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math.RA2012
A proof of the main theorem on Bezoutians
Branko Ćurgus, Aad Dijksma
We give a self-contained proof that the nullity of the Bezoutian matrix associated with a pair of polynomials and equals the number of their common zeros counting multiplic…
math.MG2012
Ceva's triangle inequalities
Árpád Bényi, Branko Ćurgus
We characterize triples of cevians which form a triangle independent of the triangle where they are constructed. This problem is equivalent to solving a three-parameter family of i…