منابع مشابه
Compositions versus Cyclic Compositions
We prove that the sum of greatest common divisors of parts in all compositions of n equals the sum of lengths of all cyclic compositions of n. The proof highlights structural similarities between the set of compositions of n and the set of cyclic compositions of n. 1. Definitions and Statement A composition of the positive integer n is an ordered partition of n; that is, a vector ( ) r p p ...,...
متن کاملA General Class of Contractions: A-contractions
In this article we introduce a new class of contraction maps, called A-contractions, which includes the contractions studied by R. Bianchini, M. S. Khan, S. Reich and T. Kannen. It is shown that the class of A-contractions is proper super class of Kannan’s and Khan’s contractions. Several results due to B. Ahmad, F. U. Rehman, Z. Chuanyi, N. Shioji et al. are extended to the A-contractions. We ...
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Ketotifen is a benzocycloheptathiophene with a range of pharmacological activities. The present study was carried out to evaluate the action of ketotifen on isolated rat bladder contractions induced by KCI and acetylcholine, compared with the effects of other drugs. Ketotifen (5 µM) reduced the response to acetylcholine on rat isolated bladder without altering the maximum response and shift...
متن کاملCompositions of theta correspondences
Theta correspondence y over R is established by Howe (J. Amer. Math. Soc. 2 (1989) 535). In He (J. Funct. Anal. 199 (2003) 92), we prove that y preserves unitarity under certain restrictions, generalizing the result of Li (Invent. Math. 97 (1989) 237). The goal of this paper is to elucidate the idea of constructing unitary representation through the propagation of theta correspondences. We show...
متن کاملMatrix Compositions
In this paper we study the class of m-row matrix compositions (m-compositions, for short), i.e., m-row matrices with nonnegative integer entries in which every column has at least one non-zero element. We provide several enumerative results, various combinatorial identities, and some combinatorial interpretations. Most of these properties are an extension to matrix compositions of the combinato...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1990
ISSN: 0377-0427
DOI: 10.1016/0377-0427(90)90428-3