Abstract: Understanding the underlying graph structure of a nonlinear map over a particular domain is essential in evaluating its potential for real applications. In this paper, we investigate the ...

Disclaimer: I am not sure that i handled the way lower-order Chebysheb polynomials using the Chebysheb nodes correctly. This program demonstrates Chebyshev polynomial interpolation with the following ...

The explicit formula, which expresses the Alexander polynomials Δ_{n,3}(t) of torus knots T(n,3) as a sum of the Alexander polynomials Δ_{k,2}(t) of torus knots T(k,2), is found. Using this result and ...

Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

Robbie has been an avid gamer for well over 20 years. During that time, he's watched countless franchises rise and fall. He's a big RPG fan but dabbles in a little bit of everything. Writing about ...

Callum is a seasoned gaming managing editor for a number of publications and a gamer who will always try to shine a spotlight on indie games before giving AAA titles the time of day. He loves nothing ...

If you’re completely new to Microsoft Word, you’re probably wondering where to begin. You’ve come to the right place because we’ll get you started. From what you see in the Word window to how to save ...

ABSTRACT: The development of new technologies in smart cities is often hailed as it becomes a necessity to solve many problems like energy consumption and transportation. Wireless networks are part of ...

In expansions of arbitrary functions in Bessel functions or Spherical Bessel functions, a dual partner set of polynomials play a role. For the Bessel functions, these are the Chebyshev polynomials of ...