Results 21 to 30 of about 863,417 (323)
An expansion for the number of partitions of an integer [PDF]
The Ramanujan Journal, 2019 Minor typing errors were corrected, and a few words added.
Stella Brassesco, Arnaud Meyroneinc
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Enumeration of concave integer partitions
, 2004 An integer partition \lambda of n corresponds, via its Ferrers diagram, to an artinian monomial ideal I of colength n in the polynomial ring on two variables. If the partition \lambda corresponds to an integrally closed ideal we call \lambda concave.
Paulsen, Michael, Snellman, Jan
core +9 more sources
Partitioning integers in n dimensions [PDF]
The Computer Journal, 1970 Alexander Graham Bell
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Distributions of Hook lengths in integer partitions [PDF]
Proceedings of the American Mathematical Society, Series B, 2022 Motivated by the many roles that hook lengths play in mathematics, we study the distribution of the number of t t -hooks in the partitions of n n . We prove that the limiting distribution is normal with mean \[
Michael J. Griffin, K. Ono, Wei-Lun Tsai
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Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
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On additive partitions of integers [PDF]
Discrete Mathematics, 1978 Let \(U=\{u_n\}\), \(u_{n+2}=u_{n+1}+u_n\), \(n\geq 1\), \(u_1=1\), \(u_2> u_1\), be a linear recurrence sequence. It is shown that the set of positive integers can be partitioned uniquely into two disjoint subsets such that the sum of any two distinct numbers from any one set can never be in \(U\).
Paul Erdös +2 more
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Some Special Integer Partitions Generated by a Family of Functions
Trends in Computational and Applied Mathematics, 2023 In this work, inspired by Ramanujan’s fifth order Mock Theta function f1(q), we define a collection of functions and look at them as generating functions for partitions of some integer n containing at least m parts equal to each one of the numbers from
M. L. Matte
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Index of Seaweed Algebras and Integer Partitions [PDF]
Electronic Journal of Combinatorics, 2019 The index of a Lie algebra is an important algebraic invariant. In 2000, Vladimir Dergachev and Alexandre Kirillov defined seaweed subalgebras of $\mathfrak{gl}_n$ (or $\mathfrak{sl}_n$) and provided a formula for the index of a seaweed algebra using a
Seunghyun Seo, A. Yee
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Dynamics of the Picking transformation on integer partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 This paper studies a conservative transformation defined on families of finite sets. It consists in removing one element from each set and adding a new set composed of the removed elements.
Thi Ha Duong Phan, Eric Thierry
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Sequences, q-multinomial Identities, Integer Partitions with Kinds, and Generalized Galois Numbers [PDF]
PUMP journal of undergraduate research, 2019 Using sequences of finite length with positive integer entries and the inversion statistic on such sequences, a collection of binomial and multinomial identities are extended to their q-analog form via combinatorial proofs.
A. Avalos, M. Bly
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