对评估勘探设计的数学方法探讨

本文介绍了模糊综合评判的基本原理和数学模型，并给出了在勘探设计评估中因素集、评价集的具体意义及具体的评估过程，最后指出了模糊综合评判在勘探设计评估中的优越性。     

含水层中海水入侵的数学模型

提出了考虑过渡带的适合潜水含水层和承压含水层的海水入侵数学模型,导出了相应的方程和定解条件.经实例验证,模型是合理和可靠的.     

双点后方交会的数学模型及解算程序

迄今为止，双点后方交会尚无简捷适用的数学模型。本文推导了双点后方交会四种图形通用的解算公式，并据此编写了适于可编程序计算器ｆｘ－４５００Ｐ的解算程序。     

地图复制印刷中图像变换数学模型的研究

研究了地图复制中图像变换的规律，给出了若干变换类型的数学模型，这些数学模型，已为计算实例和地图复制与印刷中的经验事实所验证。     

Similar single-difference model and its algorithm for solving GPS monitoring deformation directly at single epoch

A new similar singledifference mathematical model ( SS-DM) and its corresponding algorithm are advanced to solve the deformation of monitoring point directly in single epoch. The method for building the SSDM is introduced in detail, and the main error sources affecting the accuracy of deformation measurement are analyzed briefly, and the basic algorithm and steps of solving the deformation are discussed. In order to validate the correctness and the accuracy of the similar single-difference model, the test with five dual frequency receivers is carried out on a slideway which moved in plane in Feb. 2001. In the test, five sessions are observed. The numerical results of test data show that the advanced model is correct.     

GPS卫星运动状态算法及其软件实现

确定卫星的位置和速度是GPS定位导航的基础,以二体问题为基础,介绍了卫星运动状态的计算方法,建立了计算卫星实时位置、速度的数学模型,并运用C 语言实现了算法,证实了算法的正确性。