The field of polynomial systems occupies a central role in computational mathematics, where the intricate interplay between algebra, geometry, and computational complexity is evident. Research in this ...

Many problems from the sciences can be modelled as the problem of computing the solutions to a system of polynomial equations. Starting from an example application, we will discuss basic strategies ...

We give conditions under which the number of solutions of a system of polynomial equations over a finite field 𝔽q of characteristic p is divisible by p. Our setup involves the substitution ti ↦ f(ti) ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Breakthroughs, discoveries, and DIY tips sent every weekday. Terms of Service and Privacy Policy. Most people’s experiences with polynomial equations don’t extend ...

Vol. 58, No. 4, Part 2 of 2. Special Issue on Computational Economics (July-August 2010), pp. 1037-1050 (14 pages) Multiplicity of equilibria is a prevalent problem in many economic models. Often ...