Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

We derive a formula for the chromatic polynomial of a chordal or a triangulated graph in terms of its maximal cliques. As a corollary we obtain a way to write down an explicit formula for the ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

I can find the best-fit polynomial function for the array, y = ax^2 + bx + c (where y = voltage output and x = incident temperature), and if I have arrays of data at flat fields captured at known T0, ...

The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...