partition function describes the statistical properties of a system in thermodynamic equilibrium.[citation needed] Partition functions are functions of...

The partition function or configuration integral, as used in probability theory, information theory and dynamical systems, is a generalization of the definition...

Partition function may refer to: Partition function (statistical mechanics), a function used to derive thermodynamic properties Rotational partition function...

In number theory, the partition function p(n) represents the number of possible partitions of a non-negative integer n. For instance, p(4) = 5 because...

same partition as 2 + 1 + 1. An individual summand in a partition is called a part. The number of partitions of n is given by the partition function p(n)...

The vibrational partition function traditionally refers to the component of the canonical partition function resulting from the vibrational degrees of...

rotational partition function relates the rotational degrees of freedom to the rotational part of the energy. The total canonical partition function Z {\displaystyle...

In quantum field theory, partition functions are generating functionals for correlation functions, making them key objects of study in the path integral...

gets swapped with other elements in the partition function. Therefore, the index returned in the partition function isn't necessarily where the actual pivot...

believed to be of roughly comparable difficulty. The Goldbach partition function is the function that associates to each even integer the number of ways it...

justifies calling A the log-normalizer or log-partition function. Now, the moment-generating function of T(x) is M T ( u ) ≡ E ⁡ [ exp ⁡ ( u T T ( x...

mathematics, Ramanujan's congruences are the congruences for the partition function p(n) discovered by Srinivasa Ramanujan: p ( 5 k + 4 ) ≡ 0 ( mod 5...

Partition function for Interacting RNAs (piRNA) is a parallel C++ package to compute joint and individual partition functions for two RNA sequences. From...

or charged polymer system. It can be derived by transforming the partition function from its standard many-dimensional integral representation over the...

approach to the high energy collisions first proposed by E. Fermi. The partition function of the fireballs can be written in two forms, one in terms of its...

statistical mechanics, the translational partition function, q T {\displaystyle q_{T}} is that part of the partition function resulting from the movement (translation)...

Multiplicative partition Noncrossing partition Ordered partition of a set Partition calculus Partition function (quantum field theory) Partition function (statistical...

expansions of many special functions and enumerate partition functions. In particular, we recall that the partition function p(n) is generated by the reciprocal...

is extremely similar to the partition function in statistical mechanics. Indeed, it is sometimes called a partition function, and the two are essentially...

Each Map function output is allocated to a particular reducer by the application's partition function for sharding purposes. The partition function is given...

In representation theory, a branch of mathematics, the Kostant partition function, introduced by Bertram Kostant (1958, 1959), of a root system Δ {\displaystyle...

partition function, often denoted by Z; and the factor β is called the coldness (or thermodynamic beta, or inverse temperature). The softmax function...

curves, and the partition function for the other is the logarithm of the τ-function of the KdV hierarchy. Identifying these partition functions gives Witten's...

interaction energy. This partition function is written as a function of the interaction V to emphasize that it is only a function of the interaction, and...

{\displaystyle T} and the Boltzmann constant k {\displaystyle k} , the partition function Z N ( K ≡ β J , L ≡ β J ∗ ) = ∑ { σ } exp ⁡ ( K ∑ ⟨ i j ⟩ H σ i σ...

likelihood function. In general, for a likelihood function depending on the parameter vector θ {\textstyle \mathbf {\theta } } that can be partitioned into...

invariants can be viewed as a partition function in topological quantum field theory. They are proposed to be the partition function in Gopakumar–Vafa form:...

{\displaystyle Z_{\beta }=\sum _{\sigma }e^{-\beta H(\sigma )}} is the partition function. For a function f {\displaystyle f} of the spins ("observable"), one denotes...

molecular conformations in the partition function. In this sense, the symmetry number depends upon how the partition function is formulated. For example,...

energy physics experiments. Using the entropy defined above, the partition function results are ln ⁡ [ 1 + Z q ( V o , T ) ] = V o 2 π 2 ∑ n = 1 ∞ 1 n...