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Intersection of main james abacus diagram for the outer chain movement with length [1,0,0⋯]
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نویسنده
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mohommed e.f. ,ahmad n. ,ibrahim h.
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منبع
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journal of telecommunication, electronic and computer engineering - 2016 - دوره : 8 - شماره : 8 - صفحه:51 -56
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چکیده
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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 atco 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 atco. finally intersection of the main new diagrams atco is obtained. some theoretical results for intersection of main james diagram are established. in addition,several examples are given to illustrate the results.
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کلیدواژه
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Beta number; James abacus; Partition
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آدرس
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school of quantitative sciences,college of arts and sciences,universiti utara malaysia,sintok,kedah, Malaysia, school of quantitative sciences,college of arts and sciences,universiti utara malaysia,sintok,kedah, Malaysia, department of mathematics,college of science,university of bahrain,p.o. box 32038, Bahrain
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Authors
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