1 research outputs found
Could Ren\'e Descartes have known this?
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 as above up to degree 8
as well as a general conjecture about such combinations.Comment: 15 pages, no figure