一类不等式的概率证法

本文主要提出一种通过构造γ.υ.(表示随机变量)证明一类不等式的概率方法,用来证明一些已知的不等式,并得到一些新的级数不等式和积分不等式;同时,对γ.υ.函数的数学期望公式介绍一种简捷的证法,并给出用数学期望来表示的Jensen不等式。     

基于领域知识的文本分类

提出了一种基于知识的文本分类方法,其中引入领域知识,利用领域特征作为文本特征,增强文本表示能力,将文本分类过程看作集聚计算过程.文本索引过程采用了改进型特征选取和权重计算方法.提出了一种基于互信息的学习算法,从训练语料中自动学习领域特征集聚计算公式.实验结果显示基于领域知识的文本分类技术总体性能优于传统的贝叶斯分类模型,领域知识的应用能够有效改善对相似主题和相反主题的分类性能.     

σ代数下给定函数的条件数学期望

本文以测度论为基础,从初等条件期望的定义出发,结合测度论的相关知识,给出了σ代数下给定函数的条件数学期望的定义.     

条件概率与条件数学期望及其在期权定价中的应用

鉴于条件概率与条件数学期望在概率统计教学中的重要性,本文从测度论的角度浅显易懂地介绍了条件概率与条件数学期望的定义与性质,并且利用条件概率与条件数学期望研究了欧式看涨期权的动态定价模型,求出了模型的显式表达式.     

基于知识的遥感图像分类系统

本文应用问题求解的黑板模型并利用产生式系统作为基本软件结构,设计并实现了一个基于知识的遥感图像分类系统;对知识获取与表示进行了研究;通过实验论证了系统的可行性.     

最大数学期望的几个重要性质

最大数学期望与g-期望一样都是非线性的,这两种非线性的数学期望之间存在某些联系. 通过g-期望的性质或最大数学期望的定义得到了最大数学期望的某些重要性质.     

晚清物理学译著中数学符号的演变

晚清西方传教士将数学符号系统地引入中国,与中国传统物理知识表示方法相互交融,从而使中国传统物理学知识逐渐走向近代化.比较了晚清不同物理译著中的数学符号,解读数学符号在物理计算中的应用,分析数学符号的演变对我国物理学知识发展的影响.     

基于GEP的支持向量机参数优化

支持向量机(SVM)具有优良的学习能力和推广能力,然而其性能依赖于参数的选取.本文对影响模型分类能力的相关参数(C、σ2)进行了研究,提出了一种基于基因表达式编程(Gene Expression Programming,GEP)的支持向量机参数选择算法,即根据参数在分类器中的作用,利用GEP优化参数的两种编码方案分别对C与σ2进行编码,期望改进支持向量机的分类精度和泛化能力.最后实验表明了本文算法的有效性.     

中学数学中分类讨论思想的个案研究

数学思想方法作为数学教育的重要内容,已引起人们的关注.无论过去的教学大纲,还是现在的新课标,都把分类和整合作为重要的数学思想方法.本文归纳总结了中学数学中常见的分类讨论因素和解题的基本步骤.在中学的教学实践中,我们选取了1名对分类讨论出问题的学生作为个案研究,通过对该学生的知识诊断和矫正,使其掌握了对应的分类论问题.     

概率统计在实际问题中的应用举例

本文介绍了概率统计的某些知识在实际问题中的应用,主要围绕古典概型,全概率公式,正态分布,数学期望,极限定理等有关知识,探讨概率统计知识在实际生活中的广泛应用,进一步揭示概率统计与实际生活的密切联系,为应用概率知识解决实际问题,数学模型的建立,学科知识的迁移奠定一定的理论基础.     

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.     

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…     

Perspherical Approaches for Electrons in Atoms and Charged Excitons in Quantum Wells

Instead of following Fock’s expansion,we solve the Schrodinger equation for some quantum mechanical manybody systems such as electrons in atoms and charged excitons in quantum wells in a similar way in hyperspherical coordinates by expanding the wave functions into orthonormal complete basis sets of the hyperspherical hannonics(HHs)of hyperangles and generalized Laguerre polynomials(GLPs)of the hyperradius.This leads the equation to     

Advances in broadband wireless communications under high-mobility scenarios

Future mobile communication systems aim at providing very high data transmission rates, even in high-mobility scenarios such as high-speed wheel-track trains, maglev trains, highway vehicles, airplanes, guided missiles or spacecraft. A particularly important commercial application is the strong and increasing worldwide demand for high- speed broadband wireless communications （up to 574.8 km/ h test speeds or 380 km/h commercial speeds） in railways, providing data, voice and video services for applications such as onboard entertainment services to passengers, train control, train dispatch, train sensor status handling and sur- veillance. In such high-mobility scenarios, there are a number of communication challenges, including fast hand- over, location updating, high-speed channel modeling, estimation and equalization, anti-Doppler spreading tech- niques, fast power control, and dedicated network architec- ture. Because signal transmission in very high-speed scenarios will inevitably experience serious deterioration, it is imperative to develop key broadband mobile communi- cation techniques for such high-speed vehicles.     

Wuhan University Journal of Natural Sciences TOTAL CONTENTS

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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。     

Scale-based spatial data model for GIS

Being the primary media of geographical information and the elementary objects manipulated, almost all of maps adopt the layer-based model to represent geographic information in the existent GIS. However, it is difficult to extend the map represented in layer-based model. Furthermore, in Web-Based GIS, It is slow to transmit the spatial data for map viewing. In this paper, for solving the questions above, we have proposed a new method for representing the spatial data. That is scale-based model. In this model we represent maps in three levels: scale-view, block, and spatial object, and organize the maps in a set of map layers, named Scale-View, which associates some given scales.Lastly, a prototype Web-Based GIS using the proposed spatial data representation is described briefly.     

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