查询词典 sobolev space

The results prove that T*1 S-closed space and T2 S-closed space are identical and that the regular S-closed space and normal S-closed space are the same. Therefore, to make T*1 space X become the complete conditions of S-closed space is the X extremely unconnected H-closed space, while S-closed space X can be measured as the complete condition X of S-closed T1 normal (A1) space.

首先讨论了S-闭空间的分离性，证明T*1型的S-闭空间与T2型S-闭空间是相同的，正则的S-闭空间与正规的S-闭空间是相同的，从而得到要使T*1型空间X成为S-闭空间的充要条件是X为极不连通的H-闭空间， S-闭空间X可度量化的充要条件是X为S-闭的T1型正则(A1)空间。

Besides, the author also give a detailed analysis and conclusion from the four levels of the total layout, building flat surface layout, building space and the exterior space shape. First, the thesis analyzed the race building, aim at the special natural environment and social milieu, i.e. how its total layout is; the concrete nature adaptability to the natural and social features. Second, this thesis analyzes the feature of layout in this origin with the examples of store, house, general residence, house, courtyard, public buildings and the clues of person's living mode. Furthermore, the thesis launches from street space, courtyard space, indoors space to explore the villages and living room of the nationalities such as 汉,土家,苗,侗. Finally, the thesis gives a specific analysis of the exterior space and nature factor, unreasoned composition of exterior space and fortuity, the relationship between the exterior space and function, the exterior space and geography and hang feet floor and horoscope doors and fence etc.

首先，论文分析了民族建筑针对特殊的自然环境与社会环境，其总体布局如何；具体体现自然适应性和社会适应性的特色：其次，论文以店宅、一般住宅、宅院、公共建筑四种湘西民族建筑类型为主，以相应的人的生活模式为线索，分析湘西民族建筑的平面布局特色；再者，论文从街道空间、院落空间、室内空间三个部分展开，同时对湘西地区汉族、土家族、苗族、侗族的村镇和民居建筑空间分别进行了颇有民族特色的着力探寻；最后，论文分外部空间造型与自然因素、外部空间造型的非理性与偶成、外部空间造型与功能关系、外部空间造型与地形关系、吊脚楼及八字门与围墙等六个部分，具体分析湘西民族建筑外部空间造型特色。

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）。

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。

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The Fifth Chapter analysises the practical example of the historied campus exterior space plan for 100-year-history universities in Shanghai. It includes the space structure, the transportation space, and the space detailed point such as space before campus, central square, space closed to water, space in the entrance of main buildings, etc.

第五章，对上海百年高校老校园建筑外部空间进行实例分析，从空间结构入手，分析校园交通空间，进而展开对各主要空间节点的研究，包括：校前空间、中心广场、亲水空间和重点建筑入口空间等等。

It provides a streamlined and quick introduction to read.freeduan.com the fundamental concepts of Banach space and Lebesgue integration theory and the basic notions of the calculus of variations, including Sobolev space theory.

天气提供一精简和迅速的的介绍read.freeduan.com Banach 空间和Lebesgue综合理论和变分法的基本观念的基本概念，包括Sobolev 空间理论。

The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。

We present the preliminary knowledge in Chapter 2,which includes the main properties of Sobolev Functional Space,the calculus on the Banach Space and the existence and uniqueness of the solutions of parabolic equations.

第二章给出了本文的预备知识，即Sobolev函数空间基本性质和Banach空间上的微分学，以及抛物型方程解的存在唯一性。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。