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Friedrich Robert Helmert. Professor Friedrich Robert Helmert. Photographer unknown. contribution into geodesy and theory of errors. Technical University in Aachen, University of Berlin. Friedrich Robert Helmert (31 July 1843 – 15 June 1917) was a German geodesist and statistician with important contributions to the theory of errors .
This distribution was first described by the German geodesist and statistician Friedrich Robert Helmert in papers of 1875–6, where he computed the sampling distribution of the sample variance of a normal population. Thus in German this was traditionally known as the Helmert'sche ("Helmertian") or "Helmert distribution".
The Helmert transformation (named after Friedrich Robert Helmert, 1843–1917) is a geometric transformation method within a three-dimensional space. It is frequently used in geodesy to produce datum transformations between datums. The Helmert transformation is also called a seven-parameter transformation and is a similarity transformation .
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Mohr's circles for a three-dimensional state of stress. Mohr's circle is a two-dimensional graphical representation of the transformation law for the Cauchy stress tensor . Mohr's circle is often used in calculations relating to mechanical engineering for materials' strength, geotechnical engineering for strength of soils, and structural ...
Least-squares adjustment. Least-squares adjustment is a model for the solution of an overdetermined system of equations based on the principle of least squares of observation residuals. It is used extensively in the disciplines of surveying, geodesy, and photogrammetry —the field of geomatics, collectively.
The Helmert–Wolf blocking ( HWB) is a least squares solution method for the solution of a sparse block system of linear equations. [1] It was first reported by F. R. Helmert for use in geodesy problems in 1880; [2] H. Wolf [ de] (1910–1994) published his direct semianalytic solution in 1978. [3] [4] It is based on ordinary Gaussian ...
An even more accurate value was proposed in 1901 by Friedrich Robert Helmert according to gravity measurements performed under the auspices of the International Geodetic Association. Significant improvements in gravity measuring instruments must also be attributed to Bessel.