查询词典 adjoint difference equation

Thenwe use adjoint operator method to compute normal form of order 7 for averaged systemswith Z2—symmetry and obtain relations between the coefficients of normal forms andthe coefficients of averaged systems.

然后利用共轭算子法计算了具有Z2—对称性的平均系统的7阶规范形，得到了规范形的系数与平均系统的系数之间的关系式。

In the first part,two methods calculating the coefficients of nilpotentclass normal forms are proposed.one is the iteration search method based onrepresentation theory of Li-algebra,and another is a new matrixrepresentation method based on the adjoint operator concepts,both are ableto be used to analyse the normal form problems with high orders and largedimensions efficiently.

在第一部分工作中，对于幂零类规范形的系数计算，分别提出了基于李代数表示论的迭代搜索的理论和方法以及基于共轭算子概念的新的矩阵表示的理论和方法，从而有效地解决了维数和阶数较高时的计算问题。

In the first part,we use adjoint operator method and matrixrepresentation method to compute normal forms of higher order for nonlinear dynamicalsystems with Z2—symmetry and Z2—asymmetry.

在第二部分里，利用多尺度法、规范形理论、普适开折理论、Melnikov方法和Petrov方法分别研究了参数激励作用下非线性振子、参数激励与强迫激励联合作用下非线性振子的局部分岔、余维2退化分岔、余维3退化分岔和全局分岔。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

Using the adjoint operator of PW, nine sites'PWs are successfully assimilated into the initial condition and altered the initial temperature, water vapor and wind field. The change varies with variable fields and pressure levels.

本文利用开发的用于同化可降水量和天顶延迟的模式，成功地将9个站点的大气可降水量的分布及变化信息同化到初始场中，从而使初始场在湿度场、温度场和风场方面较同化前得到改变，这种改变在不同变量场、各个层次上变化的大小和形势是不相同的。

Among numerous propositional logic systems, Lukasiewicz、Godel、Product and L~* have obviously merits, which are exist triangle norm * in [0, 1] withthe semantic implication operator→construct adjoint pairs.

del、Product与L~*这四种有着明显的优点，即存在[0，1]上的三角模*与它们赋值格[0，1]上的语义蕴涵算子→构成伴随对。

We discussthe propertiesofthe adjoint operator of unilateral weightedshift,prove that is astrongly irreducible Cowen- Douglas operator, and compute the 0 group of the commutant algebra of .

计算了代数я={f：f在开圆D盘上解析，在■上连续}的K_0群，讨论了内射单边加权移位算子的伴随算子的性质，证明了是强不可约的Cowen-Douglas算子，然后计算出的换位代数的K_0群

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。

We discuss the relation between elementary maps and ring isomorphisms, andwe give a characterization of elementary maps on stndard operator algebras on Banachspaces, JSL-algebras and nest algebras. For Jordan-triple elementeary maps, we provetheir additivity on a class of ring and show a relation of them with Jordan isomorphisms. Furthermore. we describe the Jordan elementary maps on standard operator algebrasand nest algebras. We also study the semi-Jordan elementary maps on effect algebrasand the space of self adjoint operators.

研究了算子代数上的初等映射和环同构的关系，完全刻画了Banach空间上标准算子代数，JSL代数和套代数上的初等映射；讨论了Jordan-triple初等映射的可加性以及它和Jordan同构的关系，进而完全刻画了Banach空间上标准算子代数和套代数上的Jordan-triple初等映射；刻画了效应代数和自伴算子空间上的semi-Jordan初等映射。

The example of a numerical prediction model shows the basic method of developing adjoint assimilation system of numeric predict model.

而后以一个数值预报模式为例，说明了构造伴随模式同化系统的基本方法。

It inculcates justification before God on the ground of human merits.

它说明在上帝灌输在地上人类优点。

TH Leaguer has excellent Quality Control and Management System.

本公司具有完善的品管部门。