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Schubert cells and Whittaker functionals for GL ( r , R ) part I: Combinatorics. [PDF]
Kim D.
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Enhancing symbolic image classification through Gaussian copulas and optimized distinguishing points. [PDF]
Winarni S +9 more
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When seasonal structure dominates: rethinking causal attribution in environmental epidemiology. [PDF]
Häggström Gunfridsson E.
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A NOTE ON THE PARTITION FUNCTION
Universal Journal of Mathematics and Mathematical Sciences, 2020Summary: The purpose of this note is to establish an identity of the partition function. Theorem. Let \(p(n)\) be the partition function, and suppose \(d(n, a_k)\) is the number of partitions where \(a_k\) appears at least one time, then \(d(n, a_k) = p(n - a_k)\).
Phúc, Đặng Võ, Nawaz, Shahid
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The partition functions of methanol
Journal of Molecular Spectroscopy, 1990Presentation d'une methode pour le calcul de fonctions de partition du methanol, basee sur une formulation extremement simplifiee et neanmoins ...
M. Dang Nhu +2 more
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ON THE PARITY OF PARTITION FUNCTIONS
International Journal of Mathematics, 2003Let S denote a subset of the positive integers, and let pS(n) be the associated partition function, that is, pS(n) denotes the number of partitions of the positive integer n into parts taken from S. Thus, if S is the set of positive integers, then pS(n) is the ordinary partition function p(n).
Berndt, Bruce C. +2 more
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CRANK 0 PARTITIONS AND THE PARITY OF THE PARTITION FUNCTION
International Journal of Number Theory, 2011A well-known problem regarding the integer partition function p(n) is the parity problem, how often is p(n) even or odd? Motivated by this problem, we obtain the following results: (1) A generating function for the number of crank 0 partitions of n. (2) An involution on the crank 0 partitions whose fixed points are called invariant partitions.
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Partition function from the Green function
Journal of Physics A: Mathematical and General, 1984The partition function in quantum statistical mechanics can be expressed as an energy integral of exp(- beta E) times the discontinuity of the Green function. A Monte Carlo approach for its evaluation which is not based on path integral representation is suggested. The fermion problem is avoided in the sense that all integrands are positive.
Avishai, Y., Richert, J.
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