Last summer in Barcelona, Joachim Kock floated the idea that there might be a connection between two invariants of graphs: the Tutte polynomial and the magnitude function. Here I’ll explain what these ...

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, ...

Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

For y= a0.x^0 + a1.x^1 + a2.x^2 + ..... + aN.x^N We input a polynomial function as: a0,a1,a2,a3,.....,aN For example, If we want a graph of y= x^3 + 4x^2 + 5 we feed in the values: 5,0,4,1 then input ...

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

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

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 ...

In this article, we will see how the Taylor series can help us simplify functions like cos(θ) into polynomials for ease of computation. How do you define Taylor Series? Taylor series is a modified ...

Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, Nouvelle Série, Vol. 54 (102), No. 2 (2011), pp. 185-191 (7 pages) Subdivision and subdivision/iterative hybrid methods for ...

Mathematics of Computation, Vol. 34, No. 150 (Apr., 1980), pp. 441-463 (23 pages) Constructive proofs and several generalizations of approximation results of J. H. Bramble and S. R. Hilbert are ...

Abstract: The construction of spectral filters for graph wavelet transforms is addressed in this paper. Both the undecimated and decimated cases will be considered. The filter functions are ...