两对称

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。

The last three joints of PБ-211 robot are controlled by symmetric valve controlling asymmetric cylinder system.

由于对称阀控制非对称缸两个运动方向上系统的开环增益及某些参数的不同，使得两个方向上的动态特性不对称，主要表现在超调量、调节时间、振荡次数和稳态误差等几个方面，这种本质上的非线性和非对称性给系统控制带来困难。

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。

For example, Keyfitz made the classification of the bifurcations in one state variable, without symmetry up to codimension 7; Golubitsky and Schaeffer obtained the classification of the bifurcation problems in one state variable with Z_2 symmetry, in one parameter up to codimension 3; Golubitsky and Roberts studied the classification of degenerate Hopf bifurcation in two state variables with dihedron D_4 symmetry, in one parameter up to topological codimension 2; Melbourne obtained the classification of bifurcations in three state variables with octahedral symmetry, in one parameter, up to

需要指出的是以上研究均没有考虑分歧参数的对称性，Futer，Sitta和Stewart的工作虽然考虑了分歧参数的对称性，但仅限于分歧参数与状态变量具有相同的对称性，他们得到了状态变量与分歧参数均关于二面体群D_4对称，拓扑余维数不大于1的分歧问题的分类。高守平和李养成则讨论状态变量和分歧参数均具有对称性且对称性可以不同的分歧问题，并给出了状态(来源：A770707BC论文网www.abclunwen.com)变量关于二面体群D_4对称，分歧参数关于S~1对称，拓扑余维不超过1的分歧问题的分类。本文第一章讨论两个状态变量关于二面体群D_3对称，两个分歧参数关于O(2)对称的分歧问题，给出了该类分歧问题在非退化条件q(0)≠0下所有情形的分类与相应的识别条来源：AdadaBC论文网www.abclunwen.com

Firstly,the generic conception of symmetry for a real sequence was proposed,and then,the symmetry-decomposition and the symmetric degree sequence are presented,which are deduced from the projection theory,the orthogonal-decomposition theory in inner product space and .

首先提出序列信号一般意义下的对称概念，然后由内积空间中的投影、正交分解理论以及内积量化两个信号线性相关程度的特性导出任意信号的对称分解及对称程度序列，对称程度序列定量刻画了信号随对称点的变化时对称特性的变化，在此基础上得出任意序列信号对称程度的定量指标——对称性指标。

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。

There are two independent molecules of ZnL or Co(IIL and two water molecules in one asymmetric unit of complex 1(or 2), the crystal structure of CuClL1·2H2O consists of one molecule of CuClL1 and two water solvate molecules in the asymmetric unit, while the ZnL·CH3OH (4) comprises of one molecule of ZnL and a methanol molecule in per unit.

在这四个金属配合物中，配合物(1)和配合物(2)的每个不对称单元中有两个独立的ML 分子和两个水分子，配合物(3)的每个不对称单元中有一个CuClL1分子和两个水分子，而配合物(4)的每个不对称单元中只有一个ZnL 分子和一个甲醇分子。

There are two independent molecules of ZnL or Co(IIL and two water moleculesin one asymmetric unit of complex 1(or 2), the crystal structure of CuClL_1·2H_2O consistsof one molecule of CuClL_1 and two water solvate molecules in the asymmetric unit,while the ZnL·CH3OH (4) comprises of one molecule of ZnL and a methanolmolecule in per unit.

在这四个金属配合物中，配合物(1)和配合物(2)的每个不对称单元中有两个独立的MLZn(IIL、CoL分子和两个水分子，配合物(3)的每个不对称单元中有一个CuClL_1分子和两个水分子，而配合物(4)的每个不对称单元中只有一个ZnL分子和一个甲醇分子。

In this paper we separate the Hamiltonian into three parts: a spherical symmetry Hamiltonian; a z-component of the angular momentum operator, and a non-spherical symmetric potential as the perturbation operator, and provide a propose method by separating the potential containing squared magnetic field B^2 into two parts spherical symmetric and non-spherical symmetric ones so that the first-order energy correction due to the non-spherical symmetric potential is zero, and the second-order correction due to B^2 can be obtained by a simple variational method.

采用变分法和微扰法相结合的方法，把高强度磁场中氢原子的哈密顿H分为三部分：球对称哈密顿；z分量角动量算符相应部分和非球对称势微扰，并用一种特别规定的分解法将哈密顿H中含磁场平方项的势能分解为球对称与非球对称两部分，且使非球对称部分引起的一级修正能量值为零，并采用一种简便的变分法直接求出B^2对能级的二级修正值。

The cable-stayed bridge with single tower usually includes two types: bilateral symmetry and bilateral asymmetry.

独塔斜拉桥一般分为两跨对称式和两跨不对称式两种，实际工程中由于地质、地形、水文等情况，往往采用两跨不对称形式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。