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The aim of the work reported has been to develop methods of solving random equations, that is, equations involving variates (random variables). The main difficulty of this task arises from the fact that no variate, if not degenerate, is invertible, or, algebraically expressed, even if the set V of variates is a commutative monoid under both addition and multiplication, it does not constitute a field. For this purpose a set S of elements, called stochastic quantities (for brevity, stochastics), of which V is a subset, has been constructed with the property that it constitutes a field.Conventional transformations between datums use only a relative offset between different frames of reference, but no relative rotation. Is this really enough? geodetic datum - a set of constants specifying the coordinate system used for geodetic control, i.e. for calculating coordinates of points on the Earth. At least eight constants are needed to form a complete datum: 3 to specify the location of the origin, 3 to specify the orientation of the coordinate system and two to specify the dimensions of the reference ellipsoid.
DATUMS AND DATUM TRANSFORMATIONS
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Credits, sources etc. - see also references at end This has so far been abstracted (and slightly modified) from : On the Shoulders of Giants-part II; by Francis E. Griggs Jr., Prof. of Civ.
Frequently Asked Questions (FAQ) about the National Geodetic Survey can be found either by entering ctrl-F to search for a word relevant to your question or by reviewing the material under one of the topics listed below. What is a geodetic datum? The Geodetic Glossary (National Geodetic Survey, National Ocean Service, National Oceanic and Atmospheric Administration, Rockville, MD, September 1986) pp. 54, defines geodetic datum as: "A set of constants specifying the coordinate system used for geodetic control, i.e., for calculating the coordinates of points on the Earth." "The datum, as defined in (1), together with the coordinate system and the set of all points and lines whose coordinates, lengths, and directions have been determined by measurement or calculation." These differing definitions require caution when using the word "datum."
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