About: Risch algorithm

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In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives. It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who developed it in 1968. The complete description of the Risch algorithm takes over 100 pages. The Risch–Norman algorithm is a simpler, faster, but less powerful variant that was developed in 1976 by Arthur Norman.

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rdf:type	software
rdfs:label	Risch algorithm (en)
rdfs:comment	In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives. It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who developed it in 1968. The complete description of the Risch algorithm takes over 100 pages. The Risch–Norman algorithm is a simpler, faster, but less powerful variant that was developed in 1976 by Arthur Norman. (en)
sameAs	Risch algorithm Risch algorithm
dbp:wikiPageUsesTemplate	dbt:Citation_needed dbt:Cite_book dbt:Cite_journal dbt:Example_needed dbt:Math dbt:MathWorld dbt:Mvar dbt:Portal dbt:Reflist dbt:Short_description dbt:Calculus dbt:Integrals
Subject	Computer algebra Differential algebra Integral calculus
gold:hypernym	Algorithm
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Risch_algorithm?oldid=1070884622&ns=0
Wikipage page ID	289450 (xsd:integer)
page length (characters) of wiki page	12223 (xsd:nonNegativeInteger)
Wikipage revision ID	1070884622 (xsd:integer)
has abstract	In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives. It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who developed it in 1968. The algorithm transforms the problem of integration into a problem in algebra. It is based on the form of the function being integrated and on methods for integrating rational functions, radicals, logarithms, and exponential functions. Risch called it a decision procedure, because it is a method for deciding whether a function has an elementary function as an indefinite integral, and if it does, for determining that indefinite integral. However, the algorithm does not always succeed in identifying whether or not the antiderivative of a given function in fact can be expressed in terms of elementary functions. The complete description of the Risch algorithm takes over 100 pages. The Risch–Norman algorithm is a simpler, faster, but less powerful variant that was developed in 1976 by Arthur Norman. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Risch_algorithm
is Wikipage redirect of	Risch Algorithm Risch-Norman algorithm Risch–Norman algorithm
is Link from a Wikipage to another Wikipage of	List of undecidable problems Lists of integrals Nonelementary integral Antiderivative Axiom (computer algebra system) FriCAS Liouville's theorem (differential algebra) Computer algebra system List of algorithms Elementary function Gaussian integral Keith Geddes Exponential integral Absolutely integrable function

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