Titlebook: Geospatial Algebraic Computations; Theory and Applicati Joseph L. Awange,Béla Paláncz Book 2016Latest edition Springer-Verlag Berlin Heidel

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Positioning by Resection Methodsechnique which uses direction measurements as opposed to distances is presented. This positioning approach is known as the resection. Unlike in ranging where measured distances are affected by atmospheric refraction, resection methods have the advantage that the measurements are angles or directions which are not affected by refraction.

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https://doi.org/10.1007/978-3-319-25465-4Algebraic symbolic-numeric methods; Geodetic computation; Nonlinear equations; Robust estimation; Symbol

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https://doi.org/10.1007/978-3-540-76435-9e augmented with examples from the two fields. Ring theory forms the basis upon which polynomial rings operate. As we shall see later, exact solution of algebraic nonlinear systems of equations are pinned to the operations on polynomial rings. In Chap. ., polynomials will be discussed in detail. In

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https://doi.org/10.1007/978-1-4419-6247-8he observations are not of polynomial type, as exemplified by the GPS meteorology problem of Chap. ., they are converted into polynomials. The unknown parameters are then be obtained by solving the resulting polynomial equations. Such solutions are only possible through application of operations add

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Encyclopedic Dictionary of Polymersapter), for solving algebraic nonlinear systems of equations which you may encounter. The basic tools that you will require to develop your own algorithms for solving problems requiring closed form (exact) solutions are presented. This powerful tool is the “Gröbner basis” written in English as Groeb

PRISE

https://doi.org/10.1007/3-540-30683-8 resultants approaches. While Groebner basis may require large storage capacity during its computations, polynomial resultants approaches presented herein offers remedy to users who may not be lucky to have computers with large storage capacities. This chapter presents polynomial resultants approach

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https://doi.org/10.1007/3-540-29832-0e measurements than it is necessary to determine unknown variables, consequently the number of the variables . is less then the number of the equations .. Mathematically, a solution for such systems can exist in a least square sense. There are many techniques to handle such problems, e.g.,: