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

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Basics of Ring Theoryation for the understanding of the polynomial rings presented in Chap. .. Ring of numbers which is presented in Sect. . plays a significant role in daily operations. They permit operations addition, subtraction, multiplication and division of numbers. For those engaged in data collection, ring of numbers play the following role;
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umerical examples are presented. The renewed electronic supplement contains these new theoretical and practical topics, with the corresponding Mathematica statements and functions supporting their computations introduced and applied. This third edition is renamed in light of these technological advancements..978-3-319-79794-6978-3-319-25465-4
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Linear and Nonlinear Homotopy by solving three nonlinear geodetic problems: resection, GPS positioning and affine transformation. The method enlarging the domain of convergence is found to be efficient, less sensitive to rounding errors, and has a lower complexity compared to other local methods like Newton-Raphson.
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Robust Estimation. Outliers definition is not easy. Perhaps considering the problem from a practical point of the view, one can say that data points, whose appearance in the data set causes dramatically change in the result of the estimated parameters can be labeled as outliers. Basically, there are two different me
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LPS-GNSS Orientations and Vertical Deflectionshave access to the so called . or C/A-code of the GPS signal. This code is less precise when compared to the P-code used by the US military and its allies. The other source of error in GPS positioning was the Selective Availability (SA), i.e., intentional degradation of the GPS signal by the US mili
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https://doi.org/10.1007/3-540-29623-9 by solving three nonlinear geodetic problems: resection, GPS positioning and affine transformation. The method enlarging the domain of convergence is found to be efficient, less sensitive to rounding errors, and has a lower complexity compared to other local methods like Newton-Raphson.
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