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For implementing the multiplications based on such polynomials, we have defined a like-polynomial basis (LPB) as an alternative to the original polynomial basis of GF 2m).
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The performance of the multiplications and inversions has been evaluated based on such irreducible polynomials, respectively.
We introduce a novel, fast and scalable method to compute the reachability profile of large networks, based on polynomials and polynomial collapsing operators.
In numerous cases, we can find the solution of the linear or non-linear functional equations by Polynomial Expansion Scheme (PES) or matrix methods (in the sense of collocation scheme) based on famous polynomials such as Taylor, Chebyshev, Berstein, Legendre, Laguerre, Hermite, Bessel, Lucas, and Boubaker [1, 2, 3, 10, 11, 12, 13].
Furthermore, many methods based on polynomials basis, such as Legendre, Chebyshev, Laguerre spectral methods and also semi-analytic methods such as Adomian decomposition, variational iteration and differential transform methods, can not justify the steady state property of fluid (u infty )=mathit{constant}).
It has been studied extensively and a number of approaches, mostly based on polynomials and piecewise polynomials, have been employed.
It comprises the author's lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.
To the best of our knowledge, no such paper has been published in order to derive RST separable 2D moment invariants based on bivariate polynomials, which defined as a combination of polynomials of uniform and non-uniform lattice.
Based on this polynomial, one can define the chromatic number as the minimum number of colors such that the chromatic polynomial is positive.
The code is based on tricubic polynomials in spherical coordinates.
Polynomial approximation based on Legendre polynomials is used to extend the methodology to a more general class of nonlinear systems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com