Powersum formula for polynomials whose distinct roots are differentially independent over constants.
Nahay, John Michael (2002)
International Journal of Mathematics and Mathematical Sciences
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Nahay, John Michael (2002)
International Journal of Mathematics and Mathematical Sciences
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Salvador Lucas (2005)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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This paper provides a framework to address termination problems in term rewriting by using orderings induced by algebras over the reals. The generation of such orderings is parameterized by concrete monotonicity requirements which are connected with different classes of termination problems: termination of rewriting, termination of rewriting by using dependency pairs, termination of innermost rewriting, top-termination of infinitary rewriting, termination of context-sensitive rewriting,...
Jakimczuk, Rafael (2004)
International Journal of Mathematics and Mathematical Sciences
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Miloslav Nekvinda (1989)
Aplikace matematiky
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The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
Conflitti, Alessandro (2006)
Applied Mathematics E-Notes [electronic only]
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Schauz, Uwe (2008)
The Electronic Journal of Combinatorics [electronic only]
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Xu, Yuan (2004)
Experimental Mathematics
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Ferrand, Emmanuel (2007)
Journal of Integer Sequences [electronic only]
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Almira, Jose María, López-Moreno, Antonio Jesús (2003)
Applied Mathematics E-Notes [electronic only]
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