查询词典 adjoint difference equation

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, we also obtain a sufficient condition for the discreteness of spectrum of 2n-th order J-self-adjoint differential operators.

最后，本文还给出了2n阶J-自伴微分算子的谱是离散的一个充分条件。

The stability region estimation of the singularly perturbed systems can be replaced by that of the adjoint systems, and an optimization method based on linear matrix inequality was provided to reduce the conservativeness in the estimation.

将原系统稳定域估计问题转化为低阶伴随系统稳定域的估计问题，利用线性矩阵不等式(Linear matrix inequality， LMI)优化方法估计伴随系统的稳定域以减少保守性。

About Dirac eigenvalue problem with general two points' liner algebra, corresponding operator of which often is non-self-adjoint operator.

对于一般两点线性边界条件下的Dirac特征值问题，相应的算子一般说是非自伴的。

The vertical diffusivity coefficient of the South China Sea is studied by the adjoint data assimilation method in this thesis. The satellite data SST and the harmonic constant of M2, S2, Kb 0, extracted from TOPEX/POSEIDON satellite altimeter are used in data assimilation. So the average of the vertical diffusivity coefficients of the South China Sea in the thermocline in January, April, July, October, 1997 are2.2 10-4/m2s-1, 7.8 10-5m2s-1 , 1.0 10-4m2s-1 , 1.0 10-4m2s-1 respectively.

本文是用伴随同化的方法研究南中国海垂直混合系数，将卫星观测SST数据和从TOPEX/POSEIDON卫星高度计提取的M_2，S_2，K_1，O_1分潮调和常数作为同化资料，得出1997年1、4、7、10月份的南中国海在温跃层处的垂直混合系数，它们的平均值分别是2.2×10~(-4)m~2s~(-1)， 7.8×10~(-5)m~2s~(-1)，1.0×10~(-4)m~2s~(-1)，1.0×10~(-4)m~2s~(-1)。

Further, according to the positity of the Hessian matrix, which is got from the second order adjoint model, the uniqueness of the assimilation result is manifest. And the relationship between the rate of convergence and the frequency of the observation utilization in the assimilation is investigated.

进一步，借助二阶伴随模式所得到的Hessian矩阵，说明同化解是唯一的，并分析了优化算法的收敛速度与同化过程中观测资料使用频率的关系。

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。

Mainly in a method of the lattice vector quantifying coding and decoding, a new basic code book is selected out and directly or indirectly comprises all points whose value is less than or equal to 3 of any dimension in a RE point set, and points on a fourth grade hypersphere in the basic code book are all odd points so that part of nearest adjoint point values can be comprised in the basic code book only via corresponding odd number processing.

一种格矢量量化编解码的实现方法及装置，其主要是在格矢量量化编码方案中，选定新的基础码本，在该基础码本中直接或间接地包含了RE 8 点集中任意维的数值小于等于3的所有点，且该基础码本中的第4级超球面上的点全部为奇数点，以使得部分的最近邻点数值仅经过相应的奇数化处理便可以包含于基础码本中。

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。

For self-adjoint operators A and B, we show that there exists A∧_G B and establish the explicit representation of A∧_G B, where A∧_G B denotes the infimum of A and B associated with the Gudder order.

本文共分为三章，各章的主要内容如下：第一章通过空间分解和算子分块，研究了Hilbert空间上自伴算子关于Gudder序的确界性质。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切