复数域总体最小二乘平差   总被引：1，自引：1，他引：0  

王乐洋  于冬冬  吕开云 《测绘学报》2015,44(8):866-876

在复数域最小二乘的基础上提出了复数域总体最小二乘平差方法,推导了复数域总体最小二乘和复数混合总体最小二乘的相关公式。通过算例比较分析了复数观测值的残差的模的平方和最小(平差准则1)下及残差的实部和虚部的平方和分别最小(平差准则2)下的复数最小二乘、复数观测值和系数矩阵的残差的模的平方和最小(平差准则3)下及残差的实部和虚部的平方和分别最小(平差准则4)下的复数总体最小二乘方法的优劣。试验结果表明:平差准则1下复数最小二乘较平差准则2下得到的结果更加合理,平差准则3下复数总体最小二乘较平差准则4下得到的结果更为准确;当顾及系数矩阵误差时,平差准则3下复数总体最小二乘要优于平差准则1下复数最小二乘。  相似文献   

Comparison of infiltration models     

Surendra Kumar Mishra  J. V. Tyagi  Vijay P. Singh 《水文研究》2003,17(13):2629-2652

Fourteen popular, representative infiltration models, some physically based, some semi‐empirical and some empirical, were selected for a comparative evaluation. Using the Nash and Sutcliffe efficiency criterion, the models were evaluated and compared for 243 sets of infiltration data collected from field and laboratory tests conducted in India and the USA on soils ranging from coarse sand to fine clay. Based on a relative grading scale, the semi‐empirical Singh–Yu general model, Holtan model and Horton model were graded respectively as 6·52, 5·57 and 5·48 out of 10. The empirical Huggins and Monke model, modified Kostiakov and Kostiakov model were graded as 5·57, 5·30 and 5·22, respectively. The physically based non‐linear and linear models of Smith–Parlange were graded as 5·48 and 5·22, respectively. Other models were ranked lower than these models. All the models generally performed poorly in field tests on Georgia's sandy soils, except the Robertsdale loamy sand. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

变分原理和非线性Lyapunov稳定性判据     

罗德海 《成都信息工程学院学报》1993,(4)

本文通过构造斜压大气运动的原始方程模式和两层模式的Hamilton守恒量及积分不变的Casimir泛函,并使用变分法,得到了斜压大气运动的非线性Lyapunov稳定性判据,这个判据是Arnold-Blumen-Zeng判据的推广。  相似文献   

Long-term growth of the oil industry in the United States     

Arthur FitzPatrick  Brian Hitchon  J. R. McGregor 《Mathematical Geology》1973,5(3):237-267

A number of growth models have been developed and used in an attempt to project the historical pattern of oil activities to some estimate of their upper limit. Techniques are outlined for the estimation of parameters of the logistic and Gompertz curves. Factor analysis indicated a close relationship between production and demand, whereas annual discoveries and discoveries classified by year of discovery tended to comprise unique factors which were indifferent to changes in time. The growth models projected relatively high values for ultimate demand and production in comparison to the figures for ultimate reserves. Inasmuch as these trends seemed to be occurring independently, some reconciliation of the results was necessary. Using the highest projections of estimates for reserves suggests that over 420 billion barrels of oil in place will eventually be discovered in the United States, with perhaps 200 billion barrels of this eventually to be proved in the form of reserves. Projections for production were higher, corresponding to a trend indicating high levels in demand for crude oil. The only credible long-term estimate of demand was given by a bounded exponential growth model, in which ultimate cumulative demand for crude oil would reach about 416 billion barrels. These figures imply that over 150 billion barrels of oil would be imported into the United States from 1970 to 2070. Provided the time pattern for one of the variables has been determined, then estimates of the other variables probably would be facilitated because of the high interrelationship between variables. Models are suggested in which accurate pivotal forecasting in the short term might be possible—assuming the particular future trend in some of the independent variables has been predetermined.Research Council of Alberta Contribution No. 596.  相似文献   

非保守弹性动力系统两类变量的广义拟变分原理及其应用     

宋海燕  梁立孚  刘殿魁 《地震工程与工程振动》2005,25(4):24-30

按照广义力和广义位移之间的对应关系,将弹性动力学的各基本方程分别乘上相应的虚量,然后在相应的体积域和面积域上积分,将积分式代数相加,再将代数和在时间域上积分,代入本构关系,并考虑到体积力和面积力均为伴生力,进而建立了非保守弹性动力系统的第1类两类变量的广义拟变分原理;再应用类似的方法,通过代入另一类本构关系,建立了非保守弹性动力系统的第2类两类变量广义拟变分原理.应用第1类两类变量广义拟余能原理给出同时求解1个典型的非保守弹性动力系统的固有频率、变形和内力的计算方法.最后,讨论了有关问题.  相似文献   

