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math.CO2026
Solving polynomial inequalities over spaces of convex sets and applications
Saugata Basu, Hamidreza Amini Khorasgani, Hemanta K. Maji +1
We develop a symbolic elimination theory for finite systems of recursive containment inequalities whose unknowns are convex subsets of a finite-dimensional real vector space. The r…
math.CO2024
Bounds on the realizations of zero-nonzero patterns and sign conditions of polynomials restricted to varieties and applications
Saugata Basu, Laxmi Parida
We obtain upper bounds, independent of the ambient dimension, for the number of realizable zero-nonzero patterns and (over ordered fields) sign conditions of a finite family of pol…