查询词典 antisymmetric

In chapter 3, the paper proposed a new kind of preference relation, i.e. distance preference relation; followed this, a scale was introduced for constructing antisymmetric matrix, and consistency of the matrix was defined, three methods for computing priority vector were studied; At the end, two examples were used to demonstrate the application of the new method,and they showed that the introduction of antisymmetric matrix to AHP is effective and valuable.

本文首先对Saaty AHP的几种常见标度进行了比较分析，然后对正互反判断矩阵及模糊互补判断矩阵的权重计算方法进行了归纳和总结；最后，本文提出了一种新的偏好关系，即基于"差"的偏好关系，从而将反对称矩阵引入层次分析法，接着对新型偏好关系下判断矩阵的构造、一致性的定义与性质以及权重的计算方法做了初步的研究，最后用算例说明了新方法的应用，并做了相应的比较分析，结果表明采用基于"差"的偏好关系构造反对称矩阵拓展了AHP的应用范围，有一定的理论和应用价值。

Convergence of semi-iterative method was discussed by Varga, Young and HU Jia-gan when iterative matrix is symmetric. In this paper, using Chebyshev polynomial and its properties, we obtain the convergence of semi-iterative method for a class of antisymmetric iterative matrix.

本文依据Varga， Young，胡家赣书中介绍的迭代矩阵为对称阵时，半迭代法的收敛性的理论，以Chebyshev多项式及其基本性质作为基本工具，对一类反对称迭代矩阵，研究其半迭代法的收敛情况。

The least norm solutions of symmetric and skew antisymmetric matrix equations (A~TXA, XA — YAD)=(D, 0)are also considered. 3. The least-squares solutions and the least norm solutions of the quaternion matrix equations AX = B and XD = E are studied by using

借助四元数的复表示方法，研究四元数矩阵方程组AX=B，XD=E的最小二乘问题和极小范数解的问题，并对主子阵约束下的方程组的解进行了讨论，得到了它们的显式表示。

The so called symmetric and antisymmetric Lamb waves are no longer symmetric and antisymmetric around the center line in the flat plate.

3在波结构上，对平板而言，所谓的"对称"和"反对称"Lamb波由于材料的梯度特性而变得不再严格的关于中心线对称或反对称。

This paper,by means of a new method,the graph theory,reanalyses the stability of antisymmetric discrete Hopfield networks,avoiding the construction of energy function.The nessesary and sufficient conditions for a network to converge to a cycle of length 4 are presented,and the number of cycles of length 4 associated with a p-order antisymmetric discrete Hopfield network is discussed,with some suspicions presented.

本文应用一种新的方法——图论方法重新系统地研究了反对称离散Hopfield网络的稳定性理论，这种方法回避了构造能量函数的麻烦，本文给出了网络收敛于长度为4的环吸引子的充分及必要条件，讨论了p阶反对称离散Hopfield网络含有长度为4的环吸引子的数目，并提出了几个尚待解决的猜想。

In this paper, we deal with the complete extension of a fuzzy relation and obtain the following main conclusion. Every reflexive,*-antisymmetric and *-transitive fuzzy relation can be extended to a complete reflexive,*-antisymmetric and *-transitive fuzzy relation, namely, every partial order can be extended to a linear order.

文章研究了一个模糊关系的完全扩张问题，主要结果为：一个自反的、*-反对称的*、-传递的模糊关系可以扩张成为一个完全的、自反的、*-反对称的、*-传递的模糊关系，即任何一个偏序都可以扩张成一个线性序。

The conclusion of this article contains:(1) The climatology symmetric index and antisymmetric index which represent the uniform system of ocean and atmosphere is defined according to the unique kinetic character of the large-scale fluid. The symmetric mode, a state mode, and antisymmetric mode, a propagate westward mode, of ocean and atmosphere are distinguished clearly from each other. Also, the primary part which determines the symmetric mode emerges from non-divergenct wind and the dominant part which contributes to the antisymmetric mode mostly is irrotational wind. The article also compares the disparity of the climatology distribution of SST and sea surface wind field between 1948-1975 and 1976-2005. The SST of both the tropical Indian Ocean and the tropical Pacific after 80's is warm than before 80's .

主要结论如下：(1)热带太平洋气候平均态所包含的海-气相互作用的资料分析根据海洋和大气的运动特性，定义了表征海洋大气系统的对称模态和反对称模态指数，通过两个指数对热带太平洋和印度洋关于赤道对称和反对称的两个模态进行区分，发现关于赤道反对称的海-气耦合模态主要包含了大气散度分量和海洋SST的相互作用；关于赤道对称的海-气耦合模态主要包含了大气旋度分量和海洋SST的相互作用，并从资料估算了该耦合模态向西传播的速度。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

Based on English definition of the six properties which a relation R defined on a set A and utilizing the logical characteristic of implications, two aspects of ordered-pair and the matrix MR are considered, and the properties of the R is analyzed one by one. A few useful conclusions are summarized as determining the properey of the R. The following collections are also analyzed between reflexive and irreflexive, symmetric and antisymmetric, symmetric and asymmetric and among irreflexive, antisymmetric and asymmetric.

根据定义在一个集合A上的关系R的六个性质的英文定义，利用蕴含式的逻辑特点，从有序对和关系R的矩阵M两个角度对每个性质逐一进行分析，得出在判定关系R的性质时可用的结论，并且分析了自反性与非自反性之间、对称性与反对称性之间、对称性与非对称性之间、非自反性和反对称性以及非对称性之间的联系。

In the Infrared spectrum of complexes, there are strong absorptions in ~1 660 cm-1 which can be ascribed to the antisymmetric vibration of the O -C -O unit in heterometallic multinuclear complexes. The different dates of antisymmetric stretching vibration of ox present two modes.

在红外光谱中，杂多核配合物在～800 c~(-1)有强的O—C—O反对称伸缩振动吸收，根据草酸根表现的非对称伸缩振动、对称伸缩振动的数值，判断出它们有两种不同的配位方式。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。