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

of partition functions can be defined for different circumstances; see partition function (mathematics) for generalizations. The partition function has...

of a molecule Partition function (quantum field theory), partition function for quantum path integrals Partition function (mathematics), generalization...

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)...

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

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...

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

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

Generally, a partition is a division of a whole into non-overlapping parts. Among the kinds of partitions considered in mathematics are partition of a set...

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

utility function is also possible. Weak orderings are counted by the ordered Bell numbers. They are used in computer science as part of partition refinement...

of unity, of a topological space Plane partition, in mathematics and especially combinatorics Graph partition, the reduction of a graph to a smaller graph...

treated separately. Effective action Green's function (many-body theory) Partition function (mathematics) Source field The − i {\displaystyle -i} factor...

In mathematics, a partition of a set is a grouping of its elements into non-empty subsets, in such a way that every element is included in exactly one...

transformation group (and an automorphism group) because function composition preserves the partitioning of A . ◼ {\displaystyle A.\blacksquare } Wallace, D...

In mathematics, Landau's function g(n), named after Edmund Landau, is defined for every natural number n to be the largest order of an element of the symmetric...

In mathematics, a rigid collection C of mathematical objects (for instance sets or functions) is one in which every c ∈ C is uniquely determined by less...

In mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose...

In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some...

variance Negative probability Gibbs state Master equation Partition function (mathematics) Quantum probability Percolation theory Schramm–Loewner evolution...

In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces...

latter. Let f be a real-valued function defined on the interval [a, b]. The Riemann sum of f with respect to a tagged partition P(x, t) of [a, b] is ∑ i =...

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

In mathematics, a surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's...

continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes...

such a tagged partition is the width of the largest sub-interval formed by the partition, maxi=1...n Δi. The Riemann integral of a function f over the interval...

Floor and ceiling functions In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer...

In combinatorial mathematics, the Bell numbers count the possible partitions of a set. These numbers have been studied by mathematicians since the 19th...

In mathematics and theoretical physics, zeta function regularization is a type of regularization or summability method that assigns finite values to divergent...

In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that...