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Research ArticleOpen accessIn the keywordsProof of Frankl's Conjecture: A Non-Constructive ApproachYonghong LiuLet U be a finite set and X a family of nonempty subsets of U,which is closed under unions. We establish a connection between Frankl'sconjecture and equipollence sets, in which a complementary set is anEquipollence set on the Frobenius group. We complete the proof of theunion-closed sets using a non-constructive approach. The proof relies upon thatwe need to prove, that … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 21 Sep 2022 · 6,175 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Method of Generating Index Label for Dynamic XML DataJayanthi Paramasivam, Tamilarasi AngamuthuProblem statement: The processing of the XML queries needs an efficient indexing method. The index generation includes the labeling of the nodes. But for the dynamic data, when the changes are made, the re-computation of the labeling is needed. Approach: Based on the structural indexing used the performance of the query processing system will be affected. The dynamic XML document … …Journal of Computer Science, Vol. 7, Issue 3 · 9 Mar 2011 · 6,840 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTopologies Induced by Relations with ApplicationsA. S. SalamaTopological structures induced by relations represents the process of extracting interesting decision rules from data. The attributes reduction and the calculation of core are the essentials to extract the decision rules. Finding the reducts, core and decision rules topologically is a new mathematical tool for discovering attribute dependencies in information systems. Problem statement: These mathematical tools employ some concepts from … …Journal of Computer Science, Vol. 4, Issue 10 · 31 Oct 2008 · 7,218 accessesView PDFCite
Research ArticleOpen accessIn the keywordsIntrahydrogen Bonding and Transition States Between Enol and Enethiol Tautomers in β-ThioxoketonesBahjat A. Saeed, Rita S. Elias, Ebraheem Abdu MusadProblem statement: Hydrogen bonding is one of the most important concepts in chemistry because it is crucial to understand many different interactions both in gas phase and in condensed media. A particular subset is presented by the intramolecular hydrogen bonds where two ends of the same molecule interact, resulting in a ringlike structure. Approach: The study involved theoretical investigation of … …American Journal of Applied Sciences, Vol. 8, Issue 8 · 18 Jul 2011 · 7,457 accessesView PDFCite
Research ArticleOpen accessIn the keywordsBayes Estimation of the Lifetime Parameters for the Exponential DistributionAhmed A. Abu-Taleb, Mahmoud M. Smadi, Ameen J. AlawnehBayes estimation for the parameters of the lifetime distribution when both survival and censoring time are exponentially distributed were studied. The marginal posteriors, Bayes estimates and credible sets were derived using conjugate priors. …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 7,302 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSemi Strongly E-Convex FunctionsE. A. Youness, T. EmamIn this study a new class of functions, called semi strongly E-convex functions, and generalized semi strongly E-convex functions are defined .We discuss some their basic properties and obtain sufficient optimality criteria for nonlinear programming problems involving these functions. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,819 accessesView PDFCite
Research ArticleOpen accessIn the keywordsCovering Approximations Approach to Interval Ordered Information SystemsNadia El Mokhtar Gheith, Amgad A. SalamaIt is been proved that the theory of rough set is very beneficial in working with conflict problems induced by the information endearment The original idea of the rough set is not accurate, however, when preference orders of characteristics domains (standard) are to be considered. Seeking the issue of covering approximation relative to a control relation in interval-ordered information systems … …Journal of Computer Science, Vol. 19, Issue 2 · 26 Feb 2023 · 5,608 accessesView PDFCite
Research ArticleOpen accessIn the keywordsONCODIAG Select and Test (ST) Algorithm: An Approximate Clinical Reasoning Model for Diagnosing and Monitoring Breast CancerO.N. Oyelade, A.A. Obiniyi, S.B. JunaiduClinical reasoning involves coordinated thinking strategies targeted at gathering and analyzing relevant information to arrive at a high-quality clinical solution to patients' medical problems. The correctness and proper choice of clinical reasoning approach chosen by a clinician or machine affect the accuracy and acceptability of the diagnosis; moreover, another challenge that usually surfaces during clinical reasoning is the burden of … …Current Research in Bioinformatics, Vol. 9, Issue 1 · 22 Feb 2020 · 8,942 accessesView PDFCite
EditorialOpen accessIn the keywordsFuzzy Bernstein-Stancu Operator of Rough I-Core of Triple SequencesAyhan Esi, Nagarajan Subramanian, M. Kemal OzdemirWe are going to present and investigate some fundamental characteristics of fuzzy Bernstein-Stancu polynomials of rough I-convergent of triple sequence spaces and at the same time examine the set of all fuzzy Bernstein Stancu polynomials of rough I-limits of a triple sequence spaces and also relation between analyticness and fuzzy Bernstein Stancu polynomials of rough I-core of a triple sequence … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 17 Dec 2019 · 6,557 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAssessing of the Competitiveness Level in the Industry using the Correlation Analysis on the Example of Agriculture of the Republic of Tatarstan, Russian FederationSvetlana Fanilevna Khasanova, Aigyl Ilshatovna FazullinaThis study presents the results of evaluation of the competitiveness of farmers and the agricultural sector in the region as a whole. Traditional approach of estimating monopolization level uses Herfindahl-Hirshman and Lerner indexes. But this methods not applicable in case of inhomogeneity of product in industry or when firms manufacture different type of products. The evaluation was performed by using … …American Journal of Agricultural and Biological Sciences, Vol. 10, Issue 1 · 26 Mar 2015 · 7,473 accessesView PDFCite