一类函数方程的摄动解

利用摄动理论的直接展开法,研究方程εf(x)=g(x,ε)的摄动解,其中ε是正的小参数,根据退化方程的单根或重根可给出方程的根.     

R~N上具有临界指标的重调和方程非平凡解的存在性

运用扰动方法研究RN(N>4)上具有临界指标的重调和方程{Δ2u=uN+4/N-4+εg(χ,u),limu|x|→∞(x)=0,u∈D2,2(RN),χ∈RN非平凡解的存在性,其中ε为任意小常数,lim|x|→∞g(χ,u)=0.     

两个全变换半群之间的同态Ⅰ

设Tn是Xn={1,2,…,n}上的全变换半群.Tm是Xm={1,2,…,m}上的全变换半群,本文刻画出当nm时,Tn到Tm的所有同态,且还得到Tm为Tn的同态像的条件.     

关于无限级半纯函数的Borel向

1938年李国平教授对于半纯函数的填充圆及Borel向的某些定理作了一种精密性的补充与改进;他首先改进了半纯函数的第二基础定理,然后用此定理为一种工具进而改进了方程f(z)=a在某环带内的根数的Milloux定理,从而得出结论:完全略去方程程f(z)=a之一切重根的重级或完全略去重级超过三的一切重根,关于半纯函数f(z)的填充圆及Borel向的一切定理仍是真确的。这一结果对于在此以前应用填充圆来处理半纯函数Borel向的存在的有关定理作了一精密而完备的补充。     

对方程f(x)=0根的题型分析

对方程f(x)=0根的存在性证明、唯一性证明及方程根的个数讨论等三个方面提出浅见.     

算子n次幂的零维与半正则性

对线性算子T的n次幂Tn,讨论其零空间N(Tn)的维数α(Tn):=dim N(Tn)与n.α(T)的关系,证明了当T是上半-Fredholm算子时,α(Tn)=n.α(T)对一切自然数n成立当且仅当T是半正则的.     

函数方程的一种有效的近似解法—牛顿法

牛顿法,也称切线法,它的基本思想是将非线性方程f(x)=0逐步转化为线性方程来求解.牛顿法应用范围较广,可解代数方程和超越方程,也可解非线性方程组,既可求方程实根,也可求复根;既可求单根,也能求重根.牛顿法程序简单,其在单根附近具有二阶敛速,因此是近似根精确化的一种相当有效的方法.     

Fredholm积分方程的固有函数廹近定理

§1.预备知识齐次方程: a,b是有限数,核k(s,t)∈L_2[a,b]。記D(λ)为核k(s,t)的Fredholm分母。λ_0为D(λ)=0的m重根。因为     

一元初等方程的等价问题

在将方程变形时,所得方程与原方程有时等价有时不等价。究竟哪些变形使方程等价,哪些变形使方程不等价呢?这个问题在现有的参考书上已有所论述,但还不够系统和完善。这里我们将在实数范围内进一步讨论这个问题。先介绍几个概念。若方程f(x)=g(x)中f(x)、g(x) 都是一元初等函数,则称该方程为一元初等方程。若方程f(x)=g(x) (1) 的任一解都是方程F(x)=G(x) (2) 的解,反之,方程 (2) 的解也都是方程 (1) 的解,也就是说两方程的解集相同,则称它们为等价方程。若两方程不仅解集相同且每个重根的重数也都相同时,则称它们为严格等价方程。本文只讨论等价方程而不讨论严格等价方程。为叙述方便再作如下约定:下面所说方程是指一元初等方程;所说的函数是指一元初等     

拓扑一致降标与单值延拓性质

设H为Hilbert空间.算子T∈B(H)称作有单值延拓性质,若对任意一个开集U(∈)C,满足方程(T-λI)f(λ)=0((A)λ∈U)的惟一的解析函数为零函数.若存在整数d∈N使得当n≥d时,N(Tn)+R(T)=N(Td)+R(T)并且R(Tn)在R(Td)的算子值域拓扑中闭,称T当n≥d时有拓扑一致降标.本文给出了拓扑一致降标与单值延拓性质之间的关系,并利用算子的拓扑一致降标性质研究了单值延拓性质的稳定性.     

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.     

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)

正~~     

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.     

Tracking data management using topology of moving object database system for moving object constrained trajectory in LBS application

Advances in wireless technologies and positioning technologies and spread of wireless devices, an interest in LBS (Location Based Service) is arising. To provide location based service, tracking data should have been stored in moving object database management system (called MODBMS) with proper policies and managed efficiently. So the methods which acquire the location information at regular time intervals then, store and manage have been studied. In this paper, we suggest tracking data management techniques using topology that is corresponding to the moving path of moving object. In our techniques, we update the MODBMS when moving object arrived at a street intersection or a curved road which is represented as the node in topology and predict the location at past and future with attribute of topology and linear function. In this technique, location data that are corresponding to the node in topology are stored, thus reduce the number of update and amount of data. Also in case predicting the location,because topology are used as well as existing location information, accuracy for prediction is increased than applying linear function or spline function.