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 ...

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 Derivative Helper will derive any polynomials the user inputs and even graph it to give a visual aid. The user will input a function, such as y=3x^3+2x^2-x+6, in a GUI that will contain intuitive ...

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 ...

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 ...

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 ...

Vol. 31, No. 1, The 23rd International Conference on Finite and Infinite Dimensional Complex Analysis and Applications (2017), pp. 9-16 (8 pages) Abstract.The aim of this paper is to investigate and ...

Abstract: In this article, we investigate the stability analysis of a polynomial-fuzzy-model-based control system by employing a new form of approximate membership functions called Chebyshev ...