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Intersection of main James abacus diagram for the outer chain movement with length [1, 0, 0…]


Mohommed, Eman F. and Ahmad, Nazihah and Ibrahim, Haslinda (2016) Intersection of main James abacus diagram for the outer chain movement with length [1, 0, 0…]. Journal of Telecommunication, Electronic and Computer Engineering, 8 (8). pp. 51-56. ISSN 2180-1843

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Abstract

James abacus with β- number is one of the graphical representations for any partition of a non-negative integer.James abacus can be divided into several chains which consist of outer and inner chains. In this paper, a new diagram A tco is developed by employing movement to the outer chain with length [1, 0, 0,…] on the active James abacus.Then, a consecutive new diagram of b1, b2…, be-1 can be found from active diagram A tco .Finally intersection of the main new diagrams A tco is obtained. Some theoretical results for intersection of main James diagram are established.In addition, several examples are given to illustrate the results

Item Type: Article
Uncontrolled Keywords: James Abacus; Partition; Beta Number
Subjects: Q Science > QA Mathematics
Divisions: School of Quantitative Sciences
Depositing User: Dr. Nazihah Ahmad
Date Deposited: 03 Jan 2017 03:02
Last Modified: 03 Jan 2017 03:02
URI: http://repo.uum.edu.my/id/eprint/20497

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