Results 31 to 40 of about 17,873 (292)
Integer Factorization with Compositional Distributed Representations
Neuro-Inspired Computational Elements Conference, 2022 In this paper, we present an approach to integer factorization using distributed representations formed with Vector Symbolic Architectures. The approach formulates integer factorization in a manner such that it can be solved using neural networks and potentially implemented on parallel neuromorphic hardware.
Denis Kleyko +7 more
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On the dimension of downsets of integer partitions and compositions [PDF]
Australas. J Comb., 2017 We characterize the downsets of integer partitions (ordered by containment of Ferrers diagrams) and compositions (ordered by the generalized subword order) which have finite dimension in the sense of Dushnik and Miller. In the case of partitions, while the set of all partitions has infinite dimension, we show that every proper downset of partitions has
Michael Engen, Vincent Vatter
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On two inequalities for the composition of arithmetic functions [PDF]
, 2012 A paper about two inequalities for the composition of arithmetic ...
József Sándor, Sandor, Jozsef
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Prime ideal on the end_Z (Z^n ) Ring
Al-Jabar, 2022 The set of all endomorphisms over -module is a non-empty set denoted by . From we can construct the ring of over addition and composition function. The prime ideal is an ideal which satisfies the properties like the prime numbers.
Zakaria Bani Ikhtiyar +2 more
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Composite Fermions and Integer Partitions
Journal of Combinatorial Theory, Series A, 2001 The authors prove the unimodality of integer partitions with at most \(a\) parts, all parts less than or equal to \(b\), that are required to contain either repeated or consecutive parts. The proof uses the KOH theorem [\textit{D. Zeilberger}, Am. Math. Mon. 96, No. 7, 590-602 (1989; Zbl 0726.05005)].
Arthur T. Benjamin +3 more
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Compositions of integers and Fibonacci numbers
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 In this paper, we deal with the compositions of the integers. We present the decompositions for both the composition sets and the odd composition sets of the integers. Thus the decompositions provide us to have not only an alternative proof of some well known identies but also many new identities for Fibonacci numbers and Lucas numbers.
Busra AL, Mustafa ALKAN
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Probabilistic Analysis of CarlitzCompositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2002 Using generating functions and limit theorems, we obtain a stochastic description of Carlitz compositions of large integer n (i.e. compositions two successive parts of which are different).
Guy Louchard, Helmut Prodinger
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Solving nonlinear optimization problems with bipolar fuzzy relational equation constraints
Journal of Inequalities and Applications, 2016 This paper considers the problem of minimizing a nonlinear objective function subject to a system of bipolar fuzzy relational equations with max- T L $T_{L}$ composition, where T L $T_{L}$ is the Łukasiewicz triangular norm.
Jian Zhou +3 more
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The Distribution of Run Lengths in Integer Compositions [PDF]
The Electronic Journal of Combinatorics, 2011 We find explicitly the generating function for the number of compositions of $n$ that avoid all words on a given list of forbidden subwords, in the case where the forbidden words are pairwise letter-disjoint. From this we get the gf for compositions of $n$ with no $k$ consecutive parts equal, as well as the number with $m$ parts and no consecutive $k ...
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Abstract and Applied Analysis, 2014 It is shown that for every positive integer n there exists a subnormal weighted shift on a directed tree (with or without root) whose nth power is densely defined while its (n+1)th power is not. As a consequence, for every positive integer n there exists
Piotr Budzyński +3 more
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