: A DP curve is a new kind of parametric curve defined by Delgado and Peña (2003); it has very good properties when used in both geometry and algebra, i.e., it is shape preserving...
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...
We present a new certified and complete algorithm to compute arrangements of real planar algebraic curves. Our algorithm provides a geometric-topological analysis of the decompos...
Eric Berberich, Pavel Emeliyanenko, Alexander Kobe...
Abstract This paper explores different means of representation for algebraic transductions, i.e., word relations realized by pushdown transducers. The relevance of this work lies m...
—Let F2 denote the binary field and F 2 m an algebraic extension of degree m > 1 over F2 . Traditionally, elements of F 2 m are either represented as powers of a primitive ele...