查询词典 hilbert space

However, Jiazhangke's films create the space by using motion, shooting scale ,the relations among performers and the transportation and a outer space of image in Jia's films is also created through dispatching the shot, performers and multiple space ,refering to which this text reexplains and conformities the film's concept of space and analyses how to create the space using audio in order to formulate Jia's understandings to space――the film space view of "non-mirror-image" and the inherent tension and open space idea taking root on the reality.

本文通过对电影空间概念的重新诠释和整合，以及对贾樟柯利用运动、景别、人物关系和交通工具营造空间，通过贾樟柯对影片中镜头、演员、多重空间的调度，创造画外空间，和用声音创造空间等实证性的分析，阐述了贾樟柯对空间的理解——非镜像化的电影空间，以及这种理解扎根于当下、立足于现实而形成的内在的张力和开放式的空间观念，揭示了他的作品独特的空间观念及这种空间观念对中国电影民族化的影响。

Next,this investigation found on literature and autoptical,taking pavement technique of square space,street space,waterfront,park space etc.as research target. We selected classical cases to investigate the influence of pavement technique to landscape space distribution,space sequence,axes line construct and visual guide.The author clarified the influence of pavement texture,color,figuration,scale and borderline to landscape space order in special landscape space.Then summarized three basic pavement design techniques that be applicable to modern landscape design and construct landscape space order.

其次在研究文献和实地调查的基础上，以广场空间、街道空间、滨水空间、景区等景观空间的展装手法作为研究对象，选取经典案例，通过研究展装设计手法对景观空间整体布局、空间序列组织、轴线塑造及视觉引导等方面对于景观空间秩序的影响，阐明在具体景观空间中展装材质、展装色彩、展装构型、展装标准、展装边界等要素的组织和对景观空间秩序的影响，进而回结出适用于当代景观设计并能够营造景观空间秩序的三种基本展装设计手法，及其在各类景观空间中的具体应用。

So an inner product space is automatically a normed linear space, and a Hilbert space is automatically a Banach space.

我们定义了线性映射的厄米共轭：对所有的，，(1)从而定义了中的内积：对(2)注意，由(1)可见与不同。

With Hilbert space filling curve and latent semantic index, MLSQ maps similar data objects in high dimension semantic space into an adjacent range in one dimensional value space, and considers every data object sequence number in one dimensional space as a key. MLSQ distributes the keys to adjacent nodes of structured P2P systems. By embedding the process of searching data points of HSFC into the nodes of structured P2P networks and using the data search mechanism of networks, MLSQ can facilitate to search the data objects in accordance with query requirements.

该方法利用Hilbert空间填充曲线和潜在语义索引，将高维语义空间中相似的数据对象映射到一维数值空间中的邻近区域中，并以每个数据对象在一维数值空间中的序号作为键，将数据对象的索引分布到有组织P2P网络邻近的结点上，通过将HSFC中数据点的查找过程嵌入到有组织P2P网络的结点上，再利用网络的数据查找机制，MLSQ可方便地搜索到符合查询要求的数据对象。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

Fractional Hilbert transform, a generalization of Hilbert transform from integral order to fractional order, extends the application fields.

基于广义Hilbert变换将传统的Hilbert变换由整数阶向分数阶的推广，其应用领域也得到了扩展。

The method ofsolution for linear discrete Hilbert boundary value problem on the unit circleis illustrated and it is proved that,in case of the index〓,the solutionsof the discrete Hilbert problems are stongly convergent to the solution of theoriginal problem.

我们给出了单位圆上线性离散Hilbert边值问题的解法，并且证明了当问题的指标k=0时离散Hilbert边值问题的解强收敛于原Hilbert边值问题的解。

Chapter 2 converts the solutions of saddle point problems in Hilbert spaces intothe equilibrium points of some dynamic system by means of the projection method,and gives some conditions of global asymptotic stability by extending the LaSalleinvariance principle to Hilbert spaces.

第三章把约束鞍点问题转化为等价的无约束问题，然后利用投影法构造了一个神经网络模型进行求解，并利用第二章结论证明了在适当条件下，模型大范围收敛于问题的精确解。

The different width and length of Hilbert curve geometries were investigated by finite element method. The computation results show that the DGS rejects the signal at two frequencies 2.43 GHz and 7.11 GHz from 0~9 GHz with more than -15 dB suppression. Q factors of the Hilbert curve DGS is bigger than that of conventional DGS.

通过有限元法对不同Hilbert曲线宽度和长度的DGS结构微带线进行计算，计算结果表明，该结构在0~9 GHz频段内表现出2.43 GHz和7.11 GHz这2个谐振频率，对应频率的通带反射损耗低于-15 dB，并且阻带特性在谐振频率处比传统DGS微带线有更高的 Q 值。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。