Could René Descartes Have Known This?

نویسندگان

  • Jens Forsgård
  • Vladimir P. Kostov
  • Boris Z. Shapiro
چکیده

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. Cogito ergo sum (I think, therefore I am)

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عنوان ژورنال:
  • Experimental Mathematics

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2015