On a linear Diophantine problem of Frobenius.
Tripathi, Amitabha (2006)
Integers
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Tripathi, Amitabha (2006)
Integers
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Johnson, Inga, Powers, Sean, Starr, Colin, Trevelyan, Charles, Webster, Craig (2009)
Journal of Integer Sequences [electronic only]
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Sun, Zhiwei (2002)
Integers
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Okoroafor, A.Chukwuemeka (2007)
Journal of Applied Mathematics and Stochastic Analysis
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Zhang, Zhizheng, Wang, Jun (2005)
Integers
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Uchida, Yasuharu (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Michał Trybulec (2007)
Formalized Mathematics
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This article includes proofs of several facts that are supplemental to the theorems proved in [10]. Next, it builds upon that theory to extend the framework for proving facts about formal languages in general and regular expression operators in particular. In this article, two quantifiers are defined and their properties are shown: m to n occurrences (or the union of a range of powers) and optional occurrence. Although optional occurrence is a special case of the previous operator (0...
Isgur, Abraham, Rahman, Mustazee (2011)
The Electronic Journal of Combinatorics [electronic only]
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Naranjani, Lila, Mirzavaziri, Madjid (2011)
Journal of Integer Sequences [electronic only]
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Yong Ge Tian (2003)
Archivum Mathematicum
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Necessary and sufficient conditions are presented for the commutativity equalities , , , and so on to hold by using rank equalities of matrices. Some related topics are also examined.