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52 articles for “Finite field”
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Research ArticleOpen accessIn the abstractEstimations of Neutrino and Graviton Masses by a Phenomenological Mass Relation for Stable ParticlesDimitar T. ValevThe ratio between the proton and electron masses was shown to be close to the ratio between the shortest lifetimes of particles, decaying by the electromagnetic and strong interactions. The inherent property of each fundamental interaction is defined, namely the Minimal Lifetime of the Interaction (MLTI). The rest mass of the Lightest Free Massive Stable Particle (LFMSP), acted upon by … …Physics International, Vol. 6, Issue 2 · 25 Aug 2015 · 8,966 accessesView PDFCite
Research ArticleOpen accessIn the abstractFINITE VOLUME METHOD OF MODELLING TRANSIENT GROUNDWATER FLOWN. Muyinda, G. Kakuba, J. M. MangoIn the field of computational fluid dynamics, the finite volume method is dominant over other numerical techniques like the finite difference and finite element methods because the underlying physical quantities are conserved at the discrete level. In the present study, the finite volume method is used to solve an isotropic transient groundwater flow model to obtain hydraulic heads and flow … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 15 Feb 2014 · 7,108 accessesView PDFCite
Research ArticleOpen accessIn the abstractON SELF-INVERSE BINARY MATRICES OVER THE BINARY GALOIS FIELDAli Muhammad Ali Rushdi, Fares Ahmad Muhammad GhalebAn important class of square binary matrices over the simplest finite or Galois Field GF(2) is the class of involutory or Self-Inverse (SI) matrices. These matrices are of significant utility in prominent engineering applications such as the study of the Preparata Transformation or the analysis of synchronous Boolean Networks. Therefore, it is essential to devise appropriate methods, not only for … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 4 Sep 2013 · 7,248 accessesView PDFCite
Research ArticleOpen accessIn the abstractFinite Bounded Expanding Carmelian White Hole Universe Without Dark MatterJohn Gideon HartnettThe solution of Einstein’s field equations in Cosmological General Relativity (CGR), where the Galaxy is at or cosmologically near the center of a finite yet bounded spherically symmetrical isotropic gravitational field, is identical with the unbounded solution. I show that this leads to the conclusion that the Universe may be viewed as a finite expanding white hole. The fact that … …Physics International, Vol. 3, Issue 2 · 7 May 2013 · 6,935 accessesView PDFCite
Research ArticleOpen accessIn the abstractComparison Between Niemann’s and Finite Element Method for the Estimation of Maximum Allowable Stress of Meshing Spur Gear Teeth at Highest Point of Single Tooth ContactKonstandinos G. Raptis, Theodore N. Costopoulos, Andonios D. TsolakisPurpose of this study is the consideration of loading and contact problems encountered at rotating machine elements and especially at toothed gears. The later are some of the most commonly used mechanical components for rotary motion and power transmission. This fact proves the necessity for improved reliability and enhanced service life, which require precise and clear knowledge of the stress … …American Journal of Engineering and Applied Sciences, Vol. 5, Issue 2 · 27 Aug 2012 · 7,759 accessesView PDFCite
Research ArticleOpen accessIn the abstractHeat-Modeling of Microwave Assisted Epoxidation of Palm Acid OilN. Saifuddin, L. Wei Zhan, K. Xin NingProblem statement: While microwave chemistry could well be the most convenient, rapid and energy-saving way to initiate a chemical reaction, the issues of thermal versus microwave specific effect remain unaddressed. Approach: A three-dimensional Finite Element Model (FEM) was developed to predict temperature profile during the enzymatic epoxidation of palm acid oil using microwave heating. Three-dimensional partial differential equations are formulated … …American Journal of Applied Sciences, Vol. 8, Issue 3 · 25 Mar 2011 · 7,676 accessesView PDFCite
Research ArticleOpen accessIn the abstractRating of Spur Gear Strength Using Photoelasticity and the Finite Element MethodKonstandinos G. Raptis, Theodore N. Costopoulos, Georgios A. Papadopoulos, Αndonios D. TsolakisProblem statement: Toothed gears are some of the most used machine elements for motion and power transmission between rotating shafts. This fact induces the need for improved reliability and higher endurance, which require precise and clear knowledge of the gear tooth stress field during meshing. Approach: This study considered the calculation of maximum stress at gear tooth root when the … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 1 · 31 Mar 2010 · 7,879 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 abstractDesign and Simulation of Microelectromechanical System Capacitive Shunt SwitchesHaslina Jaafar, Othman Sidek, Azman Miskam, Shukri KorakkottilProblem statement: RF MEMS switch is one of MEMS area that creates devices that have great potential to improve the performance of communication circuits and systems and enables the realization of micro size mechanical switches embedded in electronics devices. The low voltage switches are necessary due to their compatibility of standard IC technology in RF application and microelectronics systems. In … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 7,710 accessesView PDFCite
Research ArticleOpen accessIn the abstractReconfigurable Elliptic Curve Crypto-Hardware Over the Galois Field GF(2163)Mohamed Abdelkader Bencherif, Hamid Bessalah, Abderrezak GuessoumProblem statement: In the last decade, many hardware designs of elliptic curves cryptography have been developed, aiming to accelerate the scalar multiplication process, mainly those based on the Field Programmable Gate Arrays (FPGA), the major issue concerned the ability of embedding this strategic and strong algorithm in a very few hardware. That is, finding an optimal solution to the one … …American Journal of Applied Sciences, Vol. 6, Issue 8 · 31 Aug 2009 · 7,346 accessesView PDFCite