查询词典 adjoint form

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。

How to establish the adjoint medel is discussed by using the Gateaux differential of function and the concepts of the adjoint operators in Hibert space. At the same time it is verified that selecting proper finite difference scheme can ensure discrete form remaining the same adjoint r...

文中利用泛函的Gateaux微分和Hilbert空间上伴随算子的概念讨论了连续的伴随模型的建立，并通过选择适当的差分格式离散伴随模型，使其保持连续时的伴随关系，同时给出了水温初始场最优化过程及相应的同化试验数值结果。

Furthermore data assimilation experiments are conducted with MM5 Adjoint-model Assimilation System made by adjoint codes. With a case of heavy rainfall taking place from 00h July 23 to 00h July 24,2002, several numerical simulation experiments of different schemes are performed. The results are as follows. MM5 Adjoint-model Assimilation System not only can improve the initial field effectively and promote the coordination with the model but also can enhance the forecast on the precipitation and other elements. The assimilation of CDW has an improvement on quality of upper wind. The effect of direct numerical simulation with utilizing the CDW to amend the initial field gains the advantage over the one not.

结果表明，MM5伴随模式同化系统能有效改善初始场与模式的协调能力，提高模式对于降水场和其它要素场的预报；使用云导风资料修正初始场后直接模拟的效果比未使用时直接模拟的效果要好，对部分区域的强降水预报精度有一定程度的改善；使用伴随模式同化系统后，加入云导风资料的同化试验对其它要素的改善与直接同化常规资料的效果相比，改善优势不明显，但从各要素的误差来看，对于风场的改善最好。

Firstly,by using the estimating methodfor the compact embedding operators(from weighted Sobolev space to the weighted〓space),we obtain a necessary and sufficient condition for the discreteness of thespectrum of certain differential operators.Secondly,based on the property of thespectrum of difinitizable operators on the Krein space,we consider the left definitedifferential equations with middle deficiency indices,and give a completecharacterization for self-adjoint(J-self-adjoint)differential operators in theindefinite inner product space 〓.Especially,we prove that all the J-self-adjoint differential operators are definitizable.

我们首先运用加权Sobolev空间到加权〓空间嵌入算子紧性的判别方法，证明一类加权自伴微分算子具有离散谱的充要条件；然后，基于Krein空间上可定化算子谱的性质，对于具中间亏指数的左定型微分方程，建立其相应的微分算式在不定度规空间〓上所生成自伴算子的完备性刻画（特别证明了J-自伴微分算子具有可定化性）。

We also give all positive self-adjoint extensions ofsingular differential operators,and all positive self-adjoint operators generated by theproducts of differential expressions 〓,where l is an nth order differentialexpression.The result that each positive self-adjoint operator is not necessarily theform of operator product 〓.This answers an open problem proposed by theauthors recently.

我们也给出了奇型微分算子的所有正自伴扩张形式及乘积微分算式〓所诱导的所有正自伴算子形式，证明〓所诱出的正自伴算子不必须是由算子乘积〓为l所生成的算子）的形式，从而回答了作者新近提出的一个公开问题。

Firstly, we define the Killing form over any finite dimensional Hopf algebras using the adjoint action, then we investigate the fundamental properties of the Killing form, and obtain a decomposition of Hopf algebras under the adjoint action.

首先，利用Hopf代数的伴随作用定义了有限维Hopf代数上的Killing型，并讨论了Killing型的基本性质，得到了Hopf代数上的伴随表示分解式。

Adopt ASP. NET 2003 is regarded as the developing instrument, the design of storehouse of the data follows 3 normal form :, have designed the coding schedule of goods and materials mainly, tombarthite product structure catalogue, basic information slip of the job centre, route form of the craft , project code of the expenses, journal ledger of the cost of goods, subsidiary ledger of the cost of goods, department's form, measurement unit form, the supplies inventory safeguards the counting type structure form, real expenses form, share the proportion form in power of kinetic energy, salary expenses share proportion form, amortization charge share proportion , maintain expenses share proportion , test expenses share proportion , main frame left menu tree form , material price list ,etc. data list

采用ASP 。NET 2003作为开发工具，数据库设计遵循第三范式，符合第二范式的条件，每个非关键字属性都仅由关键字决定，而且一个非关键字属性不能仅仅是对另一个非关键字属性的进一步描述(即一个非关键字属性值不依赖于另一个非关键字属性值)。，主要设计了物资编码表、稀土产品结构目录表、工作中心的基本情况表、工艺路线表、费用项目编码、产品成本总帐、产品成本明细帐、部门表、计量单位表、物料清单维护数型结构表、实际费用表、动能功率分摊比例表、工资费用分摊比例表、折旧费用分摊比例、维护费用分摊比例、化验费用分摊比例、主框架左菜单树表、材料价格表等数据表。

In this paper, the determinant and adjoint for a lattice matrix are studied, and some properties of the determinant and adjoint for lattice matrices are given.

研究了格矩阵的行列式与伴随矩阵，给出了它们的一些代数性质，同时给出了由一个格矩阵构造一个传递矩阵的方法。

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

Emam gave the adjoint of fuzzy matrix and the property of adjoint of fuzzy matrix.

Emam提出了模糊矩阵的伴随矩阵以及伴随矩阵的性质。

Who? I never heard of him, Paul said, before asking teammate James Posey if he had heard of him.

赛后，科比说，他一直都是一名非常出色的射手，今天他打得很棒。

When I joined the company, I rotated around the different sections.

我加入这个公司时，轮换过几个不同的部门。