查询词典 skew-symmetric

In this paper,on the basis of the exact solutions for the antiplane and plane symmetric cases,the exact solution of the plane anti-symmetric case has been obtained.

在反平面及平面对称情形的精确解的基础上严格地求出了平面界面横向裂纹反对称问题的精确解。

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。

Exploiting this property, we derived several necessary constraints on the number of symmetric/antisymmetric filters, which help to design multiwavelets with the desired symmetric property.

为此首先系统的调查了对应于两种类型对称性的m带紧支撑正交多小波的对称性质，即用滤波器和多相矩阵刻画了多小波系统的对称特征，并由此得到正交多小波系统中对称反对称元数目的约束条件，这对于后来对称多小波的设计是非常重要。

Firstly the Pauli decomposition is used to separate both the symmetric part and antisymmetric part of a multi-look image, then the Krogager decomposition is applied to extract the polarimetric feature of the symmetric image, at last an AdaBoost classifier is adopted to improve the classification performance.

首先利用Pauli分解分离出多视复图像数据的对称部分和非对称部分，然后利用Krogager分解提取出对称部分的极化特征，最后利用AdaBoost算法对所提取的极化特征进行分类。

The odd L yrast states can be either symmetric or antisymmetric, while the even L ones are only symmetric under the permutation of the two components.

我们证明了，对于奇角动量和偶角动量，yrast态有不同的行为，即在两分量间的置换下，奇角动量态可以是对称的，也可以是反对称的，而偶角动量态仅存在对此解。

For interpreted preceding N terms of inner product of arithmetic progression with 2-order symmetric sequence with property of sequence the expression is be made up of the same like with generalized diagram multiplication method symmetric formula.

利用对称数列性质分析等差数列与二阶对称数列的内积，建立与广义图乘法对称型公式一致的数列内积的对称型公式。用算例说明公式在求弯矩、数列和概率中的应用

In this paper, an extended divide and conquer algorithm is intended proposed, which is for solving the real symmetric band generalized eigenvalue problem under distributing environment Eigenvalue partition theorem is presented and proved Based on divide and conquer by extension, this algorithm computes generalized eigenpaires of symmetric band matrix pencil by bisection and generalized Rayleigh quotient iteration Theoretic analysis and numerical results show that this algorithm is better than the classic software package LAPACK when bandwidth is small and the scale is large Combined with multisection, which has good parallelism, it got good effects under distributed environments

提出了分布式环境下计算对称带状广义特征值问题的一种扩展分治算法，给出了特征值分割定理及其证明算法在扩展分治的基础上，利用二分压缩结合广义Rayleigh商迭代计算广义特征对理论分析和数值实验表明，对于窄带宽大规模的广义特征值问题，该分治算法明显优于LAPACK软件包结合并行性好的多分法，在分布式环境下获得了很好的并行效果1 引言本文研究了对称带状广义特征值问题Ax =λBx ( 1)的并行计算，其中，A ，B均为半带宽为r的n阶实对称带状矩阵且其中之一是正定的本文总假设B是正定的求解此问题有两种传统方法，第1种方法是通过计算矩阵B的Cholesky分解，将问题( 1)转化为标准特征值问题[1～3] ，进一步

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

However,authors still do not find the relevant references on convergence and symmetric problems of the semi-analytical solution.Based on the semi-analytical solution for Hamilton canonical equation theory,the formulations of the clamp and simply supported and symmetric boundary conditions on the Hamiltonian element are derived by the variational principle.Several numerical examples show that with increase of meshes,the convergence rate of the semi-analytical solution is faster than the convergent rate of traditional finite element method based on displacement.

①在厚度上没有任何位移和应力模式的假设，由于传递矩阵方法的引入，从理论上讲，不受板壳厚度或层合板壳层数的限制；②采用弹性力学的Hamilton正则方程半解析法，可以克服边界的局部化效应[8]；③由于在平面内或圆柱壳的曲面内采用了有限元法，所以一般的板壳问题不受结构侧面边界条件的限制，在复杂工程板壳问题上具有广泛的应用领域。

The results show that, when the computational error and its accumulation are eliminated effectively, the laminar flow in OFR with perfect-symmetric boundaries behaves in a pattern of central symmetry and circumferential uniformity while the turbulent flow field presents a centrally symmetric and circumferentially non-uniform structure with 8 transverse vortices arrayed circumferentially in a way of central symmetry, similar to Taylor vortices in Couette flow.

模拟结果表明在有效消除计算随机误差以及误差积累的情况下，几何边界理想对称OFR内的三维层流流场呈现出良好的中心对称性和周向均匀性，而湍流流场中心对称的同时呈现出周向非均匀结构－在圆周上生成8个中心对称排列的横向漩涡，其形态与Couette流中的泰勒涡类似。

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.

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This new product will become our best seller.

这个新产品会成为我们最畅销的产品。