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A social network graph partitioning algorithm based on double deep Q-Network. [PDF]

Sci Rep
Cao J, Wang H, Jiao J, Hu K, Qi P.
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Asymmetry in Hydrophobicity Induces Electric Potential in Non-Charged Biomolecular Condensates. [PDF]

Adv Sci (Weinh)
Yang L, Yu W, Zeng X, Dai Y.
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A NOTE ON THE PARTITION FUNCTION

Universal Journal of Mathematics and Mathematical Sciences, 2020
Summary: 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, 1990
Presentation d'une methode pour le calcul de fonctions de partition du methanol, basee sur une formulation extremement simplifiee et neanmoins ...
M. Dang Nhu, ALLEGRINI, MARIA, MORUZZI, GIOVANNI   +2 more
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ON THE PARITY OF PARTITION FUNCTIONS

International Journal of Mathematics, 2003
Let 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., Yee, Ae Ja, Zaharescu, Alexandru   +2 more
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CRANK 0 PARTITIONS AND THE PARITY OF THE PARTITION FUNCTION

International Journal of Number Theory, 2011
A 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, 1984
The 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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The partition function

2016
This chapter explores the concept of a partition function introduced by the Boltzmann distribution, which is the central mathematical concept of the treatment of statistical thermodynamics. It focuses on how to interpret the partition function and how to calculate it in a number of simple cases.
Peter Atkins, Julio de Paula, David Smith   +2 more
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