Polynomials, sign patterns and Descartes' rule of signs
By Descartes' rule of signs, a real degree $d$ polynomial $P$ with all nonvanishing coefficients with $c$ sign changes and $p$ sign preservations in the sequence of its coefficients ($c+p=d$) has ${\rm pos}\leq c$ positive and $\neg\leq p$ negative roots, where ${\rm pos}\equiv c\pmod2$ and $\n...
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Format: | Article |
Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2019-04-01
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Series: | Mathematica Bohemica |
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Online Access: | http://mb.math.cas.cz/full/144/1/mb144_1_4.pdf |