The largest missing value in a composition of an integer
Discrete Mathematics, 2011 In this paper we find, asymptotically, the mean and variance for the largest missing value (part size) in a composition of an integer n. We go on to show that the probability that the largest missing value and the largest part of a composition differ by ...
Margaret Archibald, Arnold Knopfmacher
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Integer composition, connection Appell constants and Bell polynomials
Journal of Numerical Analysis and Approximation Theory, 2021 We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants. Generalizing, we give an explicit form of the connection coefficients for arbitrary polynomial sequences and ...
Nataliia Luno
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A Note on the Compositions of an Integer [PDF]
Canadian Mathematical Bulletin, 1958 Given an integer n, we define an r-composition of n as follows:An r-composition of n, (t1, ... , tr), is a set of ti where ti ≥ 1 is an integer for i = 1, ...
T. V. Narayana, G. E. Fulton
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Ω-Result for the index of composition of an integer
International Journal of Number Theory, 2018 For each integer [Formula: see text], let [Formula: see text] be the index of composition of [Formula: see text], where [Formula: see text]. The index of composition of an integer measures the multiplicity of its prime factors.
Deyu Zhang, Yankun Sui, Wenguang Zhai
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A QoS‐aware service composition approach based on semantic annotations and integer programming
International Journal of Web Information Systems, 2012 Purpose – The purpose of this paper is to propose a novel quality of service (QoS)-aware service composition approach, called SEQOIA, capable of defining at run-time a service composition plan meeting both functional and non-functional constraints and ...
Federica Paganelli
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A semantic-driven integer programming approach for QoS-aware dynamic service composition
, 2011 Service-oriented specifications aim at effectively supporting run-time service discovery, composition and brokering. QoS-aware dynamic service composition relies on algorithms that synthesize the target functional work plans, while also taking into ...
D Giuli
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The Tantawy technique for modeling fractional KdV and mKdV positron-acoustic solitary waves in an electron-positron-ion plasma with regularized $$\kappa -$$ distribution [PDF]
Scientific ReportsThis work investigates the dynamical behavior of both the integer and fractional-order positron-acoustic solitary waves (PASWs) in a collisionless, unmagnetized electron-positron-ion plasma composed of stationary positive ions, inertial cold positrons ...
Samir A. El-Tantawy +4 more
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Countable composition closedness and integer-valued continuous functions in pointfree topology [PDF]
Categories and General Algebraic Structures with Applications, 2013 For any archimedean$f$-ring $A$ with unit in whichbreak$awedge (1-a)leq 0$ for all $ain A$, the following are shown to be equivalent: 1.
Bernhard Banaschewski
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Aperiodic Compositions and Classical Integer Sequences
J. Integer Seq., 2017 In this paper we define the notion of singular composition of a positive integer. We provide a characterization of these compositions, together with methods for decomposing and also extending a singular composition in terms of other singular ...
FERRARI, MARGHERITA MARIA +1 more
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The minimum weight t-composition of an integer [PDF]
Journal of Mathematical Sciences, 2012 Let p and t, p ≥ t, be positive integers. A t-composition of p is an ordered t-tuple of positive integers summing p. If T = (s_1, s_2, . . . , s_t) is a t-composition p and W is a (p − (t − 1)) × t matrix, then W(T) = w_(s_1)+ w_(s_2)2... + w_(s_k)k is
Cardoso, D. M., Cerdeira, J. O.
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