查询词典 symmetric

To the adjacency matrix is not necessarily symmetric.

有向图的邻接矩阵不一定对称的。

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先讨论了正则和奇异两种情况下两个极限圆型三阶对称微分算式生成的微分算子的乘积的自共轭性，运用矩阵分析和计算，得到了乘积算子为自共轭算子时边界应满足的充分必要条件，同时得到了幂算子的自共轭性、自共轭算子乘积的自共轭性等乘积算子的其它若干性质。

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

In the last chapter,we study the control problems of the distributedparameter system governed by a class of higher order pseudohyperbolicequation related to the symmetric regularized long wave equation.we havediscussed the controllability and optimal control problems.we have obtainedcompatibility condition of the constraint when the state is controllable,therepresentation of the optimal control for both the time optimal control problemand the optimal control problem of minimum energy type,and the equationsatisfied by the minimum time.we have shown that the optimal control belongsto the boundary of the admissible control set.

在第六章中，我们研究了与对称正则长波方程相关的一类高阶拟双曲型方程支配的分布参数系统的控制问题。讨论了系统的状态能控性问题和最优控制问题，给出了状态能控时的约束相容性条件，给出了最速控制问题、最小能量型最优控制问题的最优控制表达式和最速时间所满足的方程式，证明了最优控制属于控制集合的边界。

The research results suggest that:(1)the factors influence the control of IOR including economic,social and technological factors;(2)the application of interorganizational systems should focus on both technological and non-technological factors;(3)the stronger dependency between organizations, the more effective of the IOS reducing the coordination costs;(4)usually the investment of firms in interorganizational relationship is reciprocal;(5)the appicaton of IT changes the dependency between organizations, which should modify the coordination mechanism, resulting in the change of IOR;(6)the coordination cost affects the effectiveness of coordination among firms;(7) maintaining the interorganizational relationship influences the firms'' network life cycle and matureness;(8)both coordination cost and network size of firms affect sharing mechanisn of the costs and benefits for creating and maintaining interoganizational relationship;(9) the influence of coordination costs to the allocation of super profits deriving from interorganizational relationship is depent on the network topology;(10) the core firm in a network prefer the symmetric network.

我们的研究成果表明：（1）影响管理与控制IOR治理结构的因素有经济因素、社会学因素以及技术因素；（2）在应用组织际信息系统时，要同时关注技术和非技术的影响因素；（3）当组织之间存在较强的依赖关系时，组织际信息系统的应用能够有效减少组织之间的协调成本；当组织之间的依赖关系较弱时，组织际信息系统的应用会加深组织之间被对方侵占的风险，无法显著地减少组织际协调成本；（4）在通常情况下，参与组织际关系的成员的投资是互补的；（5）IT的应用会改变组织间的相互依赖性，组织应调整协调机制，而协调机制的变化会改变IOR；（6）协调成本的大小对协调有效性有着很大影响；（7）组织际关系的维护影响组织网络的生命周期和成熟度；（8）影响组织际关系建立和维护的成本分担和利益共享方案的因素不仅仅跟协调成本有关，而且还与网络规模有关；（9）在对称网络拓扑结构与非对称网络拓扑结构下，协调成本对超额回报分配的影响是不同的；（10）核心企业倾向于选择非对称的网络结构。

An adaptive grid scheme controlling cell area is used to generated grids in the divergent section of symmetric annular nozzle, and the generated grids are used in the flowfield calculation through the uncoupled way. The elliptic equations are used to generate grids in three dimensional regions of FDN divergent section, the source terms used in the equations employ a mathematical form which is independent of the boundary shape and of the boundary grid point distribution, the free parameters contained in the source terms are determined by the two restraint conditions, the intersection angle of transverse grid lines with boundaries and the local curvature of the transverse grid lines at the boundaries, and the interior grid distribution controlled directly by the grid point distribution assigned on the boundaries is realized, it makes the grid more clustering near the nozzle wall. For the generated grids in the whole computational regions have a good smoothness and orthogonality, the accuracy of calculation in the flowfield is ensured.

对轴对称的环形喷管采用控制网格面积的自适应网格方法对扩散段部分进行了网格生成，并通过非耦合方式应用于喷管的流场计算中；对强制偏流喷管扩散段内的三维区域采用椭圆型方程进行网格生成，方程中的源项采用了与边界形状和边界网格点分布无关的数学形式，源项内的自由参数由横向网格线与边界的交角及横向网格线在边界处的局部曲率两个约束条件来确定，实现了由边界上的网格分布直接控制内部的网格点，使壁面附近具有较密集的网格，并且在整个计算区域内的网格都具有良好的光滑性和正交性，从而保证了流场计算的准确性。

Theoretical calculations show that the angular distribution of the forward and backward products is roughly symmetric for the title reaction.

理论计算的结果发现，这个反应体系的前向和后向的角分布基本是对称的。

I hope that this text sheds a new light on some aspects of the Driac theory which to my knowledge have not yet found their way into textbooks, for example, a rigorous treatment of the nonrelativistic limit, the supersymmetric solution of the Coulomb problem and the effect of an anomalous magnetic moment, the asymptotic analysis of relativistic observables on scattering states, some results on magnetic fields, or the super symmetric derivation of solutions of the mKdV equation.

狄拉克方程》序言——翻译对吗？

Through systemic energy comparison and energy analysis between symmetric and asymmetric TBT, parallel and antiparallel TBT, as well as the conjugate TBT, we found: i.

对于对称单体，平行TBT的能量通常低于反平行TBT的能量，对于对称三体，平行TBT的能量通常高于反行TBT的能量。

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 absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。