Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

This project allows users to dynamically create and plot polynomial functions of varying degrees with user-defined coefficients and intercepts. The graph shows the polynomial curve along with the ...

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

Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

The College Mathematics Journal emphasizes the first two years of the college curriculum. The journal contains a wealth of material for teachers and students. A wide range of topics will keep you ...

The original code is as old as from 1995 and was written by Gerhard Krucker (see http://www.krucker.ch/skripten-uebungen/IAMSkript/IAMKap3.pdf#page=14). So all ...

Abstract: Growth transformations constitute a class of fixed-point multiplicative update algorithms that were originally proposed for optimizing polynomial and rational functions over a domain of ...

Given the graph of a common function, (such as a simple polynomial, quadratic or trig function) you should be able to draw the graph of its related function. The graph of the related function can be ...

Abstract: Generalized Chebyshev functions of an arbitrary order with up to three real-frequency zero pairs are derived in an explicit rational polynomial expression. Given in-band ripple level and ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...