Equations with equivalent roots
J. Cohn (1977)
Acta Arithmetica
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J. Cohn (1977)
Acta Arithmetica
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James Joseph Sylvester
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Milan Geryk (1972)
Aplikace matematiky
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Juraj Mamrilla (1982)
Mathematica Slovaca
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J. Čermák (1955)
Annales Polonici Mathematici
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P. H. Diananda (1964)
Annales Polonici Mathematici
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Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.