TENSORIAL RESOLUTION:A DIRECT TRILINEAR DECOMPOSITION

Modern instrumentation in chemistry routinely generates two-dimensional(second-order)arrays of data.Considering that most analyses need to compare several samples,the analyst ends up with a three-dimensional(third-order)array which is difficult to visualize or interpret with the conventional statisticaltools.Some of these data arrays follow the so-called trilinear model,(?)These trilinear arrays of data are known to have unique factor analysis decompositions which correspondto the true physical factors that form the data,i.e.given the array (?),a unique solution can be found inmany cases for each order X,Y and Z.This is in contrast to the well-known second-order bilinear datafactor analysis,where the abstract solutions obtained are not unique and at best cannot be easilycompared with the underlying physical factors owing to a rotational ambiguity.Trilinear decompositions have had the disadvantage,however,that a non-linear optimization withmany parameters is necessary to reach a least-squares solution.This paper will introduce a method forreducing the problem to a rectangular generalized eigenvalue-eigenvector equation where the eigenbectorsare the contravariant form(pseudo-inverse)of the actual factors.It is shown that the method works wellwhen the factors are linearly independent in at least two orders(e.g.X_(jr),and Y_(jr) are full rank matrices).Finally,it is shown how trilinear decompositions relate to multicomponent calibration,curve resolutionand chemical analysis.     

秦、祁、昆三大造山带的结合特征

秦、祁、昆三大造山带结合地区的物质组成及结构特征显示,其间存在不同时期发育起来的陆缘、陆内转换断层,受其制约,造山带内曾发生大规模侧向运动和由此引起的岩心活动及复杂的构造变形。据此,结合演化可分三阶段,并且秦、祁、昆三大造山带间并不存在东西向贯通的单一结合带,而是在转换断层作用下,分阶段逐步完成了转换结合的结合方式。     

GPS测量揭示的福建沿海地区的现今地形变

根据福建GPS监测网3期(1997，1999，2001)观测资料的计算结果，分析了福建沿海地区的现今地形变特征。(1)福建地区有两个剪应变相对集中区，北部是湾口、闽清一带；南部是泉州、厦门一带。这两个区的剪应变随时间变化有加强的趋势。(2)南部剪应变集中区基本处于压应变环境，并且主要断裂两侧存在相对较高的剪应变集中区，值得关注。     

定降深抽水引起的泰斯承压含水层水平运动

根据Darcy-Gersevanov广义渗流关系式，导出了单井定降深抽水引起的泰斯含水层水平位移和水平应变解析表达式。数值计算分析表明，定降深抽水引起的含水层水平运运方向沿径向向内，水平运动速度随抽水时间增长呈指数衰减，位移量则随抽水时间增加呈指数增长。定降深抽水引起的含水层径向应变在空间上具有近井挤压，远井拉张的分区特征，且近井挤压区随抽水时间增加不断向外扩展；切向应变主要表现为环向挤压，且其应变大小随半径增大迅速衰减，随时间增长呈指数增大。     

Oil and Gas Distribution in Hailar Basin,Northeast China

1IntroductionHailar Basin is located in the eastern part of In-ner Mongolia Autonomous Region, China, with the area of 44 210 km2 (Fig.1).Fig.1SketchmapshowingthelocationofHailarBasinThe Hailar Basin is neither different from the foreland basin of west pa…     

Analysis of runoff characteristics in midstream of Yinma River

To use the water resources reasonably in the midstream of Yinma River is of great significance to Changchun City which is short of water. With the runoff data of physical measuring, the paper analyses the characteristics surface rtmoff of the area, by means of the groundwater flow numerical simulation, and represents the characteristics of the groundwater runoff in the area. Based on combination analyses of the two runoffs, the authors point out the problem of the water resources use in this area and bring forward a resolution of conjunctive regulation and storage of the surface water and groundwater.     

MIXTURE ANALYSIS USING FACTOR ANALYSIS.Ⅱ:SELF-MODELING CURVE RESOLUTION

One of the major applications of factor analysis in the chemical literature,self-modeling curve resolution(SMCR),is covered in this review,including a historical account of the inethods derived from Lawtonand Sylvestre's original method.Papers treating the theory or applications of SMCR are included.Qualitative and quantitative applications are described where appropriate.     

准周期振荡(QPO)天体GX5-1的双分支谱的唯象分析

本文对小质量X射线双星的准周期振荡的差频模型做了修正和补充。修正的要点是:要考虑柱吸积过程中的粘滞阻尼。由此即可成功地解释QPO天体GX5-1的双分支谱特性。     

Annual report of IGCP Project No.440 in 2003 Rodinia assembly and breakup

With the latest information on geology, isotop chronology, geochemistry and aerial geophysics, the structural enviroment, geological event characterists and evolution history of component units of Rodinia Supercontinent on a global scale are discussed. And some neo views and genetic pattern are provided. The East Eurppean Craton had a complex evolution history between 1.7 and 0.9 Ga. The arthors propose a new reconstruction of Laurentia acient land and Siberia at ca. 1 050-1 000 Ma. The largest litho-structural record of the Meso-Neoproterozoic orogenic collage in South America made up the western border of the South American Platform African Cratons are the result of convergence of Paleoproterozoic/Archaem Cratonic blocks. A part of Eastern Antarctica attached to southern Africa in Mesoproterozoic.Neoproterozoic felsic magmatic events in New India made the western border of Rodinia Pre-Grevoillian Laurentia was established as a major continental block by the end of the Paleoproterozoic. South China is geologically plausible to be between southern Laurentia and eastern Australia. Yangzi-Tarim connection or neighborhood is proposed. According to the abovementionded, the assembly and breakup paattem of Rodinia proposed by Pisarevsky is tested. It telles that primary break up is along the western border of Laurentia ancient land, which is similar to northern Atlantic. Another characteristic is that some continents are not considered as component parts of Rodinia, eg. India, Congo and San-Francisco.