3 articles for “Representation of Integers”

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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 PDF Cite

Research ArticleOpen accessIn the abstractTwo New Formulas for Generating Infinite Sets of Integer Numbers as a Sum of Two and Three Signed Cubic NumbersRand Alfaris, Hailiza KamarulhailiProblem statement: Two new families are introduced for generating infinite sets of integers by the summation of two and three signed cubic numbers. Approach: These two families have reduced the number of representation of finite sets of integer as a sum of cubic numbers from four cubes to two and three signed cubes. Results: It is also shown that not … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 7,069 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAn 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 PDF Cite