Markoff链在市场预测中的应用     

周俐麟 《华东地质学院学报》1996,19(1):96-100

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Weak-contrast approximation of the elastic scattering matrix in anisotropic media     

Bjørn Ursin  Geir U. Haugen 《Pure and Applied Geophysics》1996,148(3-4):685-714

The plane-wave reflection and transmission coefficients at a plane interface between two anisotropic media constitute the elements of the elastic scattering matrix. For a 1-D anisotropic medium the eigenvector decomposition of the system matrix of the transformed elasto-dynamic equations is used to derive a general expression for the scattering matrix. Depending on the normalization of the eigenvectors, the expressions give scattering coefficients for amplitudes or for vertical energy flux.Computing the vertical slownesses and the corresponding polarizations, the eigenvector matrix and its inverse can be found. We give a simple formula for the inverse, regardless of the normalization of the eigenvectors. When the eigenvectors are normalized with respect to amplitudes of displacement (or velocity), the calculation of the scattering matrix for amplitudes is simplified.When the relative changes in all parameters are small, a weak-contrast approximation of the scattering matrix, based on the exactly determined polarization vectors in an average medium, is obtained. The same approximation is also derived directly from the transformed elasto-dynamic equations for a smooth vertically inhomogeneous medium, proving the consistency of the approximation.For monoclinic media, with the mirror symmetry plane parallel to the interface, the approximative scattering matrix is given in terms of analytic expressions for the non-normalized eigenvectors and vertical slownesses. For transversely isotropic media with a vertical axis of symmetry (VTI) and isotropic media, explicit solutions for the weak-contrast approximations of the scattering matrices have been obtained. The scattering matrix for amplitudes for isotropic media is well known. The scattering matrix for vertical energy flux may have applications in AVO analysis and inversion due to the reciprocity of the reflection coefficients for converted waves.Numerical examples for monoclinic and VTI media provide good agreement between the approximative and the exact reflection matrices. It is, however, expected that the approximations cannot be used when the symmetry properties of the two media are very different. This is because the approximation relies on a small relative contrast between the eigenvectors in the two media.Presented at the Workshop Meeting on Seismic Waves in Laterally Inhomogeneous Media, Castle of Trest, Czech Republic, May 22–27, 1995.  相似文献   

Estimation of covariance matrix from geochemical data with observations below detection limits     

Chang-Jo F. Chung 《Mathematical Geology》1993,25(7):851-865

Multivariate statistical analyses have been extensively applied to geochemical measurements to analyze and aid interpretation of the data. Estimation of the covariance matrix of multivariate observations is the first task in multivariate analysis. However, geochemical data for the rare elements, especially Ag, Au, and platinum-group elements, usually contain observations the below detection limits. In particular, Instrumental Neutron Activation Analysis (INAA) for the rare elements produces multilevel and possibly extremely high detection limits depending on the sample weight. Traditionally, in applying multivariate analysis to such incomplete data, the observations below detection limits are first substituted, for example, each observation below the detection limit is replaced by a certain percentage of that limit, and then the standard statistical computer packages or techniques are used to obtain the analysis of the data. If a number of samples with observations below detection limits is small, or the detection limits are relatively near zero, the results may be reasonable and most geological interpretations or conclusions are probably valid. In this paper, a new method is proposed to estimate the covariance matrix from a dataset containing observations below multilevel detection limits by using the marginal maximum likelihood estimation (MMLE) method. For each pair of variables, sayY andZ whose observations containing below detection limits, the proposed method consists of three steps: (i) for each variable separately obtaining the marginal MLE for the means and the variances, , , , and forY andZ: (ii) defining new variables by and and lettingA=C+D andB=C–D, and obtaining MLE for variances, and forA andB; (iii) estimating the correlation coefficient _YZ by and the covariance _YZ by . The procedure is illustrated by using a precious metal geochemical data set from the Fox River Sill, Manitoba, Canada.  相似文献   

使用价值分析优化方法在功能—技术矩阵求解中的应用     

罗庆生  韩宝玲 《武汉大学学报(信息科学版)》1990,(2)

功能—技术矩阵,经众多工作者的努力研究,已渐趋成熟与实用。但如何利用功能—技术矩阵构造在广义现代设计领域中适用的科学模式,解决多学科设计方案的组成与评价问题,还存在薄弱环节。本文利用“使用价值分析优化”的概念,从设计方案技术先进性和经济合理性的协调统一的角度出发,较好地实现了功能—技术矩阵可行优化组合链的组成与评价,弥补了以往的缺陷。  相似文献   

Erratum “Boundary” in ancient Persian tradition of statehood: an introduction to the origins of the concept of boundary in pre-modern history     

Pirouz Mojtahed-Zadeh 《GeoJournal》2006,66(4):273-283

Erratum to: GeoJournal 62: 51–58 DOI 10.1007/s10708-005-8562-2 The erroneous version of this article was originally published in GeoJournal 62: 51–58. This amended version corrects the formatting errors which are evident in the original version.Abstract It is universally accepted that the need for defining precise lines of separation and points of contacts between states is the byproduct of the emergence of nation-states and ‘world economy’ in the nineteenth century Europe. Nevertheless, it is hard to overlook the fact that these modern notions are rooted in periods prior to the emergence in Europe of nation-states. There are indications that ancient civilizations were familiar with the notion of ‘state’ in connection with the concepts of territory and boundary. Ancient texts reveal that this basic principle existed in ancient Persian literature in respect of matters of state, territory, and boundary. Similarly, the likelihood exists that these Persian notions could have influenced Roman civilization. It is widely believed that a combination of ancient Greco-Roman and Persian civilizations is a major contributor to what culturally constitutes ‘West’. Later in the Sassanid period the inter-linked notions of state, territory, and boundary developed substantially, coming quite close to their contemporary forms. On the other hand, considering that ‘justice’ was the corner stone of ancient Persian Political philosophy, the idea that ancient␣Iranian spatial arrangement might have contributed to the evolution of the concept of democracy in the West may not be too difficult to contemplate.The online version of the original article can be found at  相似文献   

