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261 articles for “S-Numbers”
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Research ArticleOpen accessEvery word in the titleStandard Abundance Distribution of Elements in the Universe and Magic Numbers with Boltzmann ProbabilityFrederick Osman, Heinrich HoraThe decay of the standard abundance distribution of elements in the Universe for heavy elements has well-know maxima near magic numbers of the nuclear shell model and deep minima in between. Combining the maxima as a generation probability N (Z) on the proton number Z of the nuclides, a Boltzmann probability shows decay N (Z) = N’ exp (-Z/Z’). The … …American Journal of Applied Sciences, Vol. 1, Issue 1 · 31 Mar 2004 · 7,393 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleTwister Generator of Random Normal Numbers by Box-Muller ModelAleksei F. Deon, Yulian A. MenyaevTwisting generators of the pseudorandom normal variables can use uniform random sequences as a basis. However, such technique could provide poor quality result in cases where the original sequences have insufficient uniformity or skipping of random values. This work offers a new approach for creating the random normal variables using the Box-Muller model as a basis together with the twisting … …Journal of Computer Science, Vol. 16, Issue 1 · 10 Jan 2020 · 11,556 accessesView PDFCite
Research ArticleOpen accessEvery word 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 accessEvery word in the titleThe Linear and Quadratic Nature of Sequences for Determining Prime Numbers by Elimination of CompositesJonathan M. Dugas, Brian M. O’ConnorA previously derived set of sequences for generating prime numbers is modified by various algebraic and trigonometric manipulations. The modified sequences are then used to more efficiently generate prime numbers. The modified sequences are simplified from their original form and are much easier to implement into a computer program. It is shown by computation that the modified sequences more efficiently … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 16 May 2018 · 7,405 accessesView PDFCite
HypothesisOpen accessEvery word in the titleSequences for Determination of Prime Numbers by Elimination of CompositesJonathan M. Dugas, Brian M. O’ConnorIn this study, sequences are used for direct computation of prime numbers. A single equation for generating all prime numbers with the exception of 2 and 3 and composite numbers that are not divisible by 2 or 3 is presented. A periodicity to the indices of the composites generated by that equation is determined. An equation to determine the indices … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 20 Jul 2017 · 8,042 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEfficient Realization of S-Box based reduced Residue of Prime Numbers using Virtex-5 and Virtex-6 FPGAsMohammed H. Al MijalliProblem statement: The S-Box transformation is a computationally intensive and important operation of the Advanced Encryption Standard (AES). Approach: This study presents the comparative study between reduced Residue of Prime Numbers and Galois Filed GF (28) based SBoxes using Virtex-5 and Virtex-6 FPGA devices. The implementation of S-Boxes is done using Very High speed integrated circuit Hardware Description Language (VHDL). … …American Journal of Applied Sciences, Vol. 8, Issue 8 · 18 Jul 2011 · 6,975 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleUse of Quantitative Polymerase Chain Reaction for Determining Copy Numbers of Transgenes in Lesquerella fendleriGrace Qianhong Chen, Jiann-Tsyh LinProblem statement: In transgenic plants, the number of transgene copies could greatly influence the level of expression and genetic stability of the target gene, thus it is important to develop an efficient method for accurate estimation of transgene copies. The quantitative Polymerase Chain Reaction (qPCR) technique is becoming more efficient nowadays to determine copy numbers of transgenes in transgenic plants, … …American Journal of Agricultural and Biological Sciences, Vol. 5, Issue 3 · 30 Sep 2010 · 8,191 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Algorithm for Accelerated Acquirement of Minimal Representation of Super-large NumbersMohammed Al-MaitahAn algorithm for accelerated acquirement of minimal representation of super-large numbers was presented. The algorithm considers a new form of arithmetic, which was called arithmetic of q-representation of large range integers; which was based on the numbers of the generalized sequence of Fibonacci. The estimations of the complexity of the offered algorithms are presented. …Journal of Computer Science, Vol. 2, Issue 12 · 31 Dec 2006 · 7,033 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe New Matrix Model of Computation Based Purely on Quite a New Concept of the Matrix Computations for Extremely Quick Web Pages LoadingZulfia A. ChotchaevaWe all dream of quick loading. Quicker than it is now. So that it loads immediately. What is needed for this? There are a lot of things to do. The most important things in it are computations. To speed up loading, we need to speed up computations. If we will find the way to multiply large numbers quicker than we … …Journal of Computer Science, Vol. 16, Issue 11 · 27 Nov 2020 · 10,683 accessesView PDFCite
Research ArticleOpen accessIn the keywordsUniform Twister Plane GeneratorAleksei F. Deon, Yulian A. MenyaevRandom plane generators may use various types of the random number algorithms to create multidimensional planes. At the same time, the discrete Descartes random planes have to be uniform. The matter is that using the concept of the uncontrolled random generation may lead to a result of weak quality due to initial sequences having either insufficient uniformity or skipping of … …Journal of Computer Science, Vol. 14, Issue 2 · 26 Feb 2018 · 11,514 accessesView PDFCite