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Could Rene Descartes Have Known This?
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 3
2015 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 24, no 4, 438-448 p.Article in journal (Refereed) Published
Abstract [en]

Below we discuss the partition of the space of real univariate polynomials according to the number of positive and negative roots and signs of the coefficients. We present several series of non-realizable combinations of signs together with the numbers of positive and negative roots. We provide a detailed information about possible non-realizable combinations up to degree 8 as well as a general conjecture about such combinations.

Place, publisher, year, edition, pages
2015. Vol. 24, no 4, 438-448 p.
Keyword [en]
descartes' rule of signs, standard discriminant
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-123202DOI: 10.1080/10586458.2015.1030051ISI: 000362653800006OAI: oai:DiVA.org:su-123202DiVA: diva2:872397
Available from: 2015-11-18 Created: 2015-11-18 Last updated: 2015-11-18Bibliographically approved

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