查询词典 operator

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。

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。

We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition , substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

The notion of the adjoint operator of amodule homomorph ism defined on a densely submodule of a comp lete random inner p roduct module is introduced and discussed, in particular the closedness of adjoint operators is p roved.

摘 要 对定义在完备随机内积模的稠子模上的模同态引入了共轭算子的概念并讨论其基本性质，尤其证明了共轭算子的闭性。

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。

In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.

本论文建立了系统的暗孤子直接微扰方法，在对前人关于暗孤子微扰方法的错误以及亮孤子直接微扰方法的本质作了充分的分析后，认识到引入平方Jost解的伴随解和证明完备性是问题的关键，撇开过去亮孤子情况首先引入伴随算子的非必要作法，直接从平方Jost解与其伴随解的内积在连续谱时正比于δ函数这一正交性要求出发，找出了伴随解，同时得出了应有的伴随算子，在考虑到约化变换性后，得到了暗孤子情况的平方Jost解的完备性的正确表述，并在单个暗孤子的情况利用平方Jost解的显式直接验证了它的正确性。

This paper introduce a kind of tool — aggregation operator.

本文介绍了一种这样的工具—信息集结算子。

"In the past, nearly all our customers used to ask us to disguise the labeling on our packages so they looked like they were cosmetics or something, but now we get much fewer of those type of requests," Norie Oda, operator of the Happy Woman adult aid shop, tells Shukan Post.

"快乐成年女人助性商店"Norie Oda告诉Shukan邮报：过去几乎所有的客户都会要求我们给助性器的外包装做一下掩饰，让它们看起来更象化妆品等东西，但现在这样的请求微乎其微。

Great. What repertoire did you see?

太棒了。你看的是什么剧目？

I prepared not to accept such ridiculousness:"Please," I said to him.

我可不想理会这套荒谬的东西："请你通情达理一点儿。"