Results 71 to 80 of about 246,865 (191)
New results and conjectures on 2-partitions of multisets [PDF]
, 2017 The interplay between integer sequences and partitions has led to numerous interesting results, with implications in generating functions, integral formulae, or combinatorics.
Andrica, D. +5 more
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RESTRICTED INTEGER PARTITION FUNCTIONS
, 2014 See the abstract in the attached pdf.
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Theta Function Identities of Level 16 and Their Applications to Colored Partitions
MathematicsTheta function identities play an important role in the theory of modular forms and partitions, with Ramanujan’s q-series providing a fundamental analytical framework.
Fatemah Mofarreh +2 more
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Integer partitions into diophantine pairs
, 2017 Let n, a and b be positive integers. The pair (a; b) is called an integer partition of n into Diophantine pair if n = a+b, ab+1 is a perfect square and a > b.
Bouroubi, S +4 more
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Super magical Partitions of an Integer
Electronic Notes in Discrete Mathematics, 2003 Let n≥2 be an integer and Pn={p1,p2,…,pr} be a set of r≥2 partitions of n satisfying the following conditions: (i) in each pi the integers are all distinct, and (ii) any two distinct pi's have at most one part in common. Further, the set Pn is called a supermagical configuration of n and of order p if it satisfies ⋃rj=1pj={1,2,…,p ...
Sudarshan, S. R. +3 more
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Large Deviations for Integer Partitions
, 1998 We consider deviations from limit shape induced by uniformly distributed partitions (and strict partitions) of an integer n on the associated Young diagrams. We prove a full large deviation principle, of speed p n. The proof, based on projective limits,
Ofer Zeitouni +3 more
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Periodicity and the Index of Integer Partitions
, 2023 Seaweed subalgebras of $\mathfrak{sl}(n)$, referred to here simply as seaweed algebras, are defined by an ordered pair of compositions of $n$. The index theory of these algebras has recently been used to define statistics on integer partitions. Given a partition $\lambda$, one natural choice of such statistic, denoted here by $\ind(\lambda)$, arises ...
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Entropy, 2018 From basic principles, we review some fundamentals of entropy calculations, some of which are implicit in the literature. We mainly deal with microcanonical ensembles to effectively compare the counting of states in continuous and discrete settings. When
Paolo De Gregorio, Lamberto Rondoni
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A PAIR OF FOUR-ELEMENT HORIZONTAL GENERATING SETS OF A PARTITION LATTICE
Ural Mathematical JournalLet \(\lfloor x \rfloor\) and \(\lceil x\rceil \) denote the lower integer part and the upper integer part of a real number \(x\), respectively. Our main goal is to construct four partitions of a finite set \(A\) with \(n\geq 7\) elements such that each ...
Gábor Czédli
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Additive Integer Partitions in R
, 2014 This paper introduces the partitions package of R routines, for numerical calculation of integer partititions. Functionality for unrestricted partitions, unequal partitions, and restricted partitions is provided in a small package that accompanies this ...
Robin K. S. Hankin
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