回归直线的拟合度

采用模糊数学的方法研究回归直线与实测点的拟合度,提出回归直线的似合度,给出计算回归直线拟合度的方法。     

地质统计学变差函数人机对话拟合

变差函数的研究在地质统计学中具有十分重要作用，本文运用界面图形图像处理强的Ｃ￣（＋＋）语言实现了界面友好汉化人机对话变差函数的拟合，主要包括管理菜单的生成，实验变差值的求解，变差图的图形显示，标准函数模型的计算及变差函数人机对话求解等部分。最后对比一下回归分析与人机对话拟合结果。     

南极地区小象幅航测内业成图

本文阐述了用１２０型非量测相机对南极中山站地区所摄制的１４００００小象幅航片制作１５０００地形图、正射像片图及１１００００地形图的原理、方法和精度。在外定向中适当增加控制点及考虑到加入适当的权的情况下，其外定向最大对点误差平面为２．２ｍ，高程为１．２ｍ。所制作的正射像片图和相应的地形图套合中误差为０．１４ｍｍ。其结果完全可满足南极科研、考察的要求     

砂土的抗剪强度与干密度的曲线拟合

利用曲线拟合的最小二乘法原理，确定砂土在某垂直压力下的抗剪强度与干密度的关系，并绘制曲线图，可避免人工处理数据的随意性，减小了误差。     

高精度局部区域GPS水准计算方法的探讨

针对现有各种 GPS水准存在的缺陷 ,我们运用现代计算数学的最新研究成果 ,提出了一种新的 GPS水准 B样条最小二乘拟合法。通过对我国西南某地区的 GPS测量成果进行处理的具体结果可以看出 ,该方法是一种更适用于高精度 GPS水准的拟合方法     

关于吉林地区挖孔桩设计问题的探讨

探讨了在吉林地区高层建筑中有关桩基规范执行及设计施工过程中常见的问题。通过对不同直径的桩端进入持力层深度的对比 ,明确 2d与 4d的对比要求 ,即持力层厚度的保证比进入持力层深度更重要。针对通长配筋“一通到底”的设计给施工带来的不便及浪费提出了新的建议。通过实践给出“α”角的建议值 ,既能减小扩大桩头斜面上受到卸荷后侧土压力 ,又可减少施工时的坍方。最后对降水及护壁提出了结合实际地质情况的 4种方法。     

Teacher''s Aide: Modeling Hole-Effect Variograms of Lithology-Indicator Variables

Common variogram models, such as spherical or exponential functions, increase monotonically with increasing lag distance. On the other hand, a hole-effect variogram typically exhibits sinusoidal waves that form peaks and troughs, thereby conveying the cyclicity of the underlying phenomenon. In order to incorporate this cyclicity into a stochastic simulation, hole effects in the experimental variogram must be fitted appropriately. In this paper, we recommend use of several multiplicative-composite variogram models to fit hole-effect experimental variograms. These consist of a cosine function to provide wavelength and phase of cyclicity, multiplied by a monotonic model (e.g., spherical) to attenuate amplitudes of the cyclical peaks and troughs. These composite models can successfully fit experimental lithology-indicator variograms that contain a range of cyclicities, although experimental variograms with poor cyclicity require special considerations.     

多源异质遥感影像的分形特征分析

分形理论已经在影像压缩、分割、去噪等方面表现出了较大的优势,其特点是能够准确地描述影像的空间结构信息和变化规律.分别采用分线法和三角棱柱法对同一实验地区的多种分辨率不同波段的遥感卫星影像进行分析,分别计算了图像中不同地形区域(如城区、湖泊、田地等)的分形维数,并根据两种算法的特性对图像进行了特征分析.多源遥感影像的实验结果证明,分形维数确实可以作为影像特征分析的一个重要工具,并可以指导分析遥感影像的应用情况.此外,在计算分形维数的过程中,采用三折线拟合法自适应地确定影像的无标度区间,提高了分形维数计算结果的可靠性.     

Mathematical expressions used in amino acid racemisation geochronology—A review

A variety of mathematical expressions that describe changes over time (t) in the extent of amino acid racemisation (AAR, expressed as the ratio of d- to l-amino acid isomers or epimers) have been used in Quaternary geochronology. The integrated rate equation was first used to estimate fossil age from D/L but its geochronological utility is disadvantaged by uncertainties regarding the conformity of AAR in fossil protein to apparent reversible first-order kinetics for the entire reaction history. ‘Non-linear’ models have subsequently been used to relate D/L to t. The logarithmic equation successfully applied to Atlantic Coastal Plain research has not achieved widespread application, perhaps due to the regional calibration required if sensitivity to temperature is to be modelled, or the difficulties encountered when extending the model to include fossils with D/L<0.1. Success producing a linear correlation between D/L transformed with a power function and t has seen this approach emerge as one of the most commonly applied in AAR geochronology in recent years. Like parabola curve fitting, which has been applied to trends in D/L versus t in a variety of fossils and geographic settings, power transformations may not be suitable for geochronological modelling during the latter stages of amino acid diagenesis. Several studies have demonstrated the utility of simple and contingent linear equations for relating D/L to t. Future research should aim to reduce reliance on independent calibration and explore the geochronological benefits of AAR in pools other than the total hydrolysable amino acids.     

A six-step practical approach to semivariogram modeling

Geostatistical prediction and simulation are being increasingly used in the earth sciences and engineering to address the imperfect knowledge of attributes that fluctuate over large areas or volumes—pollutant concentration, electromagnetic fields, porosity, thickness of a geological formation. Central to the application of such techniques is the need to know the spatial continuity, knowledge that is commonly condensed in the form of covariance or semivariogram models. Their preparation is subdivided here into the following steps: (1) Data editing, (2) Exploratory data analysis, (3) Semivariogram estimation, (4) Directional investigation, (5) Simple modeling, (6) Nested modeling. I illustrate these stages practically with a real data set from a geophysical survey from Elk County, Kansas, USA. The applicability of the approach is not limited by the physical nature of the attribute of interest.