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53 articles for “Multiplication”
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Research ArticleOpen accessIn the keywordsFuzzy Orders in the Real LineLemnaouar Zedam, Abdelkader StoutiProblem statement: In this study, we characterize a subcategory of fuzzy orders which were compatible with the usual addition and the multiplication by scalar on the real line R. Results and Conclusion: All possible forms of fuzzy orders of this subcategory are given. …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 23 Apr 2012 · 7,079 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Extended Laplace TransformSabra RamadanThe space of new generalized functions has been constructed. The operation of associative multiplication has been defined on this space. The Extended Laplace Transform has been defined. …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,069 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOne Algebra of New Generalized FunctionsSabra RamadanThe space of new Generalized functions ζ (Π(R)) has been constructed. The operation of associative multiplication Θ has been defined on ζ (Π(R)).The embedding Jπ : ζ(S(R))→ ζ( (R)) has been constructed. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 7,115 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 keywordsCONSTRUCTION OF GENERAL SUBSUMPTIVE SOLUTIONS OF BOOLEAN EQUATIONS VIA COMPLETE-SUM DERIVATIONAli Muhammad Ali Rushdi, Hussain Mobarak AlbarakatiBoolean-equation solving permeates many diverse areas of modern science. To solve a system of Boolean equations, one usually combines them into an equivalent single Boolean equation {f(X) = 0} whose set of solutions is exactly the same as that of the original system of equations. One of the general classes of solutions for Boolean equations is the subsumptive general solution, … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 13 Mar 2014 · 7,109 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Bit-Serial Multiplier Architecture for Finite Fields Over Galois FieldsHero Modares, Yasser Salem, Rosli Salleh, Majid Talebi ShahgoliProblem statement: A fundamental building block for digital communication is the Public-key cryptography systems. Public-Key Cryptography (PKC) systems can be used to provide secure communications over insecure channels without exchanging a secret key. Implementing Public-Key cryptography systems is a challenge for most application platforms when several factors have to be considered in selecting the implementation platform. Approach: The most popular … …Journal of Computer Science, Vol. 6, Issue 11 · 23 Oct 2010 · 8,431 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Algorithm for Digital Video EncryptionSamsul Arifin, Wihikanwijna, Tuga Mauritsus et al.This research aims to propose a safe digital video data alternative employing symmetric cryptography and an encryption technique using Partition. The Hill Cipher method requires a square key matrix with an inverse modulo the unimodular matrix is one of the unique matrices with an inverse. The encryption mechanism is modulo matrix multiplication, with shift cipher encryption employed to encrypt defective … …Journal of Computer Science, Vol. 19, Issue 7 · 19 Jun 2023 · 6,395 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Novel Exploitation of Errors in Redundant Residue Number System ArchitectureYaw AfriyieResidue Number System (RNS) is an unweighted number system that symbolizes big integers with smaller numbers. It can perform operations in particular addition and multiplication in parallel. Because of this property, RNS is extensively used in communication, Finite Impulse Response (FIR), cryptography and signal processing devices. The transfer of data in digital channels is very important for some critical applications … …American Journal of Applied Sciences, Vol. 18, Issue 1 · 30 Jun 2021 · 7,616 accessesView PDFCite
Research ArticleOpen accessIn the abstractAugmented Reality Application for Teaching Basic Operations with Fractions of the Same DenominatorHernández Pérez Andrea Ivonne, Mendoza Pérez Marco Alberto, Cruz Flores René GuadalupeIn this study, an Augmented Reality (AR) application for the teaching of basic operations with fractions of the same denominator was made. Prototype Methodology was used for its develop. In the application striking figures designs are visualized in three-Dimensional (3D), to the students’ perspective, those help to represent the explanation in the best way with the process of the basic … …Journal of Computer Science, Vol. 16, Issue 7 · 13 Jan 2021 · 7,441 accessesView PDFCite
Research ArticleOpen accessIn the abstractS-Numbers of Weighted Shift Operators on P-Summable Formal Entire Functions of M-VariablesNashat Faried, Z.A. Hassanain, H. Abd El Ghaffar, A. LokmanThe idea of multiplying a formal Taylor power series by z to make a right shift operator on the space of all square summable sequences of real numbers was due to A.L. Shield. In this work, we consider Taylor power series in m-variables and we give upper and lower estimations of s-numbers for multiplication of m- right weighted shift operators. … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 3 May 2019 · 6,922 accessesView PDFCite