空间化

To obtain the function and imbedding properties about relative countable tightness spaces,in this paper the question whether the relative countable tightness space can be adversely preserved by a closed map is studied by means of function and imbedding theories.

为了得到相对可数紧度空间的映射及嵌入性质，借助映射方法和紧化理论讨论了相对可数紧度空间被闭映射逆保持问题及嵌入紧空间问题，得到了相对可数紧度空间被闭映射逆保持的一个充分条件、局部紧的可数紧度空间可嵌入紧空间的几个充分条件以及某一类局部紧空间在任意紧化中不具有可数紧度等结果。

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。

In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

本论文描述了量子色动力学整体色对称模型哈密顿量方法的构建过程，得到了反映正反夸克对凝聚真空结构的关于组分夸克的有效哈密顿量算符，它隐含了胶子作用，并且准确至流-流耦合项；接着，通过参数化哈密顿量中的夸克作用关联核，导出平方禁闭势参数化选择的哈密顿量的具体公式和能隙方程；随后，应用公式，编程求解，考察了瞬时作用下和部分延迟作用下真空的正反夸克对凝聚，在计算中保留了空间流-流耦合作用；之后，导出瞬时势和延迟势下包含二体作用项的哈密顿量公式，并采用单体化近似，通过泛函变分方法得到核物质存在时耦合的非线性动力学方程；在保留部分空间双流耦合作用的近似下，求解核物质的动力学方程，考察核物质密度对真空凝聚的影响，以往考察真空凝聚，对关联核的选用，由于空间流-流耦合项不易处理，也认为作用不大，常忽略该项，并且常采用瞬时作用；本文保留空间双流项和部分延迟作用，考察了真空情形的夸克对凝聚，还考察了夸克质量对纯真空凝聚的影响，以往对核物质存在情形的真空凝聚考察很少，也都忽略空间流-流项，本文在考虑部分空间流-流项近似下，考察了核物质存在对真空凝聚的影响。

Taking Changling County, Zhenlai County and Da'an City of Jilin Province as researchareas, based on remote sensing data, graphics operation and spatial analysis are carried out indifferent points of views, including temporal, spatial, scale and landscapeetc; all aspects analysis of this dissertation are abstractively expressed by digital graphics andseries of curves which are not stick to one pattern to discussing multi-dimension andcomplicated attributes of the salinized process. Linking up temporal-spatial characteristicswith landscape indices while combining mathematics model and Geo-informatic TUPUmodel, this dissertation puts forward the fundamental frame: temporal-spatial evolvementpattern, spatial extension process analysis and landscape characteristics analysis of salinizedland. Temporal-spatial evolvement pattern analysis extracts the essential quantity features andtransformation modes of salinized land, and also analyzes patches spatial geometricalparameters scale feature; spatial extending process analysis discusses the change rate andecological modes; landscape feature analysis utilizes landscape graphics indices to describesalinized land microcosmic graphics features and changes.

信息图谱模型为土地盐碱化研究提供了一种谱系化、定量化与定位化相结合的研究方法，本文选取吉林省西部盐碱化典型区域长岭县、镇赉县、大安市作为研究区，以遥感影像为基础数据，在GIS技术支持下，从时空变化、尺度效应、景观特征等多个角度对盐碱化土地进行图形运算、空间分析，通过不拘一格的数字化图形、曲线系列抽象表达出不同维度上的特征与规律，探讨土地盐碱化过程的多维性与复杂性，将盐碱化土地时空特征与景观特征衔接、数学模型与图谱模型结合，以盐碱化土地时空演变基本模式、空间扩展过程和景观特征分析为框架构建盐碱化土地信息图谱模型研究体系，发挥图谱模型数据挖掘、知识发现的特长，将宏观动态变化与微观特征相联系，进一步挖掘土地盐碱化过程与人类活动影响的关系，为探索研究区盐碱化土地成因、过程，预测其未来发展变化趋势及其对环境影响提供相关科学依据。

There are two ways to define a specialization: One is to reopen the namespace and add the definition of the specialization, which we can do because namespace definitions are discontiguous, Alternatively, we could define the specialization in the same way that we can define any namespace member outside its namespace definition: by defining the specialization using the template name qualified by the name of the namespace.

有两种定义特化的方式：一种是重新打开命名空间并加入特化的定义，可以这样做是因为命名空间定义是不连续的；或者，可以用与在命名空间定义外部定义命名空间成员相同的方式来定义特化：使用由命名空间名字限定的模板名定义特化。

The Research of Sequence and Spatialize Module of Monitoring Data.

站点观测数据的连续空间化模型的研究。

Chapter Five is centered on the spatiality of Donne and his poems.

第五章重点论述了多恩及其诗歌的&空间化&。

The database consists of 1 : 1 000 000 digital soil map, soil profile attribution database, and soil reference system.

基于中国1：100万土壤数据库，利用土壤有机碳储量和碳密度的空间化表达和计算方法研究中国土壤有机碳密度及储量。

Scenegraphs are often used in a complimentary fashion to other more "automatic" and hardboiled culling and spatializing strategies such as bsp nodes.

相对像 bsp 结点这样的更&自动化&也更难于拣选（ hardboiled culling ？）与空间化的策略来说，场景图多多少少得到了一些赞誉。

As Heisenberg's uncertainty principle of photon, deconstruction leads us to observe the uncertainty principle of meaning-the trace of difference and systematic game in text.

其运动类似「光子」，呈现差异、差异的踪迹和空间化的系统游戏，是一种对於「意义」的「测不准原理」。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。