Uncertainty in GPS Networks due to Remaining Systematic Errors: The Interval Approach

A realistic assessment of the total uncertainty budget of Global Positioning System (GPS) observations and its adequate mathematical treatment is a basic requirement for all analysis and interpretation of GPS-derived point positions, in particular GPS heights, and their respective changes. This implies not only the random variability but also the remaining systematic errors. At present in geodesy, the main focus is on stochastic approaches in which errors are modeled by means of random variables. Here, an alternative approach based on interval mathematics is presented. It allows us to model and to quantify the impact of remaining systematic errors in GPS carrier-phase observations on the final results using deterministic error bands. In this paper, emphasis is given to the derivation of the observation intervals based on influence parameters and to the study of the complex linear transfer of this type of uncertainty to estimated point positions yielding zonotopes. From the presented simulation studies of GPS baselines, it turns out that the uncertainty due to remaining systematic effects dominates the total uncertainty budget for baselines longer than 200 km.     

基于组件式GIS的唐山市区环境地质评价

唐山市区地质环境条件复杂,构造发育,多种地质灾害频繁发生。因此,进行唐山市区环境地质评价具有重要现实意义。本文在综合分析唐山市区地质环境状况的基础上,基于组件式GIS工具MO,利用模糊综合评判方法,对唐山市区进行了环境地质评价,将评价结果划分为质量不同的4类区域,为城市的发展及规划提供依据。     

基于模糊数学的公路枢纽重要性综合评判

通过对交通枢纽的介绍强调了公路枢纽的重要性,具体介绍了模糊综合评判的方法,重点介绍了隶属函数的概念以及常见的模糊分布,然后对公路枢纽的重要性进行了模糊综合评判,最后用东北地区几个城市的数据验证了模型的合理性。实验结果表明,利用模糊数学的方法,对于评判交通枢纽的重要性起着关键的作用。     

模式识别在手腕骨自动识别中的应用研究

手腕骨自动识别是实现骨龄评定自动化的关键。以数字化仪采集数据为基础,研究了模式识别与模糊数学在手腕骨自动识别中的应用理论和方法。实验证明,模式识别的应用是成功的。     

Momentum and energy balance equations for compacting sediments

Coupled energy and momentum balance equations are derived for a one-dimensional sequence of compacting sediments. These transient, nonlinear partial differential equations represent the one-dimensional equations of state for an accumulating sedimentary basin. A numerical solution is presented which provides a first-order approximation for porosity, temperature, and fluid pressures in the northern Gulf of Mexico. It seems that compaction disequilibrium is the primary mechanism for development of excess fluid pressures. Furthermore, the coupling of the equations demonstrates that temperature and pressure cannot be treated independently as may have been done in diagenetic studies. Some areas for further investigations are indicated.     

青岛地铁工程绿色施工评估体系初探

本文以青岛地铁3号线、2号线基坑工程为背景,针对基坑"土岩组合"的特点,研究施工过程中对环境污染与破坏的影响因素,提出地铁工程绿色施工内涵。在广泛调查基础上,确定了9个指标项,44个因素项,129个分因素项,提出绿色施工评价标准。通过层次分析计算指标与因素的权重,得到评价模型,对地铁工程绿色施工环境影响进行评价。研究结果表明,该评价模型简单易行,对推动地铁工程绿色施工具有现实意义。     

点态性质与一致性质的一个新关系

为了研究点态性质和一致性质之间的关系,应用紧性性质在拓扑意义下得到逐点有界性质蕴含一致有界性质的结论,并将其推广到连续函数族的情况.基于Baire定理,得到完备度量空间中的逐点收敛性质可导出一致有界性质的结论.     

基于灰色关联与模糊数学的重力式挡土墙震害评估

龙门山地区强震荷载导致大量已建边坡支挡结构严重受损,如何对震区受损挡土墙进行震害评估成为亟待解决的技术难点。本文首先通过对研究区挡土墙的震害分析,总结出其主要破坏模式包括滑移破坏、沉降破坏、倾覆破坏、墙身破坏以及越顶破坏5类。然后根据全面性、重要性以及科学性原则对影响震害评价的因子进行定性分析和分类,并结合挡墙的破坏模式,综合分析得到挡土墙安全评估的敏感性因子和一般因子。将震害范围60%作为挡墙评价的敏感性因子,而一般因子分为两级共10个指标,包括:滑移距离,沉降深度,倾斜角度,裂缝数量,裂缝长度比,开裂深度比,开裂宽度,错动距离,垮塌范围,覆盖范围。最后,采用灰色关联分析与模糊数学理论相结合的方法构建挡土墙震害评估体系,从而变事后处理为事先预防,为灾后恢复重建服务。     

组合数学在计算机科学中的应用

介绍了组合数学的概念、起源与研究的主要内容,分析了组合数学的特点,阐述了组合数学与计算机软件的联系,并着重通过两个例子说明了Ramsey数在计算机科学的信息检索、分组交换网设计分支中的重要应用.     

Estimation of parameters in petrologic materials balance equations

A rigorous treatment of the least-squares estimation of the parameters in petrologic materials balance equations is developed to take into account the uncertainties inherent in the chemical analyses. The choice of the optimal estimation procedure for a particular problem is dependent upon the extent of the petrogenetic understanding of the exact nature of the materials balance involved. Some of the complications entailed in obtaining least-squares estimates are illustrated by the examples of magmatic differentiation and metamorphic reactions.