Results 21 to 30 of about 74 (62)

Analysis of a key exchange protocol based on tropical matrix algebra

Journal of Mathematical Cryptology, 2018
In this paper, we consider a two party key-exchange protocol proposed in [D. Grigoriev and V. Shpilrain, Tropical cryptography, Comm. Algebra 43 (2014), 2624–2632, Section 2], which uses tropical matrix algebra as the platform.
Kotov Matvei, Ushakov Alexander
doaj   +1 more source

Fully developed mixed convection through a vertical porous channel with an anisotropic permeability: case of heat flux [PDF]

, 2015
The effect of anisotropy on the steady fully developed mixed convec- tion flow in a vertical porous channel is analytically studied. The side walls of the channel are prescribed by a constant heat flux and the flow at the entrance is upward, so that ...
FILIP, Diana Andrada, POP, Ioan, TRÎMBIȚAȘ, Radu T.   +2 more
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Exploring homotopy with hyperspherical tracking to find complex roots with application to electrical circuits

Open Mathematics
In the field of applied sciences, systems are frequently modeled using mathematical frameworks that include systems of nonlinear algebraic equations. Identifying their roots, whether real or complex, is of critical importance.
Sandoval-Hernandez Mario A., Jimenez-Islas Hugo, Vazquez-Leal Hector, Quemada-Villagómez Miriam L., Lopez-Gonzalez María de la Luz   +4 more
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Splitting the structured paths in stratified graphs. Application in Natural Language Generation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The concept of labeled stratified graph (LSG) introduces some method of knowledge representation. The inference process developed for this structures uses the paths of the stratified graphs, an order between the elementary arcs of a path and some results
Dănciulescu Dana, Colhon Mihaela
doaj   +1 more source

A new bound on cofactors of sparse polynomials

Forum of Mathematics, Sigma
We prove that for polynomials $ f, g, h \in \mathbb {Z}[x] $ satisfying $ f = gh $ and $ f(0) \neq 0 $ , the $\ell _2$ -norm of the cofactor $ h $ is bounded by $$ \begin{align*} \left\Vert {h} \right\Vert{}_2\leq ...
Ido Nahshon, Amir Shpilka
doaj   +1 more source

Optimal cubic Lagrange interpolation: Extremal node systems with minimal Lebesgue constant [PDF]

, 2015
In the theory of interpolation of continuous functions by algebraic polynomials of degree at most n − 1 > 2, the search for explicit analytic expressions of extremal node systems which lead to the minimal Lebesgue constant is still an intriguing topic in
RACK, Heinz-Joachim, VAJDA, Robert
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© Hindawi Publishing Corp. ON THE RESOLVENT OF AN IDEAL AND SOME APPLICATIONS

, 2002
We give an algorithm to compute a resolvent of an algebraic variety without com-puting its irreducible components; we decompose the radical of an ideal into prime ideals and we test the primality of a regular ideal.
Driss Bouziane, Abdelilah Kandri Rody
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Finite-dimensional flexible algebras associated with directed and weighted CW complexes

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we study a link between directed and weighted CW complexes (also called configurations) and flexible algebras determining which configurations are associated with those algebras.
Ceballos Manuel
doaj   +1 more source

Solving parameterized linear difference equations in terms of indefinite nested sums and products

, 2002
The described algorithms enable one to find all solutions of parameterized linear difference equations within ΠΣ-fields, a very general class of difference fields.
Carsten Schneider
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Algorithmic approach for Formal Fourier Series

, 2020
. The study of trigonometric series has started at the beginning of the nineteenth century. Joseph Fourier made the important observation that almost every function of a closed interval can be decomposed into the sum of sine and cosine functions.
Etienne Nana Chiadjeu, Wolfram Koepf
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