On the Real and Imaginary Roots of Algebraical Equations
James Joseph Sylvester
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Displaying similar documents to “Equations with equivalent roots”
On the Real and Imaginary Roots of Algebraical Equations
On Arrangements of Real Roots of a Real Polynomial and Its Derivatives
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.
Remarks on A. B. Turowicz's and Z. Mikołajska's notes on approximations to roots of positive numbers
P. H. Diananda (1964)
Annales Polonici Mathematici
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Commutativity of intertwining operators for semisimple groups
A. W. Knapp (1982)
Compositio Mathematica
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On rational and integral roots of a polynomial
Yahya, Q.A.M.M. (1968)
Portugaliae mathematica
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Roots of the circular cylindrical shell characteristic equation
Milan Geryk (1972)
Aplikace matematiky
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Periodicity and roots of transfinite strings
Olivier Carton, Christian Choffrut (2010)
RAIRO - Theoretical Informatics and Applications
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This contribution extends the notions of roots and periodicity to strings of transfinite lengths. It shows that given a transfinite string, either it possesses a unique root or the set of its roots are equivalent in a strong way.