Three researchers from Bristol University are seeking to develop methods for analysing the distribution of integer solutions to polynomial equations. How do you know when a polynomial equation has ...

Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...

Finding the real solutions of a bivariate polynomial system is a central problem in robotics, computer modeling and graphics, computational geometry, and numerical optimization. We propose an ...

We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

This function is a polynomial in two dimensions, with terms up to degree 5. It is nonlinear, and it is smooth despite being complex, which is common for computer ...

This is a preview. Log in through your library . Abstract The subject of this paper are polynomials in multiple non-commuting variables. For polynomials of this type orthogonal with respect to a state ...