查询词典 operator equation

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 finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中，通常把所求的解归结为度量空间中映射的不动点，然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。