Choosing roots of polynomials with symmetries smoothly.
Mark Losik, Armin Rainer (2007)
Revista Matemática Complutense
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Mark Losik, Armin Rainer (2007)
Revista Matemática Complutense
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Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. In the paper we give different examples of overdetermined strata.
Raghavendra G. Kulkarni (2008)
The Teaching of Mathematics
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Giulio Peruginelli (2010)
Actes des rencontres du CIRM
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We will recall a recent result about the classification of those polynomial in one variable with rational coefficients whose image over the integer is equal to the image of an integer coefficients polynomial in possibly many variables. These set is polynomially generated over the integers by a family of polynomials whose denominator is and they have a symmetry with respect to a particular axis. We will also give a description of the linear factors of the bivariate separated...
Gallardo, Luis H. (2010)
Acta Mathematica Universitatis Comenianae. New Series
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Katsnelson, Victor (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Vladimir Petrov Kostov (2006)
Revista Matemática Complutense
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A real polynomial P of degree n in one real variable is hyperbolic if its roots are all real. A real-valued function P is called a hyperbolic polynomial-like function (HPLF) of degree n if it has n real zeros and P(n) vanishes nowhere. Denote by xk (i) the roots of P(i), k = 1, ..., n-i, i = 0, ..., n-1. Then in the absence of any equality of the form xi...
Andrej Dujella, Tomislav Pejković (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Vernescu, Andrei (2005)
General Mathematics
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