Corrections to "Irreducibility of the iterates of a quadratic polynomial over a field" (Acta Arith. 93 (2000), 87-97)
Mohamed Ayad, Donald L. McQuillan (2001)
Acta Arithmetica
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Mohamed Ayad, Donald L. McQuillan (2001)
Acta Arithmetica
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Strebel, Kurt (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Gia Giorgadze (2003)
Banach Center Publications
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We discuss some approaches to the topological study of real quadratic mappings. Two effective methods of computing the Euler characteristics of fibers are presented which enable one to obtain comprehensive results for quadratic mappings with two-dimensional fibers. As an illustration we obtain a complete topological classification of configuration spaces of planar pentagons.
Raghavendra G. Kulkarni (2017)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this note we present a new method for determining the roots of a quartic polynomial, wherein the curve of the given quartic polynomial is intersected by the curve of a quadratic polynomial (which has two unknown coefficients) at its root point; so the root satisfies both the quartic and the quadratic equations. Elimination of the root term from the two equations leads to an expression in the two unknowns of quadratic polynomial. In addition, we introduce another expression in one...
L.J. Mordell (1955/56)
Mathematische Zeitschrift
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Ewa Ligocka (2006)
Annales Polonici Mathematici
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We give a simple algebraic condition on the leading homogeneous term of a polynomial mapping from ℝ² into ℝ² which is equivalent to the fact that the complexification of this mapping can be extended to a polynomial endomorphism of ℂℙ². We also prove that this extension acts on ℂℙ²∖ℂ² as a quotient of finite Blaschke products.
Jacek Chądzyński, Tadeusz Krasiński (1992)
Annales Polonici Mathematici
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A complete characterization of the Łojasiewicz exponent at infinity for polynomial mappings of ℂ² into ℂ² is given. Moreover, a characterization of a component of a polynomial automorphism of ℂ² (in terms of the Łojasiewicz exponent at infinity) is given.
Mireille Car (2004)
Acta Arithmetica
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Włodzimierz Bryc, Jacek Wesołowski (2015)
Studia Mathematica
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We study the infinitesimal generators of evolutions of linear mappings on the space of polynomials, which correspond to a special class of Markov processes with polynomial regressions called quadratic harnesses. We relate the infinitesimal generator to the unique solution of a certain commutation equation, and we use the commutation equation to find an explicit formula for the infinitesimal generator of free quadratic harnesses.
Vladimir Janković (2005)
The Teaching of Mathematics
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Boender, Henk, te Riele, Herman J.J. (1996)
Experimental Mathematics
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A. N. Isachenko (1989)
Banach Center Publications
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A. Płoski (1985)
Annales Polonici Mathematici
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Elomary, Mohamed Abdou (2003)
International Journal of Mathematics and Mathematical Sciences
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Laghribi, Ahmed (1999)
Documenta Mathematica
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H. Woźniakowski (1970)
Applicationes Mathematicae
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Hans Lewy (1965)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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