向量算子

词组短语

vector operator

与向量算子相关的网络例句 [注：此内容来源于网络，仅供参考]

With the advancement of science and technology, some new theories and new ways emerged gradually, some of them merged with specific theoretical tools, this specific theoretical tools include mathematical morphology, fuzzy techniques, neural networks, wavelet and so on. Secondly, in this paper, it described and analyzed the segmentation method based on the edge in the domain of image segmentation in detail. It did experiments on several edge detection operators using MATLAB, it summarized the advantage and the shortcoming of traditional edge detection operators, and the operating environment. On the basis of the experimental analysis, it implemented an edge location more precise, more efficient operating speed edge extraction method——Template Vector. In this method, it optimized differential approximate calculation of first differential operators the paper mentioned. After experimented on this edge extraction method, contracted with the traditional methods, the edge outline is extracted more accurately and more exquisitely, furthermore, it retained the object outline furthest, and achieved more satisfied edge extraction result.

其次，对图像分割领域中常用的基于边缘的分割方法进行了详细的研究与分析，对各种边缘检测算子进行了MATLAB环境下的实验，分析总结了各种传统边缘检测算子的优缺点和适应环境，并针对传统边缘检测算子在处理显微图像时的缺陷，在实验分析的基础上研究并实现了一种边缘定位更加精确、运算速度更加快捷的边缘提取方法——模板向量算法，在该算法中，对文章提到的一阶微分算子中微分的近似计算作进一步优化，经过对该边缘提取方法进行实验，其结果与传统方法相比，轮廓提取更为精确细腻，且最大程度的保留了图像中物体(目标个体或者明显噪声点)的轮廓，得到了比较理想的边缘提取效果。

A fuzzy ordered weighted averaging operator is presented and then utilized to aggregate the information given in the form of triangular fuzzy number complementary judgement matrix.

给出了一种模糊有序加权平均算子，利用该算子对以三角模糊数互补判断矩阵形式给出的判断信息进行了集结，基于三角模糊数期望值求得三角模糊数互补判断矩阵的排序向量，进而对决策方案进行排序。

The interval estimation information given by estimators is classfied. The bargaining interval and bargaining value is also determined for each class information. Then, the information of the bargaining interval and bargaining value is integrated by utilizing the induced ordered weighted averaging operator. The problem to choice the weighted vector of the IOWA operator is also discussed.

首先对评价者给出的区间赋值信息进行分类，确定各类信息的协商区间和协商值；然后利用所导出的有序加权平均算子对各类信息的协商区间和协商值进行集成，并对如何选取IOWA算子加权向量的问题进行了讨论。

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一，研究适宜于不同实际问题需要的向量小波基（如周期向量小波、插值向量小波、高维向量小波等）；其二，从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域；在此基础上，探索将向量小波分析应用于函数空间理论研究的途径，寻找更高层次、更便捷地研究多元函数空间逼近理论的方法；其三，充分利用向量小波所独具的完美性质，探索在〓空间〓无条件基的构造中，向量小波分析的价值；其四，对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

This paper mainly deals with invariant subspaces and cyclic vectors of certain diagonal operators on a separable Hilbert space. In this case, a complete characterization is given.

考虑一般对角算子的不变子空间是非常困难的，本文主要研究Hilbert空间上一类对角算子的不变子空间和循环向量，给出了这类算子不变子空间和循环向量的完整刻画。

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。

In which the second order degenerate equations associated with square sum operators of Hormander vector fields are the most important classes. People are used to calling them subelliptic operators because they have properties similar to that of classical Laplacian.

由于该算子具有与经典Laplace算子类似的次椭圆性质，人们习惯上把由向量场构成的二阶线性及非线性算子通称为次椭圆算子，相应的方程称为次椭圆方程。

In this paper, we first give an example that the bilateral weighted shift operator in c_0space is hypercyclic operator and first solve the existence problem of hypercyclic operator in c_0or c_0(Z space . And then we investigate the property of weighted shift operator in c_0 space and an important property of the hypercyclic vector of weighted shift operator in c_0 space and c_0 space. At last we give the concept of weak hypercyclic operator and weak hypercyclic vector , and give the equivalence between the weak hypercyclicity and the hypercyclicity in l~1 space.

本文首先给出了c_0空间上的一个双边左加权移位算子是超循环算子的一个例子，首次解决了c_0 或c_0(Z 空间中超循环算子的存在性问题；接下来分别研究了c_0和c_0空间上的加权移位算子的性质以及c_0和c_0空间上的加权移位算子的超循环向量的一个重要性质，最后提出了弱超循环算子和弱超循环向量的概念，并且给出了I~1空间中弱超循环性与超循环性的等价性。

与向量算子相关的网络解释 [注：此内容来源于网络，仅供参考]

adjoint transformation：伴随算子

adjoint system of differential equations 微分方程的伴随系 | adjoint transformation 伴随算子 | adjoint vector 伴随向量

del operator：向量微分算子

Dellinger effect 戴令階效應 | del-operator 向量微分算子 | delta region 分流區;三角洲

unitarily equivalent operator：酉等价算子

unit vector 单位向量 | unitarily equivalent operator 酉等价算子 | unitarily equivalent representation 酉等价表示

vector of the same direction：同方向向量

vector norm 向量范数 | vector of the same direction 同方向向量 | vector operator 向量算子

vector of the same direction：同方向向量 本文来自:博研联盟论坛

vector norm 向量范数 本文来自:博研联盟论坛 | vector of the same direction 同方向向量 本文来自:博研联盟论坛 | vector operator 向量算子 本文来自:博研联盟论坛

vector operator：矢算子, 向量算符, 向量自旋算符

hodman 小工 | vector operator 矢算子, 向量算符, 向量自旋算符 | haole (夏威夷的)白人, 非土著

vector operator：向量算子

vector of the same direction 同方向向量 | vector operator 向量算子 | vector polygon 向量多边形

vector operator：矢量运算子, 矢算子, 向量算符

410. vector operation 向量运算, 矢量运算 | 411. vector operator 矢量运算子, 矢算子, 向量算符 | 412. vector phase 矢量相位

vector operator：向量算子 本文来自:博研联盟论坛

vector of the same direction 同方向向量 本文来自:博研联盟论坛 | vector operator 向量算子 本文来自:博研联盟论坛 | vector polygon 向量多边形 本文来自:博研联盟论坛

vector polygon：向量多边形

vector operator 向量算子 | vector polygon 向量多边形 | vector potential 向量势