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...

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

In number theory and combinatorics, a partition of a non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive...

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...

theorem Möbius function Möbius inversion formula Divisor function Liouville function Partition function (number theory) Integer partition Bell numbers Landau's...

Landau's function Partition function (number theory) Pentagonal number theorem Plane partition Quotition and partition Rank of a partition Crank of a...

partition is sometimes called a setoid, typically in type theory and proof theory. A partition of a set X is a set of non-empty subsets of X such that every...

associated partition numbers P {\displaystyle P} with all associated number partitions are listed in the following table: The generating function of the regular...

symmetry number corrects for any overcounting of equivalent molecular conformations in the partition function. In this sense, the symmetry number depends...

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

in terms of partitions. In particular, the left hand side is a generating function for the number of partitions of n into an even number of distinct parts...

In computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all...

interpolation of data, in signal processing, and the theory of spline functions. The existence of partitions of unity assumes two distinct forms: Given any...

Theory. 43: 310. 1986. Eisenkölbl, Theresia (2008). "A Schur function identity related to the (−1)-enumeration of self complementary plane partitions"...

The Möbius function μ ( n ) {\displaystyle \mu (n)} is a multiplicative function in number theory introduced by the German mathematician August Ferdinand...

problem, in number theory and computer science Integer partition, a way to write an integer as a sum of other integers Multiplicative partition, a way to...

(sequence A000110 in the OEIS). The Bell number B n {\displaystyle B_{n}} counts the different ways to partition a set that has exactly n {\displaystyle...

properties of small, finite-size systems. The theory revolves around the complex zeros of partition functions of finite-size systems and how these may reveal...

pieces has a given interesting property? This idea can be defined as partition regularity. For example, consider a complete graph of order n; that is...

than) a given one. Prime-counting function: Number of primes less than or equal to a given number. Partition function: Order-independent count of ways...

theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function...

In computer science, multiway number partitioning is the problem of partitioning a multiset of numbers into a fixed number of subsets, such that the sums...

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

In number theory, the crank of an integer partition is a certain number associated with the partition. It was first introduced without a definition by...

Hajnal, András; Máté, Attila; Rado, Richard (1984), Combinatorial set theory: partition relations for cardinals, Studies in Logic and the Foundations of Mathematics...

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 codomain, there...

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:...

In number theory and combinatorics, the rank of an integer partition is a certain number associated with the partition. In fact at least two different...

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 =...