Research ArticleOpen accessEvery word in the titleEEG Signals During Epileptic Seizure as a Semigroup of Upper Triangular MatricesFaisal Abdurabu Mubarak Binjadhnan, Tahir AhmadProblem statement: EEG signals during epileptic seizure can be presented as an algebraic structure, namely semigroup of upper triangular matrices. Approach: EEG signals during seizure were recorded and composed into set of matrices. They were transformed into upper triangular matrices using QR-Schur decomposition and finally as a semigroup of upper triangular matrices. Results: EEG signals during epileptic seizure were transformed … …American Journal of Applied Sciences, Vol. 7, Issue 4 · 30 Apr 2010 · 7,019 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Fuzzy Primary Γ-Ideals in Γ-Left Almost SemigroupsPairote YiarayongThe purpose of this paper is to introduce the notion of a weakly fuzzy quasi-primary Γ-ideals in Γ-left almost semigroups, we study product of fuzzy primary, fuzzy quasi-primary, fuzzy weakly completely primary, weakly fuzzy primary and weakly fuzzy quasi-primary Γ-ideals in Γ-left almost semigroups. Moreover, we investigate relationships between fuzzy weakly completely primary and weakly fuzzy quasi-primary Γ-ideals in Γ-left … …American Journal of Applied Sciences, Vol. 14, Issue 3 · 27 Mar 2017 · 7,190 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn a Class of Nonhomogeneous Fields in Hilbert SpaceRaéd HatamlehTwo-parametric semigroups of operators in Hilbert space with bounded infinitesimal doubly commuting operators are studied. The characteristics describing deviation of a semigroup from unitary one, when infinitesimal operators are unitary, in particular, nonunitary index, have been introduced. Necessary and sufficient conditions for nonunitary index finiteness have been obtained. …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,682 accessesView PDFCite
Research ArticleOpen accessIn the abstractON SOLUTIONS IN THE HYDRODYNAMIC APPROXIMATION OF SOLAR AND STELLAR WINDS WITH VISCOSITYPanagiotis N. Koumantos, Panaiotis K. Pavlakos, Xenophon D. MoussasIn this article we present some results in existence and uniqueness of strong and classical solutions of the hydrodynamic equations modeling solar and stellar winds. The system of Navier-Stokes equations for solar and stellar winds is considered in its corresponding differential evolution equation form (d/dt+A)υ(t) = F(υ(t), t), where F is a given non-linear function and -A is the infinitesimal … …Physics International, Vol. 5, Issue 2 · 30 May 2014 · 7,553 accessesView PDFCite
Research ArticleOpen accessIn the abstractIntroduction to the Besov Spaces and Triebel-Lizorkin Spaces for Hermite and Laguerre expansions and some applicationsA. Iris, P. LopezWe introduced new definitions of Besov spaces and Triebel-Lizorkin spaces associated with multidimensional Hermite expansions and multidimensional Laguerre expansions. We showed that the set of p-integrable functions is a Triebel-Lizorkin space with respect to the Gaussian measure and similarly, with respect to the probabilistic Gamma measure. Also, we showed that the Gaussian Sobolev spaces and Laguerre Sobolev spaces are Triebel-Lizorkin … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 7,580 accessesView PDFCite