Abstract: Polynomial methods are an effective method for the synthesis of control systems. The calculation of certain functions with polynomial matrices which are represented by coefficients of ...

Abstract: In this paper we present a polynomial process algebra (PPA) like basic process algebra which can be used to model both polynomial behavior of parallel systems. It provides a nature framework ...

The Abhyankar-Sathaye Problem asks whether any biregular embedding $\varphi \colon {\Bbb C}^{k}\hookrightarrow {\Bbb C}^{n}$ can be rectified, that is, whether there exists an automorphism α ∈ Aut Cn ...

Problems in competitive programming, especially the ones involving enumeration some kind, are often solved by reducing the problem to computing something on polynomials and formal power series. This ...

MUCH use is made in combinatorial problems of generating functions in the form of polynomials and infinite power series, these being obtained by the manipulation of other algebraic expressions. In ...

This is a preview. Log in through your library . Abstract An analogue of Hubert's Syzygy Theorem is proved for the algebra 𝕊 n (A) of one-sided inverses of the polynomial algebra A[x₁,... , x n ] ...

This is a Haskell library to compute with multivariate polynomials. Polynomials are implemented as free modules (with a coefficient ring) over the monoid of monomials. The free module implementation ...

A polynomial is a chain of algebraic terms with various values of powers. There are some words and phrases to look out for when you're dealing with polynomials: \(6{x^5} - 3{x^2} + 7\) is a polynomial ...