Formulated New Identities of Fibonacci Numbers with James Abacus Diagram

This paper focuses on developing a strategy to represent a new Fibonacci identity using James abacus. The idea of a Graphical chain with respect to the beta numbers and abacus was established to count the number of ways to tile a James diagram chain inscribed infinite grid. Then, the idea of chain a...

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Autor principal:	Eman F. Mohommed
Formato:	article
Lenguaje:	EN
Publicado:	Tamkang University Press 2021
Materias:	james abacus beta number fibonacci number tile chain Engineering (General). Civil engineering (General) TA1-2040 Chemical engineering TP155-156 Physics QC1-999
Acceso en línea:	https://doaj.org/article/74fbef3e92bc42148ddd94d89e994767
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spelling	oai:doaj.org-article:74fbef3e92bc42148ddd94d89e9947672021-11-23T14:42:24ZFormulated New Identities of Fibonacci Numbers with James Abacus Diagram10.6180/jase.202202_25(1).00172708-99672708-9975https://doaj.org/article/74fbef3e92bc42148ddd94d89e9947672021-11-01T00:00:00Zhttp://jase.tku.edu.tw/articles/jase-202202-25-1-0017https://doaj.org/toc/2708-9967https://doaj.org/toc/2708-9975This paper focuses on developing a strategy to represent a new Fibonacci identity using James abacus. The idea of a Graphical chain with respect to the beta numbers and abacus was established to count the number of ways to tile a James diagram chain inscribed infinite grid. Then, the idea of chain abacus and beta numbers were used to find new identities of Fibonacci numbers.Eman F. MohommedTamkang University Pressarticlejames abacusbeta numberfibonacci numbertilechainEngineering (General). Civil engineering (General)TA1-2040Chemical engineeringTP155-156PhysicsQC1-999ENJournal of Applied Science and Engineering, Vol 25, Iss 1, Pp 165-171 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	james abacus beta number fibonacci number tile chain Engineering (General). Civil engineering (General) TA1-2040 Chemical engineering TP155-156 Physics QC1-999
spellingShingle	james abacus beta number fibonacci number tile chain Engineering (General). Civil engineering (General) TA1-2040 Chemical engineering TP155-156 Physics QC1-999 Eman F. Mohommed Formulated New Identities of Fibonacci Numbers with James Abacus Diagram
description	This paper focuses on developing a strategy to represent a new Fibonacci identity using James abacus. The idea of a Graphical chain with respect to the beta numbers and abacus was established to count the number of ways to tile a James diagram chain inscribed infinite grid. Then, the idea of chain abacus and beta numbers were used to find new identities of Fibonacci numbers.
format	article
author	Eman F. Mohommed
author_facet	Eman F. Mohommed
author_sort	Eman F. Mohommed
title	Formulated New Identities of Fibonacci Numbers with James Abacus Diagram
title_short	Formulated New Identities of Fibonacci Numbers with James Abacus Diagram
title_full	Formulated New Identities of Fibonacci Numbers with James Abacus Diagram
title_fullStr	Formulated New Identities of Fibonacci Numbers with James Abacus Diagram
title_full_unstemmed	Formulated New Identities of Fibonacci Numbers with James Abacus Diagram
title_sort	formulated new identities of fibonacci numbers with james abacus diagram
publisher	Tamkang University Press
publishDate	2021
url	https://doaj.org/article/74fbef3e92bc42148ddd94d89e994767
work_keys_str_mv	AT emanfmohommed formulatednewidentitiesoffibonaccinumberswithjamesabacusdiagram
_version_	1718416709397774336

Formulated New Identities of Fibonacci Numbers with James Abacus Diagram

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