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8 articles for “positive integer”
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Research ArticleOpen accessPhrase in the titleUnique Representation of Positive Integers as a Sum of Distinct Tribonacci NumbersSalim Badidja, Abdelmadjid BoudaoudLet (Tm)m≥1 be the tribonacci sequence. We show that every integer N ≥ 1 can be written as a sum of the terms αm Tm, where m runs over the set of strictly positive integers and αm (m ≥ 1) are either 1 or 0. The previous representation of N is unique if each time that we have αm = … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 16 Mar 2017 · 8,596 accessesView PDFCite
Research ArticleOpen accessIn the keywordsModules in σ[M] with Chain Conditions on δM-small SubmodulesAli O. AlattassProblem statement: Let M be a right module over a ring R. In this article modules in σ[M] with chain conditions on δM- small submodules are studied. Approach: With the help of known results about M- singular, Artinian and Noetherian modules the techniques of the proofs of our main results use the properties of δM- small, δM- supplement and δM- … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,478 accessesView PDFCite
Research ArticleOpen accessIn the abstractFast Approach to Factorize Odd Integers with Special DivisorsXingbo Wang, Junjian ZhongThe paper proves that an odd composite integer N can be factorized in O((log2N)4) bit operations if N = pq, the divisor q is of the form 2αu +1 or 2αu-1 with u being an odd integer and α being a positive integer and the other divisor p satisfies 1 …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 27 Jan 2020 · 7,436 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Impact of Organizational Justice on Teachers’ Work Related Outcomes in Egypt with an Integer Programming ModelEssam Abdel-Hadi Ali Khalil, Iman Mohamed SharafThis study examines the impact of perceived organizational justice on Egyptian teachers’ work related outcomes. It investigates the direct impact of organizational justice on teachers’ job satisfaction and organizational commitment and its indirect impact on their turnover intention through these factors. It also examines the difference in teachers’ perception of organizational justice and work related outcomes in public schools from … …American Journal of Economics and Business Administration, Vol. 6, Issue 4 · 5 Jan 2015 · 7,420 accessesView PDFCite
Research ArticleOpen accessIn the abstractDistribution of Records Defined on Ordered Words Representing Lattice PathsA. M. Alahmadi, E. A. MahmoudProblem statement: Let the sequence i1,i2,…,in, denoted by Snn be an increasing ordered word of length n taken from the set of the n positive integers S= {1,2,…,n}, m, n ∈N+, m≥n.. Approach: That is 1≤i1≤i2≤…≤in≤n. Treating Snn as a sequence of weak records {Lj = ij}, i, j = 1,2,…,n, the distribution of the single weak record as well … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 6,998 accessesView PDFCite
Research ArticleOpen accessIn the abstractGreatest Common Divisor and Least Common Multiple Matrices on Factor Closed Sets in a Principal Ideal DomainA. N. El-Kassar, S. S. Habre, Y. A. AwadProblem statement: Let T be a set of n distinct positive integers, x1, x2, ..., xn. The n×n matrix [T] having (xi, xj), the greatest common divisor of xi and xj, as its (i,j)-entry is called the greatest common divisor (GCD) matrix on T. The matrix [[T]] whose (i,j)-entry is [xi, xj], the least common multiple of xi and xj, … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 8,379 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Numerical Test on the Riemann Hypothesis with ApplicationsN. K. Oladejo, I. A. AdetundeProblem statement: The Riemann hypothesis involves two products of the zeta function ζ(s) which are: Prime numbers and the zeros of the zeta function ζ(s). It states that the zeros of a certain complex-valued function ζ (s) of a complex number s ≠ 1 all have a special form, which may be trivial or non trivial. Zeros at the negative … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 7,859 accessesView PDFCite
InvestigationOpen accessAll words, across the recordAn Investigation into Labouchère’s Betting System to Improve Odds of Favorable Outcomes to Generate a Positive Externality EmpiricallyJake Billings, Sebastian Del BarcoThe Labouchère gambling system is hypothesized to increase the probability of winning a predetermined arbitrary profit in a gambling system such as a coin flip or a roulette game in which both payouts and odds are 1:1. However, use of the system increases the downside monetary risk in the event of a streak of multiple losses. To begin, a player … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 26 Aug 2017 · 7,833 accessesView PDFCite