Volume 2, Issue 6, November 2017, Page: 130-138
Calculator on Java Using the Method of Raoelina Andriambololona
Solofonjatovo Evariste Andriamasivelo, Theoretical Physics Department, Institute National des Sciences et Techniques Nucléaires (INSTN-Madagascar), Antananarivo, Madagascar
Raoelina Andriambololona, Theoretical Physics Department, Institute National des Sciences et Techniques Nucléaires (INSTN-Madagascar), Antananarivo, Madagascar
Received: Nov. 20, 2017;       Accepted: Dec. 4, 2017;       Published: Jan. 2, 2018
DOI: 10.11648/j.mcs.20170206.16      View  2151      Downloads  102
Abstract
The method of Raoelina Andriambololona consists to apply tools from matricial calculation and linear algebra in Arithmetics. This method permits to simplify arithmetic operations and to suppress many existing inconsistencies in writing, in enunciating, and in the four basic operations of arithmetic: addition, subtraction, multiplication and division. The main objective of this article is to use this method to design a computer software using java language. We give here the kernel of the java program corresponding to the calculator, and an overview of the obtained results. This calculator displays the numbers from the left – hand side (L) to the right – hand side (R) in increasing order (i) and does all the operations in this order i.e. it performs the display and calculation in the same direction unlike current calculator in which displaying and calculation are performed in opposite directions. The result is quite consistent with the reading, the writing and all the operations in Malagasy language.
Keywords
Java, Arithmetic, Linear Algebra, Matrix Calculation
To cite this article
Solofonjatovo Evariste Andriamasivelo, Raoelina Andriambololona, Calculator on Java Using the Method of Raoelina Andriambololona, Mathematics and Computer Science. Vol. 2, No. 6, 2017, pp. 130-138. doi: 10.11648/j.mcs.20170206.16
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
Raoelina Andriambololona, “Théorie générale des numérations écrite et parlée". Bull. Acad. Malg. LXIV./1-2, Antananarivo, Madagascar, 1986.
[2]
Raoelina Andriambololona, "Théorie générale des numérations écrite et parlée. II Utilisation du calcul matriciel en arithmétique. Nouvelle proposition d’écriture, d’énoncé des règles d’addition et de multiplication des nombres.". Bull. Acad. Malg LXV/1-2, Antananarivo, Madagascar, 1987.
[3]
Raoelina Andriambololona, “Théorie générale des numérations écrite et parlée. II- Utilisation du calcul matriciel en arithmétique. Application au changement de bases de numération. Bull. Acad. Malg. LXV./1-2, Antananarivo, Madagascar ”, 1987 (1989).
[4]
Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Wilfrid Chrysante Solofoarisina. Arithmetic and Matricial Calculation. Pure and Applied Mathematics Journal. Vol. 5, No. 3, 2016, pp. 82-86. doi: 10.11648/j.pamj.20160503.14.
[5]
Raoelina Andriambololona, Hanitriarivo Rakotoson “Mpikajy elekronika sy siantifika mampiasa ny fomba fanisana Malagasy (Electronic and scientific calculator based on malagasy counting method)”, communication at the Academie Malgache, Antananarivo Madagascar, 05 June 2008.
[6]
Raoelina Andriambololona, “Algèbre linéaire et multilinéaire”, Collection LIRA, INSTN-Madagascar, Antananarivo, Madagascar, 1986.
[7]
Nirina Gilbert Rasolofoson, Raoelina Andriambololona. Design of ALU and Code Converter Using Matrix Calculation. Pure and Applied Mathematics Journal. Vol. 6, No. 3, 2017, pp. 89-100. doi: 10.11648/j.pamj.20170603.11
[8]
Claude Delannoya Programmer en Java. Édition Eyrolles - 940 pages, 9eédition, 12 juin 2014ISBN10.
[9]
Herbert Java: The Complete Schildt Reference, Ninth Edition ISBN-13: 978-0071808552 ISBN-10: 0071808558| 2014.
[10]
Herbert Schildt Java: The Complete Reference, Tenth Edition (Complete Reference Series) 10th Edition| New York: McGraw-Hill Education, 2017.| LCCN 2017036734 | ISBN-13: 978-1259589331 (paperback) ISBN-10: 1259589331.
[11]
Use of Matrix Calculation in Arithmetics and Numeration Theory for Scientific Calculator Design Raoelina Andriambololona, R. Hanitriarivo. HEP MAD’07 International Conference, Antananarivo, Madagascar, 10 -15 Septembre 2007.
[12]
H. Anton and C. Rorres. Elementary linear Algebra. Applications Version. John Wiley & Sons, Inc. New York, 2000.
[13]
D. Danielson. Vectors and Tensors in Engineer and Physics. Addison-Wesley Publishing Company, 1992.
[14]
Daniel GUIN. Algèbre: Tome 2, Anneaux, modules et algèbre multilinéaire. Enseignement sup. EDP Sciences, 2013.
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