Extractions: Dictionaries: General Computing Medical Legal Encyclopedia Word: Word Starts with Ends with Definition P-adic analysis P-adic analysis p -adic analysis) is a branch of mathematics that deals with functions of p-adic numbers. P-adic analysis concerns how functional solutions are related to rational solutions. It involves methods of algorithms for planning, summarizing, and interpreting approximate numerical solutions to functions of real numbers in comparison to complex numbers. It also involves arithmetic generalization and extension. Click the link for more information. P-adic number For every prime number p , the p -adic numbers form an extension field of the rational numbers first described by Kurt Hensel in 1897. They have been used to solve several problems in number theory, many of them using Helmut Hasse's local-global principle, which roughly states that an equation can be solved over the rational numbers if and only if it can be solved over the real numbers and over the p -adic numbers for every prime p . The space Q p of all p -adic numbers has the nice topological property of completeness, which allows the development of p-adic analysis akin to real analysis.
Extractions: The value and valuation of natural science collections : proceedings of the International Conference, Manchester, 1995 [held at The University of Manchester from 19-21 April 1995] / The Manchester Museum; Geological Curators Group. Ed. by J. R. Nudds ... - London : Geological Soc., 1997. - XII, 276 S. : Ill. ; 26cm
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