

Mixed monotone operator; Singular two-point boundary value problem; Generalized e-concave operator; Generalized e-convex operator; Mixed monotone multivalued operator; Fixed point

基础科学，数学，数学分析混合单调算子；奇异两点边值问题；广义e-凹算子；广义e-凸算子；混合单调多值算子；不动点

This chapter defines the conceptsof P linear operator,〓 linear operator and 〓 linear operator by extending theconcepts of P matrix,〓 matrix and 〓 matrix to the linear operator from thelinear space of symmetric matrices to itself.In this chapter,we also present a path-following method and a potential reduction method for solving general linear matrixcomplementary problems,and analyzes their computational complexities undersuitable assumptions.

本章将第二章中给出的P矩阵、〓矩阵及P矩阵的概念推广到由实对称矩阵构成的向量空间到其自身的线性算子L上，得到了P线性算子、〓线性算子及P线性算子的概念，给出了求解一般线性矩阵互补问题的路径跟踪法和势函数约减法，并在L为P线性算子的假设下分析了这些算法的计算复杂性。

The force-reflecting manual controller provides operator with the feel of touch, the virtual reality unit gives the operator 3D view of the remote working environment, and the advanced operator interface allows the operator to easily control, model, plan and simulate remote systems.

力反馈手控制器提供触觉反馈；虚拟现实装置给操作者提供远地工作现场的3－D视图；高级操作者界面允许操作者易于对远程系统进行控制、建模、规划和仿真。

Perfect aspectual operator, experience aspectual operator, progressive aspectual operator, and short aspectual operator are veridical operators;⑵Chinese PPIs can be license d by veridical operators;⑶PPIs and NPIs in Mandarin Chinese distribute symmetrically and are unified underveridical contexts.

本论文从汉语时态的角度，对汉语中的时态算子对汉语正极项的允准进行了初步的研究；并试图证明以下三个问题：⑴汉语中的时态算子：完成态算子，经历态算子，进行态算子，及短暂态算子为真实性算子；⑵汉语中的正极项能够被真实性算子允准；⑶汉语中的正极项与负极项呈对称性分布，并统一于真实性语境。

We propose two new aggregation operators called extended uncertain linguistic aggregation operator and interval linguistic aggregation operator, and then develop an EULA operator-based linguistic approach and an ILA operator-based linguistic approach, respectively, to multiple attribute decision making in uncertain linguistic setting.

介绍了不确定语言变量的运算法则，给出了不确定语言变量之间两两比较的可能度公式，提出了2种新的数据信息集成算子拓展的不确定语言集成算子和区间语言集成算子，并且分别提出了基於EULA算子和基於ILA算子的不确定语言环境下的多属性决策方法。

Based on some related concepts of shock disturbed system, weakening buffer operators with variable weights and strengthening ones with variable weights are established respectively. This subject defines buffer operator regulation degree which reflects effect strength to original sequence caused by buffer operator, and also studie the relationship between buffer operator regulation degree and variable weight. Consequently, the monotonicity nonvariable axim of buffer operator is put forward.

基于冲击扰动系统的相关概念，提出了变权缓冲算子的概念，分别构造了变权弱化缓冲算子和变权强化缓冲算子，定义了缓冲算子调节度来反映缓冲算子对原始序列的作用强度，并研究了缓冲算子调节度与可变权重之间的关系，在此基础上提出了缓冲算子的单调性不变公理。

Secondly,proposed an new scheme that the double population genetic algorithm used the self-adaptable crossover operator and mutation operator according to the shortage of early convergence and stagnation in the traditional double population genetic algorithm based on unconvertible rate of crossover operator and mutation operator.

摘 要：介绍了图像关联规则的相关概念，描述了传统的双种群遗传算法的执行过程；针对采用固定染色体交叉概率和染色体变异概率容易出现早熟、收敛速度较慢等问题，设计出了能自适应调整的染色体交叉算子和变异算子。

This article adopts LOG operator as edge-detect operator. First, Guass operator is used to smooth the original image and reduce the noise, then Laplace operator is applied to the result smoothed, thus the anti-noise function of the algorithm is improved.

本文采用LOG算子作为边缘检测算子，首先对原始图像用Gauss函数平滑去噪，然后用Laplace算子作用于平滑后的结果，提高了算法的抗干扰性。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

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。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。