大中小震与抗震设防标准   总被引：5，自引：1，他引：4       下载免费PDF全文

沈建文  石树中 《地震学报》2004,26(5):533-538

讨论二级抗震设计与超越概率标准、概率法与综合概率法给出的3个水平的地震动的关系. 通过危险性分析的实际例子,讨论了50年超越概率2%、10%和63%的地震动,即大震、中震和小震的相对大小关系,并提出抗震设防标准的确定方法.   相似文献   

火山岩型金矿的地质特征及勘查准则   总被引：5，自引：5，他引：0  

楼亚儿  戴自希 《现代地质》2004,18(1):17-23

通过对全球典型的巨型火山岩型金矿的研究分析,总结了火山岩型金矿的地质特征:这类金矿产出的大的构造背景多为活动的大陆边缘和岛弧,其成矿时代主要集中在中生代—新生代,容矿岩石主要为第三纪钙碱性喷出岩和浅成侵入岩,容矿构造主要为火山中心、破火山口、火山颈、角砾岩筒、火山穹窿、火山背斜、破碎带、张性裂隙带等各种构造,矿化特点为金和银共生在同一矿床,往往呈自然金或银金矿出现,有些矿床中含碲较多,矿化深度浅,上部为金和银,下部往往变成锌和铅。火山岩型金矿床与地热和温泉的活动密切相关,其围岩蚀变为绢云母化、硅化、碳酸岩化、泥化、黄铁矿化和钾化发育,原生晕分带总的趋势为Hg Sb As Ag Au(Mo、Pb、W)。提出了勘查火山岩型金矿床的选靶准则,指出中国东部地区基底具有前寒武纪矿源层的火山岩断陷盆地周边、深大断裂带上的幔源火山岩区或某些洋壳重熔形成的火山岩区找金潜力较大,尤其是中国西部的东、西准噶尔、西天山、东天山、北天山、新疆南天山、松潘—甘孜和"三江"构造 成矿带的东缘是找金最有潜力的地区。  相似文献   

珠江三角洲交通通达性空间格局与人口变化关系   总被引：4，自引：1，他引：3  

李涛  曹小曙  黄晓燕 《地理研究》2012,31(9):1661-1672

基于1988年、1998年、2008年陆路交通网络数据,借助GIS软件,分析了1980年代以来珠三角地区交通网络通达性空间格局的变化,并采用GAM模型,定量分析了1980～2009年期间陆路交通网络与人口变化之间的关系。结果表明:研究时段内,公路交通通达性空间格局以穗-莞-深一线为最高,向外围逐渐递减;铁路交通通达性空间格局以广佛地区为中心向外围逐渐递减;陆路交通网络发展主要受公路网络的影响,铁路在整个交通网络中所起的作用较弱;各阶段通达性提高幅度差异较大,存在递减效应,第一阶段(1988～1998年)通达性提高较第二阶段(1998～2008年)更为显著;公路交通、铁路交通与人口变化关系具有差异性,公路交通对人口变化的作用显著,三个时段内其对人口变化的解释贡献率分别为11.56%、48.07%、44.92%,铁路与人口变化的关系较为薄弱,但在1990年以后,随着铁路网络扩展以及铁路运输服务水平的提高,其与人口变化的关系逐步增强。  相似文献   

Probabilistic Precipitation Forecasting Based on Ensemble Output Using Generalized Additive Models and Bayesian Model Averaging   总被引：2，自引：0，他引：2       下载免费PDF全文

YANG Chi  YAN Zhongwei  SHAO Yuehong 《Acta Meteorologica Sinica》2012,26(1):1-12

A probabilistic precipitation forecasting model using generalized additive models (GAMs) and Bayesian model averaging (BMA) was proposed in this paper.GAMs were used to fit the spatial-temporal precipi...  相似文献   

确定大地水准面的Tikhonov最小二乘配置法     

欧阳永忠  邓凯亮  黄谟涛  暴景阳  陆秀平  吴太旗  刘传勇 《测绘学报》2012,41(6):804-810

LSC法（最小二乘配置法）因能融合不同种类重力观测数据确定大地水准面的特性而受到广泛关注,但由于协方差矩阵存在病态性,微小的观测误差将被协方差矩阵的小奇异值放大,导致计算的配置结果不稳定且精度偏低。本文提出Tikhonov_LSC法,即在LSC法中引入Tikhonov正则化算法,基于GCV法选择协方差矩阵的正则化参数,利用正则化参数修正协方差矩阵的小奇异值,以抑制其对观测误差的放大影响。基于Tikhonov_LSC法计算大地水准面,能有效提高其稳定性和精度。通过以EGM2008重力场模型分别计算山区、丘陵和海域重力异常作为基础数据确定相应区域大地水准面的实验,验证了该方法的有效性。  相似文献