勒贝格积分极限定理记注

在实变函数中的定理比较难理解,凭直观又无法想象出来,论文中讨论的是勒贝格有界收敛定理,勒贝格基本定理;勒贝格积分极限定理;勒维(Levi)定理;法都引理中条件的不可缺少,积分极限定理的应用。     

模糊赋范空间上线性算子的基本定理

研究模糊赋范空间上线性算子的基本性质 .引入算子的开性、闭性、ρ 开性、ρ 闭性等概念并讨论了它们间的关系 ;在此基础上建立了开映射定理、闭图象定理、半开映射定理、半闭图象定理、逆算子定理等 ;还给出了其中一些定理的应用 .     

不动点定理研究Ⅱ

本文推广了CHI,SONG·WONG在文献[1]中的不动点定理;B·FISHER在文献[2]中的不动点定理:T·L·HISCKS和B·E·RHOADES在文献[3]中的不动点定理;LJ·B·C IRIC 在文献[5]中的不动点定理:给出一个反例,说明文献[6]中的定理是不对的     

从拓扑的观点看有限覆盖定理

从拓扑学观点出发,在理论上推导出了有限覆盖定理,在此基础上,给出加强型的有限覆盖定理.文章分成三个部分:第一部分介绍拓扑学相关方面的知识;第二部分介绍Rn上的定理与结论;最后一部分介绍通常的有限覆盖定理及加强型的有限覆盖定理.     

微分中值定理在理论推导中的应用

微分中值定理是微分学的基本定理。泰勒定理、罗必塔法则、函数的单调性与极值以及函数的凹凸性等涉及到的大量的定理和结论,都是微分中值定理的理论推导应用。深入研究微分中值定理,有助于加深对这些定理的理解;清楚这些定理的证明,能促使学习者掌握微分中值定理的具体应用。     

微分中值定理关系浅析

从几何直观出发,立足于整体角度,研究微分中值定理之间的关系,讨论R o lle定理、L agrange定理、C auchy定理统一于微分学中值定理的各种形式;并以R o lle定理为基础,借助不同形式的辅助函数对其它微分中值定理作出多种形式的统一证明。     

速度相加定理与光速不变原理相容性探析

在低速近似(vC)情况下,相对论速度相加定理便退化为经典的速度相加定理.研究问题的速度所处的范围为:低速,选经典速度相加定理;高速,选相对论速度相加定理;相对论速度相加定理与光速不变原理是相容的,真空中光速大小与惯性系的选择无关.     

Burnside引理和Pó1ya定理的应用实例

Burnside引理和Pólya定理是组合数学中极其重要的两个定理，本文提出如何用Burnside引理和Pólya定理得出一题多解．     

Stolz定理的推广及其应用

利用简单的数学工具,证明了斯铎兹(Stolz)定理的推广定理,给出了进一步研究极限问题的新途径;对计算数列的极限、函数的极限有着重要的作用;作为一种应用,再利用斯铎兹(Stolz)定理的推广定理给出了罗比达法则的新证明,避免了传统证明中的繁杂过程。容易看出:斯铎兹(Stolz)定理的推广定理是联系斯铎兹(Stolz)定理和罗比达法则的桥梁。     

2×2上三角算子矩阵的A Weyl定理的稳定性

考虑Weyl型定理中的A-Browder定理和A-Weyl定理, 利用拓扑一致降标法得到了: 对任意的C∈B(H), 算子M_C满足A-Browder定理和A-Weyl定理微小紧摄动新的等价条件和判定方法.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3～4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰～ -7.8‰, PDB) and matrix dolomites (-6.6‰～ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084～0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078～0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.     

An Index mechanism for multi-scale view in spatial databases

There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.     

A computer generator for randomly layered structures

AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…     

海南岛地体及其毗邻陆缘晚中生代—新生代古地磁研究和构造演化

本文叙述了对海南岛及其毗邻大陆边缘白垩纪到第四纪地层岩石进行古地磁研究的全部工作过程。通过分析岩石中剩余磁矢量的磁偏角及磁倾角的变化,提出海南岛白垩纪以来经历的构造演化模式如下:早期伴随顺时针旋转而向南迁移,后期伴随逆时针转动并向北运移。联系该地区及邻区的地质、地球物理资料,对海南岛上述的构造地体运动提出以下认识:北部湾内早期有一拉张作用,主要是该作用使湾内地壳显著伸长减薄,形成北部湾盆地。从而导致了海南岛的早期构造运动,而海南岛后期的构造运动则主要是受南海海底扩张的影响。海南地体运动规律的阐明对于了解北部湾油气盆地的形成演化有重要的理论和实际意义。     

Exciton Seebeck in Molecular Systems

Various applications relevant to the exciton dynamics,such as the organic solar cell,the large-area organic light-emitting diodes and the thermoelectricity,are operating under temperature gradient.The potential abnormal behavior of the exicton dynamics driven by the temperature difference may affect the efficiency and performance of the corresponding devices.In the above situations,the exciton dynamics under temperature difference is mixed with     

Achieving Unusual States of Matter Under High Pressure

The elongation method,originally proposed by Imamura was further developed for many years in our group.As a method towards O(N)with high efficiency and high accuracy for any dimensional systems.This treatment designed for one-dimensional(ID)polymers is now available for three-dimensional(3D)systems,but geometry optimization is now possible only for 1D-systems.As an approach toward post-Hartree-Fock,it was also extended to     

《Chinese Science Bulletin》SUBJECT INDEX TO VOLUME 59(2014)

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An on-line scaling method for improving scalability of a database cluster

The explosive growth of the Internet and database applications has driven database to be more scalable and available, and able to support on-line scaling without interrupting service. To support more client's queries without downtime and degrading the response time, more nodes have to be scaled up while the database is running. This paper presents the overview of scalable and available database that satisfies the above characteristics. And we propose a novel on-line scaling method. Our method improves the existing on-line scaling method for fast response time and higher throughputs. Our proposed method reduces unnecessary network use, i.e. , we decrease the number of data copy by reusing the backup data. Also, our on-line scaling operation can be processed parallel by selecting adequate nodes as new node. Our performance study shows that our method results in significant reduction in data copy time.     

An improved R-tree based on childnode''s probability

R-Tree is a good structure for spatial searching. But in this indexing structure,either the sequence of nodes in the same level or sequence of traveling these nodes when queries are made is random. Since the possibility that the object appears in different MBR which have the same parents node is different, if we make the subnode who has the most possibility be traveled first, the time cost will be decreased in most of the cases. In some case, the possibility of a point belong to a rectangle will shows direct proportion with the size of the rectangle. But this conclusion is based on an assumption that the objects are symmetrically distributing in the area and this assumption is not always coming into existence. Now we found a more direct parameter to scale the possibility and made a little change on the structure of R-tree, to increase the possibility of founding the satisfying answer in the front sub trees. We names this structure probability based arranged R-tree (PBAR-tree).     

Integrating GIS Web services based on mediating architecture

The geographic information service is enabled by the advancements in general Web service technology and the focused efforts of the OGC in defining XML-based Web GIS service. Based on these models, this paper addresses the issue of services chaining,the process of combining or pipelining results from several interoperable GIS Web Services to create a customized solution. This paper presents a mediated chaining architecture in which a specific service takes responsibility for performing the process that describes a service chain. We designed the Spatial Information Process Language (SIPL) for dynamic modeling and describing the service chain, also a prototype of the Spatial Information Process Execution Engine (SIPEE) is implemented for executing processes written in SIPL. Discussion of measures to improve the functionality and performance of such system will be included.