The political geography of religion: historical state-church relations in Europe and recent challenges     

Hans Knippenberg 《GeoJournal》2006,67(4):253-265

Historical processes of state formation and nation building are crucial for an understanding of the geography of religions and churches in Europe. Each country has developed its own model of state-church relations, giving rise to a ‘bewildering variety’ as Grace Davie aptly remarks. The aim of this paper is to bring some order to this variety by developing a framework for the comparative study of church-state relations based on Stein Rokkan’s famous conceptual map and recent extensions of it to Central and Eastern Europe by John Madeley. According to that framework Europe has been divided into three mono-confessional (Roman Catholic, Lutheran, and Eastern Orthodox) blocs and two multi-confessional culture belts from Northwest to Southeast, and from Northeast to Southeast. This historical pattern has been challenged by secularisation, which started with the Enlightenment and the French Revolution (Western Europe) and the Russian Revolution (Eastern Europe until the velvet revolutions of 1989/1991) and then became widespread after the ‘cultural revolutions’ of the 1960s. A second challenge has to do with globalisation and its consequences, such as massive immigration and the rise of immigrant religions, and in general deterritorialisation, which means the disembeddedness of religion from its national territory. A third challenge concerns reterritorialisation at other (supranational, regional, transnational, and local) scales, of which the new territorial order of the European Union seems to be the most important. Finally, this paper serves as an introduction to the case studies on church-state relations in this special issue.  相似文献   

面向离散点的空间权重矩阵生成算法与实证研究   总被引：2，自引：0，他引：2  

刘仲刚  李满春  刘剑锋  孙燕 《地理与地理信息科学》2006,22(3):53-56

采用阈值法和k-近邻法度量空间上离散点间的空间邻接关系,针对不同的距离计算方式(欧式距离和曼哈顿距离)设计了面向离散点的空间权重矩阵生成算法,使用C#语言在计算机上实现。用该算法对收集的8 367个常州市地价样点构建了不同土地用途地价样点的空间权重矩阵,并计算出分用途的常州市城市地价空间自相关指数。  相似文献   

模糊理论在公路边坡稳定性分析中的应用   总被引：7，自引：0，他引：7  

许江  李克钢 《中国地质灾害与防治学报》2006,17(2):61-64

边坡工程是一个复杂的系统工程。边坡的稳定与否直接关系到其防护工作的程度。因此,如何有效、合理地判断边坡的稳定性对整个工程的经济与社会效益极为重要。影响边坡稳定的因素众多,判断其稳定与否应考虑各因素的综合效果。论文运用模糊理论中的多因素综合评判模型对某高速公路边坡的稳定性进行研究。通过全面考虑影响因素,建立相应的评判因素集及单因素评判矩阵,运用专家评判法和判断矩阵法确定出各因素的权重。最后通过多层次模糊评判得到该边坡的稳定性评判结果。研究证明,该法在边坡稳定性分析评判中是切实可行的。  相似文献   

The changing relationship between state and church/religion in the Netherlands     

Hans Knippenberg 《GeoJournal》2006,67(4):317-330

The Netherlands is part of the historic Northwest-Southeast multi-confessional culture belt according to the comparative framework of church-state relations in Europe as recently developed by Madeley on the basis of Rokkan’s conceptual map. The aim of this paper is to describe the development of the church-state relations in the Netherlands within this historic framework of state-formation and nation-building, and to interpret recent challenges of its historic state-church model, such as secularisation, the rise of immigrant religions, and general ‘de- and re-territorialisation’ tendencies. The Netherlands developed from a relatively very tolerant polity dominated by the Calvinist Church to a ‘pillarised’ society, in which the Rome-Reformation divide (which also had a strong geographical dimension) was institutionalised in the political system. After the 1960s, very strong secularisation put this ‘pillarised’ system under severe pressure, but the remnants of this system offered a favourable opportunity structure for religious newcomers (Muslims in particular), who could establish their mosques and Muslim schools relatively easily. However, while the main Protestant churches, and even Catholic and Protestant political parties have merged, failing integration of these newcomers in Dutch society and terrorist attacks at the global level as well as in the Netherlands encouraged a new divide between Muslims and non-Muslims. The metropolitan areas in particular became the scene of this new divide.  相似文献   

粗差发现和定位能力与相关系数的关系   总被引：2，自引：0，他引：2  

顾利亚  岑敏仪  李志林 《武汉大学学报(信息科学版)》2005,30(7):621-624

根据粗差判断方程中的判断矩阵和两个统计检验量之间相关系数的函数式,论证了两种不同的研究方法所确定的粗差不能定位的数学模型实际上是相等的。通过算例,不仅说明两种研究方法对观测量不能定位粗差的判断是一致的,而且使用判断矩阵研究观测量的粗差发现和定位能力会更加方便简单。  相似文献