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

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

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...

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

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)...

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

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...

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

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

Look up partition in Wiktionary, the free dictionary. Partition may refer to: Partition (1987 film), directed by Ken McMullen Partition (2007 film), directed...

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

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

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

(10 rows) The PARTITION BY clause groups rows into partitions, and the function is applied to each partition separately. If the PARTITION BY clause is...

justifies calling A the log-normalizer or log-partition function. Now, the moment-generating function of T(x) is M T ( u ) ≡ E [ e u ⊤ T ( x ) ∣ η ]...

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

{\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...

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

the partition functions are constants with respect to taking averages and that the free energy is proportional to minus the logarithm of the partition function...

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

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...

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

mathematics, a partition of unity of a topological space ⁠ X {\displaystyle X} ⁠ is a set ⁠ R {\displaystyle R} ⁠ of continuous functions from ⁠ X {\displaystyle...

Tau functions also appear as matrix model partition functions in the spectral theory of random matrices, and may also serve as generating functions, in...

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...

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

piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned into...

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

{\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...