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adjoint space相关的网络例句

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Chavent's research for matching the history of production in a field by use of optimal control theory and through the research for the space of the adjoint function, we have extended the theory of adjustment for the ease of a single-phase system to a double-phase one.

Chavent利用最优化理论研究油气藏生产动态拟合的基础上,通过对伴随函数空间的研究,将辨识理论由单重介质系统扩展至双重介质系统,并针对原方法多解,迭代中易发生逸出、振荡、仅收敛于局部极小等困难,重点研究和探讨了改善问题的适定性和加速算法的收敛性问题。

In this paper, the author gives exact representation of the adjoint of composition operator on Hardy space.

该文给出了Hardy空间上的复合算子伴随的准确表达式。

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。

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。

Besides,we investigate the compatibility of the pair,where A is a bounded linear self-adjoint operator on a complex Hilbert space H and S is a closed subspace of H.

此外,对由一个自伴算子A和一个闭子空间S组成的元素对的兼容性进行了研究。

We have obtained the following main significant results:(1) A master constraint operator for LQG is constructed, which is shown to be self-adjoint in the diffeomorphism invariant Hilbert space. Thus it lays a foundation for the master contraint programme in LQG;(2) The Immirzi parameter ambiguity in LQG is fixed by introducing supersymmetry, which leads to the conclusion that in the case where matter fields are coupled LQG might prefer supersymmetry in low energy;(3) The current accelerating expansion of our universe is successfully explained in the context of 5-dimensional Brans-Dicke theory, which gives a natural strategy to solve the dark energy problem.

重要成果包括:(1)构造出圈量子引力的Master约束算符,并证明了其自伴性,从而为应用Master约束方法解决量子动力学的难题奠定了基础;(2)通过引入超对称合理地固定了Immirzi参数,得出了在与物质场耦合的低能情况下圈量子引力可能偏爱超对称的结论;(3)用五维Brans-Dicke理论成功地解释了当今宇宙的加速膨胀,从而给出了一个自然解决暗能量问题的方案。

In this paper, by computing the Laplace of the square of the length of the second fundamental form and introducing a self-adjoint operator and using Stokes Theorem and Hopf Theorem, we obtained some pinching theorems and rigidity theorems for hypersurfaces and submanifolds in hyperbolic space.

本论文通过计算双曲空间中子流形的第二基本形式模长平方的拉普拉斯和引进一个新的自共轭二阶算子,利用Stokes定理和Hopf定理得到了子流形的一些拼挤定理和刚性定理。

The research of this thesis focuses on the infimum and supremun of self-adjoint operators in a complex Hilbert space with respect to the Gudder order, the infimum and supremun of operators in a complex Hilbert space with respect to the *-order and theΓ-inverse of operators in a complex Hilbert space.

本文研究内容涉及Hilbert空间上自伴算子关于Gudder序的上确界和下确界,Hilbert空间上算子关于~*-序的上确界和下确界以及Hilbert空间上算子的Γ-广义逆这三个方面的内容。

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)。

In the first part of this paper, we give some basic concepts of regular Sturm-Liouville problems and some Sturm-Liouville problems with eigenparameter in the boundary conditions and the definition and properties of the Krein space. Using the Krein space, we describe a class of Sturm-Liouville problems with eigenparameter in two boundary conditions and prove that it can generate a self-adjoint operator in Krein space with only point spectrum.

第一部分我们介绍了一些基本概念如正则Sturm-Liouville问题、边界条件含参数的问题、Krein空间等,并利用Krein空间的定义和性质描述了一类参数边界条件的Sturm-Liouville问题,证明它可构造一Krein空间上的自伴算子,并且谱全为点谱。

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