Nash Functions: Real Algebraic Geometry, Analytic Function, Semialgebraic Set, Implicit Function - Couverture souple
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Nash Functions
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In real algebraic geometry, a Nash function on an open semialgebraic subset U of Rn is an analytic function f: U - R satisfying a non trivial polynomial equation P(x,f(x)) = 0 for all x in U. (A semialgebraic subset of Rn is a subset obtained from subsets of the form {x in Rn : P(x)=0} or {x in Rn : P(x) 0}, where P is a polynomial, by taking finite unions, finite intersections and complements.) Polynomial and regular rational functions are Nash functions; the function xmapsto sqrt{1+x^2} is Nash on R; the function which associates to a real symmetric matrix its i-th eigenvalue (in increasing order) is Nash on the open subset of symmetric matrices with no multiple eigenvalue. Actually, Nash functions are those functions needed in order to have an implicit function theorem in real algebraic geometry. 72 pp. Englisch. N° de réf. du vendeur 9786131298332
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Nash Functions : Real Algebraic Geometry, Analytic Function, Semialgebraic Set, Implicit Function
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In real algebraic geometry, a Nash function on an open semialgebraic subset U of Rn is an analytic function f: U - R satisfying a non trivial polynomial equation P(x,f(x)) = 0 for all x in U. (A semialgebraic subset of Rn is a subset obtained from subsets of the form {x in Rn : P(x)=0} or {x in Rn : P(x) 0}, where P is a polynomial, by taking finite unions, finite intersections and complements.) Polynomial and regular rational functions are Nash functions; the function xmapsto sqrt{1+x^2} is Nash on R; the function which associates to a real symmetric matrix its i-th eigenvalue (in increasing order) is Nash on the open subset of symmetric matrices with no multiple eigenvalue. Actually, Nash functions are those functions needed in order to have an implicit function theorem in real algebraic geometry. N° de réf. du vendeur 9786131298332
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Nash Functions | Real Algebraic Geometry, Analytic Function, Semialgebraic Set, Implicit Function
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Taschenbuch. Etat : Neu. Nash Functions | Real Algebraic Geometry, Analytic Function, Semialgebraic Set, Implicit Function | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131298332 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 113292198
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Nash Functions
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -High Quality Content by WIKIPEDIA articles! In real algebraic geometrya Nash function on an open semialgebraic subset U of Rn is an analyticfunction f: U -> R satisfying a non trivial polynomial equationP(x,f(x)) = 0 for all x in U. (A semialgebraic subset of Rn is a subsetobtained from subsets of the form {x in Rn : P(x)=0} or {x in Rn : P(x)> 0}, where P is a polynomial, by taking finite unions, finiteintersections and complements.) Polynomial and regular rationalfunctions are Nash functions; the function xmapsto sqrt{1+x^2} is Nashon R; the function which associates to a real symmetric matrix its i-theigenvalue (in increasing order) is Nash on the open subset of symmetricmatrices with no multiple eigenvalue. Actually, Nash functions are thosefunctions needed in order to have an implicit function theorem in realalgebraic geometry.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 72 pp. Englisch. N° de réf. du vendeur 9786131298332
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