Results 21 to 30 of about 531 (50)
A Reduction Method for Higher Order Variational Equations of Hamiltonian Systems [PDF]
, 2011 Let $\mathbf{k}$ be a differential field and let $[A]\,:\,Y'=A\,Y$ be a linear differential system where $A\in\mathrm{Mat}(n\,,\,\mathbf{k})$. We say that $A$ is in a reduced form if $A\in\mathfrak{g}(\bar{\mathbf{k}})$ where $\mathfrak{g}$ is the Lie ...
Aparicio, Ainhoa, Weil, Jacques-Arthur
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A generalization of Kruskal–Katona’s theorem
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Let K be a field, E the exterior algebra of a finite dimensional K-vector space, and F a finitely generated graded free E-module with homogeneous basis g1, . . ., gr such that deg g1 ≤ deg g2 ≤ · · · ≤ deg gr.
Amata Luca, Crupi Marilena
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras of hn besides programming its ...
Ceballos Manuel +2 more
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Cryptanalysis of matrix conjugation schemes
Journal of Mathematical Cryptology, 2014 In this paper we cryptanalyze two protocols: the Grigoriev–Shpilrain authentication protocol and a public key cryptosystem due to Wang, Wang, Cao, Okamoto and Shao.
Myasnikov Alex D., Ushakov Alexander
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An extension of Turán's inequality
, 2015 Let pm(x) = P (λ) m (x)/P (λ) m (1) be the m -th ultraspherical polynomial normalized by pm(1) = 1 . We prove the inequality |x|pn(x)− pn−1(x)pn+1(x) 0 , x ∈ [−1,1] , for −1/2 < λ 1/2 .
G. Nikolov, V. Pillwein
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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
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Isomorphism and isotopism classes of filiform Lie algebras of dimension up to seven
, 2015 Since the introduction of the concept of isotopism of algebras by Albert in 1942, a prolific literature on the subject has been developed for distinct types of algebras.
Falcón, O. J. +2 more
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Smarandache Sequences: Explorations and Discoveries with a Computer Algebra System [PDF]
, 2003 We study Smarandache sequences of numbers, and related problems, via a Computer Algebra System. Solutions are discovered, and some conjectures presented.Comment: To appear in the 2003 December issue of the Smarandache Notions ...
Gouveia, Paulo D. F. +1 more
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Computing Dynamic Output Feedback Laws
, 2003 The pole placement problem asks to find laws to feed the output of a plant governed by a linear system of differential equations back to the input of the plant so that the resulting closed-loop system has a desired set of eigenvalues.
Verschelde, Jan, Wang, Yusong
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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
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