涉及微分多项式及例外函数的正规定则     

康海刚  邹温林 《成都信息工程学院学报》2007,22(6):739-746

设φ(z)≠0为区域D(c)C上的亚纯函数,a0(z),a1(z),…ak-1(z)为区域D上的全纯函数,k∈N.F为区域D上一族亚纯函数.对于任意的f(z)∈F,所有零点之级≥k 1,极点之级≥2.并且L(f)(z)=,k((z) ak-1(z)f(k-1)(z) …a1(z)f'(z) a0(z)f(z)≠φ(z),z∈D则F在D上正规.  相似文献   

Influence of parameters selection in Chebyshev filters on the strong motion data processing     

Guergana Mollova  Frank Scherbaum 《Bulletin of Earthquake Engineering》2007,5(4):609-627

This contribution discusses the application of Chebyshev Type I filter for processing real earthquake records. Consideration is given to the effects of filtering parameters (passband amplitude ripple and order of the filter) on the time series, strong-motion parameters, Fourier Amplitude Spectrum of acceleration, and elastic displacement response spectra. Time histories of five earthquakes with different moment magnitudes have been examined (from stations located close to the epicenters). Data processing is based on application of bandpass Chebyshev filtering over frequency range with substantial signal to noise ratio (level of 3 or approximately 3 dB). Applying different filters, we have monitored several important strong-motion parameters: peak values of acceleration, velocity, and displacement; Arias intensity, acceleration/velocity spectrum intensity, significant duration, etc. Some new results and conclusions concerning the influence of Chebyshev filter in data processing of records have been summarized. The graphical and numerical outcomes obtained, as well as the comparison with a Butterworth causal filter, are included in the work. The results could be potentially useful to engineering seismologists who need to evaluate and better understand the merits of this type of filtering for strong-motion data processing.  相似文献   

一种基于三函数多项式的GPS轨道标准化方法     

唐华林邓翠美  匡翠林 《测绘与空间地理信息》2007,30(4):85-88

本文提出了一种基于三角函数多项式的GPS轨道标准化方法。该方法考虑了卫星运动的坐标的周期性特点，所以能获得很好的内插和外推精度。文中的算例分析得出了一些有益的结论。  相似文献   

青藏高原地磁场模型的研究   总被引：9，自引：6，他引：3       下载免费PDF全文

安振昌 《地球物理学报》2000,43(3):339-345

根据青藏高原地磁三分量绝对测量资料,使用泰勒多项式方法和冠谐分析方法,计 算了青藏高原地磁场（Ｘ, Ｙ,Ｚ ）的泰勒多项式模型和青藏高原地磁剩余场（△Ｘ,△Ｙ,△Ｚ）的冠谐 模型,并绘制了相应的理论地磁图．分析了磁异常点对地磁场模型的影响,对比分析了地磁 场的多项式模型和冠谐模型,讨论了地磁场模型的边界效应问题．  相似文献   

软土路基沉降实时建模动态预测   总被引：6，自引：2，他引：4  

肖武权  冷伍明 《岩土力学》2005,26(9):1481-1484

在路基填筑施工过程中,用多项式与时间序列AR组合模型预测其沉降变形发展。根据沉降观测值,采用统计分析方法识别和建立多项式预测模型,预测在某时期沉降趋势值;用平稳时间序列分析方法建立随机部分模型,并预测沉降随机部分值,二者之和即为某时期沉降预测值。随着新观测数据的不断加入,及时修改预测模型参数值,达到实时预测之目的。工程实例研究表明：组合模型预测值明显优于单一趋势模型预测值。组合模型一步预测误差绝对值大多数情况下小于5 mm。预测步数越多,预测误差则越大。  相似文献   

北斗三号卫星位置插值研究   总被引：1，自引：0，他引：1  

王建敏  李特 《测绘通报》2021,(12):50-53

针对北斗精密星历只能提供离散的三维坐标,而无法提供任意时刻卫星位置的问题,本文提出插值法计算任意时刻的卫星位置,即分别采用拉格朗日插值法、多项式拟合法、分段线性插值法及径向基函数拟合法对北斗三号卫星精密星历进行内插。试验结果表明,拉格朗日插值法和多项式拟合法能够较好地内插BDS-3的位置坐标。搭载CZ-3A运载火箭的卫星X方向位置和搭载CZ-3C运载火箭的卫星Z方向位置均采用拉格朗日插值法解算效果最优;其余位置方向采用多项式拟合法解算效果最优。  相似文献   

Use of evolutionary computing for modelling some complex problems in geotechnical engineering     

Mohamed A. Shahin 《Geomechanics and Geoengineering》2015,10(2):109-125

In this paper, the feasibility of using evolutionary computing for solving some complex problems in geotechnical engineering is investigated. The paper presents a relatively new technique, i.e. evolutionary polynomial regression (EPR), for modelling three practical applications in geotechnical engineering including the settlement of shallow foundations on cohesionless soils, pullout capacity of small ground anchors and ultimate bearing capacity of pile foundations. The prediction results from the proposed EPR models are compared with those obtained from artificial neural network (ANN) models previously developed by the author, as well as some of the most commonly available methods. The results indicate that the proposed EPR models agree well with (or better than) the ANN models and significantly outperform the other existing methods. The advantage of EPR technique over ANNs is that EPR generates transparent and well-structured models in the form of simple and easy-to-use hand calculation formulae that can be readily used by practising engineers.  相似文献   

一种区域似大地水准面模型拟合方法分析     

马鸿炜  郭金运  李国伟  王书阳 《海洋测绘》2014,(1):8-11

GPS技术结合(似)大地水准面模型,可快速高精度的获取测点正常高,因此精化区域(似)大地水准面成为各国家和地区建立现代高程基准的重要任务。利用GPS水准进行区域似大地水准面拟合,通过实验比较分析了二次多项式、三次多项式、多面函数、移动曲面模型,论证了各自模型的特点,实验结果表明:对于地势较平坦的实验区,以上几种方法拟合的区域似大地水准面精度都在4cm以内,都能满足一般工程应用的精度要求,其中移动曲面模型拟合的实验区似大地水准面最佳。  相似文献   

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于合理  郝金明  刘伟平  田英国  张鹤 《大地测量与地球动力学》2014,34(1):161-164

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以大比例尺扫描地形图为参考的卫星影像纠正方法研究     

赵羲 《测绘与空间地理信息》2014,(11)

采用一维仿射变换对扫描地形图进行定向,并以此为控制参考,利用多项式纠正算法对无传感器参数的卫星影像进行纠正,并分析了纠正误差。  相似文献