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12 articles for “Numbers Theory”
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Research ArticleOpen accessIn the keywordsA Simple and Accurate Relation Between the Logarithm Integral Li(x) and the Primes Counting Function π(x) is Derived Making use of the O.E.I.S. Prime Numbers “Sequences”Paolo AscarelliToday the prime numbers π(x) contained under the number x appears to be somewhat overestimated by the logarithm integral function Li(x) and underestimated by the function x/ln(x), both originally proposed by Gauss around 1792-1796. However, a simple and accurate expression, relating Li(x) and π(x), may be derived using the data reported on the O.E.I.S. “Sequences”. This relation can also suggest … …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 30 Sep 2021 · 7,739 accessesView PDFCite
Research ArticleOpen accessIn the abstractCalculation of the Hubble Constant, the Minimum Mass and the Proton Charge Radius Using the Dirac's Hypothesis on the Ratio of the Electrostatic Force to the Gravitational ForcePaul TalbotAtoui, M., Barbaro, M. B., Hoballah, M., Keyrouz, C., Lassaut, M., Marchand, D., Quéméner, G., & Voutier, E. (2023). Determination of the Moments of the Proton Charge Density. ArXiv, 13521. https://doi.org/10.48550/arXiv.2304.13521 Berman, M. S. (1992). Large Number Hypothesis. International Journal of Theoretical Physics, 31, 1447–1450. https://doi.org/10.1007/bf00673977 Beyer, A., Maisenbacher, L., Matveev, A., Pohl, R., Khabarova, K., Grinin, A., Lamour, T., … …Physics International, Vol. 14, Issue 1 · 2 Sep 2023 · 9,106 accessesView PDFCite
Research ArticleOpen accessIn the abstractImproved Meta-Heuristic for Multi-Objective Integrated Procurement, Production and Distribution Problem of Supply Chain Network Under Fuzziness UncertaintiesKaoutar Douaioui, Mouhsene Fri, Charif Mabrouki, El Alami SemmaIn this study, we devoted a design under uncertainty of a supply chain network composed of multiple suppliers, multiple plants, multiple distributors and multiple customers. The proposed model is a bi- objective mixed integer linear programming which consider several constraints and optimize the total costs including the procurement, production, storage and distribution costs as well as maximize on-time deliveries. In … …Journal of Computer Science, Vol. 17, Issue 12 · 27 Dec 2021 · 6,625 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Construction and Properties of Lattice-Group Structure in Cartesian Product SpacesDavronbek Malikov, Susmit BagchiThe lattice theory and group algebra have several applications in computing sciences as well as physical sciences. The concept of lattice-group structure is an interesting hybrid algebraic structure having potential applications. In this paper, the algebraic construction of lattice-group structure is formulated and associated algebraic properties are established. The proposed construction considers Cartesian product spaces. The concept of two-dimensional monoid … …Journal of Computer Science, Vol. 16, Issue 4 · 3 Apr 2020 · 7,834 accessesView PDFCite
Research ArticleOpen accessIn the abstractAssessing 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 · 7,467 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Importance of Numbers and the Need to Study Primes: The Prime QuestionsMatthew Curtis, Gurudeo A. TularamProblem statement: The study of prime numbers is important today as it was in ancient times. The level of interest in any form of mathematics of students in Australian high schools is decreasing and furthermore the level of interest in number theory is also less that it was before; prime numbers is not being considered as an area of interest … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 14 Sep 2011 · 9,656 accessesView PDFCite
EditorialOpen accessIn the abstractNew Kind of Statistical MethodsCagdas Hakan AladagAladag, C.H. and E. Egrioglu, 2012. Advanced Time Series Forecasting Methods. In: Advances in Time Series Forecasting, Aladag, C.H. and E. Egrioglu (Eds.), Bentham Science Publishers, Oak Park, ISBN-10: 1608053733. Aladag, C.H., 2011. A Hybrid Intelligent Technique Combines Neural Networks and Tabu Search Methods for Forecasting, Computer Search Algorithms. 1st Edn., Nova Publisher, ISBN: 978-1-61209-043-6. Aladag, C.H., E Egrioglu, U. … …Journal of Mathematics and Statistics, Vol. 10, Issue 4 · 28 Nov 2014 · 7,588 accessesView PDFCite
Research ArticleOpen accessIn the abstractModeling Tourist Arrivals Using Time Series Analysis: Evidence From AustraliaGurudeo AnandTularam, Victor Siew Howe Wong, Seyed AbdelhamidShobeiriNejadAustralian tourism has a logistic trend as Butler’s model shows. The stagnation has not been reached so opportunities exist to increase tourism. The logistic model predicts 7.2 million tourists in 2015 but time series models of ARIMA and VAR improve the prediction and explain the data. The ARIMA (2, 2, 2) fits well while the VAR lead to Granger causalities … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 10 Sep 2012 · 7,857 accessesView PDFCite
Research ArticleOpen accessIn the abstractReed-Muller Codec Simulation PerformanceO. O. Khalifa, A. H. Abdullah, N. Suriyana et al.The approach to error correction coding taken by modern digital communication systems started in the late 1940's with the ground breaking work of Shannon, Hamming and Golay. Reed-Muller (RM) codes were an important step beyond the Hamming and Golay codes because they allowed more flexibility in the size of the code word and the number of correctable errors per code … …Journal of Computer Science, Vol. 4, Issue 10 · 31 Oct 2008 · 7,284 accessesView PDFCite
Research ArticleOpen accessIn the abstractSupporting the Josephson Interpretation of Low Energy Nuclear Reactions and Stabilization of Nuclear WasteF. Osman, H. Hora, X. Z. Li et al.Brian Josephson appealed at the meeting of the Nobel Laureates July 2004 against the ignorance of physicist to the phenomenon of cold fusion. Though there are good reasons against many publications on this topic but not for all what was reported. It seems to be indicated to summarize the following serious, reproducible and confirmed observations on the reactions of protons … …American Journal of Applied Sciences, Vol. 2, Issue 6 · 30 Jun 2005 · 7,162 accessesView PDFCite