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NTAC: Neuronal type assignment from connectivity. [PDF]
Nat CommunSchwartzman G +3 more
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RNA triplet repeats: improved algorithms for structure prediction and interactions. [PDF]
Algorithms Mol BiolBoehmer K, Berkemer SJ, Will S, Ponty Y.
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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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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 +2 more
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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 +2 more
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2010
The main purpose of this chapter is to discuss the theory of Dahmen–Micchelli describing the difference equations that are satisfied by the quasipolynomials that describe the partition function \(\mathcal{T}_X\) on the big cells. These equations allow also us to develop possible recursive algorithms.
Corrado De Concini, Claudio Procesi
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The main purpose of this chapter is to discuss the theory of Dahmen–Micchelli describing the difference equations that are satisfied by the quasipolynomials that describe the partition function \(\mathcal{T}_X\) on the big cells. These equations allow also us to develop possible recursive algorithms.
Corrado De Concini, Claudio Procesi
openaire +1 more source