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101 results for “algebra”
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Research ArticleOpen accessIn the keywordsMeasurable Functional Calculi and Spectral TheoryMykola YaremenkoIn this article, the spectral theory is considered, we study the spectral families and their correspondence to the operators on the reflexive Banach spaces; assume A is a well-bounded operator on reflexive Lebesgue spaces then the operator A is a scalar type spectral operator. The main goals are to obtain the characterization of the well-bounded operators in the terms of … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 6 Jul 2022 · 6,419 accessesView PDFCite
Research ArticleOpen accessIn the keywordsComputational Intelligence and Application of Frame Theory in Communication SystemsRajupillai, K., S. Palaniammal, K. BommurajuIn this study, we have to discuss the reduction of noise due to peak amplitude and power ratio in multi carrier modulation scheme like Orthogonal Frequency Division Multiplexing (OFDM) process using Frame theory. The frame operator of the frame which is positive, self adjoint, invertible and it commutes with synthesis operator. If X is dual frame in H with frame … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 4 · 30 Oct 2015 · 7,636 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA STUDY OF FIRST YEAR TERTIARY STUDENTS’ MATHEMATICAL KNOWLEDGE- CONCEPTUAL AND PROCEDURAL KNOWLEDGE, LOGICAL THINKING AND CREATIVITYGurudeo Anand Tularam, Kees HulsmanThis study focuses on students in first year environmental science degree programs where traditionally mathematical emphasis has been much less than the strict science or math majors. The importance now placed in applied mathematics means that students need to gain more conceptual and quantitative knowledge in not only the environmental degree programs but also in most if not all non-mathematical … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 1 Aug 2013 · 7,255 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNumber of Non-Unique Minors (of Various Orders) and Elements in the Calculation of General DeterminantsPatrick Marchisella, Gurudeo Anand TularamProblem statement: Many distinct properties of determinants have been studied and are known, yet a considerable number of properties still need further examination. This study investigates the number of minors (of various orders) and elements of a matrix A contained in the expansion of the general determinant of A, irrespective of the independence, principality and distinctness of such minors and … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 13 Oct 2012 · 7,432 accessesView PDFCite
Research ArticleOpen accessIn the keywordsGeneralized Cauchy's Models and Generalized IntegralsSabra RamadanThe space of generalized complex numbers C* has been constructed. The Cachy's model in the space of new generalized functions is well defined. The generalized integral of new generalized function over the compact K has been defined. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 6,659 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Kind of Intersection Graphs on Ideals of a RingA. A. TalebiProblem statement: Let R be a ring. The graph G(R) is the graph whose vertices are nontrivial ideal of R and in which two vertices u, v are joined by an edge, if and only if u ∩ v #{0}. Approach: In this study we study some properties of G(R). Results: We obtain conditions of R such that G(R) is … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 6 Feb 2012 · 7,258 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThai Expressive Speech Processing Technology: A ReviewSuphattharachai ChomphanProblem statement: The studies on Thai expressive speech or emotional speech have been conducted for years. Most of them are expected to analysis the characteristics of Thai expressive speech. However, the conclusive reviews on these studies have not been conducted for further study on the speech technology or application of Thai expressive speech. Approach: The review of research on Thai … …American Journal of Applied Sciences, Vol. 9, Issue 3 · 12 Jan 2012 · 6,733 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTonal Language Speech Compression Based on a Bitrate Scalable Multi-Pulse Based Code Excited Linear Prediction CoderSuphattharachai ChomphanProblem statement: Speech compression is an important issue in the modern digital speech communication. The functionality of bitrates scalability also plays significant role, since the capacity of communication system varies all the time. When considering tonal speech, such as Thai, tone plays important role on the naturalness and the intelligibility of the speech, it must be treated appropriately. Therefore these … …Journal of Computer Science, Vol. 7, Issue 2 · 25 Feb 2011 · 6,810 accessesView PDFCite
Research ArticleOpen accessIn the keywordsPassage to the Differences for the BDF's MethodsAbdelouahab SalmiIn this study, we give an improvement to the backward differentiation formula (BDF). We use a formula for the differences that permits us to determine the new coefficients αi^ and γi ^in function of the classical coefficients αi and γi of this method. Our proposed approach decreases the error and the cost of computation. Numerical results for concrete problems are … …Journal of Mathematics and Statistics, Vol. 2, Issue 3 · 30 Sep 2006 · 6,412 accessesView PDFCite