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  2. Partition function (statistical mechanics) - Wikipedia

    en.wikipedia.org/wiki/Partition_function...

    The partition function is a function of the temperature T and the microstate energies E 1, E 2, E 3, etc. The microstate energies are determined by other thermodynamic variables, such as the number of particles and the volume, as well as microscopic quantities like the mass of the constituent particles.

  3. Partition function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Partition_function...

    The partition function or configuration integral, as used in probability theory, information theory and dynamical systems, is a generalization of the definition of a partition function in statistical mechanics. It is a special case of a normalizing constant in probability theory, for the Boltzmann distribution.

  4. Partition function (number theory) - Wikipedia

    en.wikipedia.org/wiki/Partition_function_(number...

    A partition in which no part occurs more than once is called strict, or is said to be a partition into distinct parts. The function q(n) gives the number of these strict partitions of the given sum n. For example, q(3) = 2 because the partitions 3 and 1 + 2 are strict, while the third partition 1 + 1 + 1 of 3 has repeated parts.

  5. Integer partition - Wikipedia

    en.wikipedia.org/wiki/Integer_partition

    The only partition of zero is the empty sum, having no parts. The order-dependent composition 1 + 3 is the same partition as 3 + 1, and the two distinct compositions 1 + 2 + 1 and 1 + 1 + 2 represent the 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 ...

  6. Partition function - Wikipedia

    en.wikipedia.org/wiki/Partition_function

    Vibrational partition function, partition function for the vibrational modes of a molecule; Partition function (quantum field theory), partition function for quantum path integrals; Partition function (mathematics), generalization of the statistical mechanics concept; Partition function (number theory), the number of possible partitions of an ...

  7. Category:Partition functions - Wikipedia

    en.wikipedia.org/wiki/Category:Partition_functions

    The partition function or configuration integral, as used in probability theory, information science and dynamical systems, is an abstraction of the definition of a partition function in statistical mechanics. In statistical mechanics, the partition function, Z, encodes the statistical properties of a system in thermodynamic equilibrium.

  8. List of partition topics - Wikipedia

    en.wikipedia.org/wiki/List_of_partition_topics

    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 or an ordered partition of a set,

  9. Category:Integer partitions - Wikipedia

    en.wikipedia.org/wiki/Category:Integer_partitions

    Partition function (number theory) Pentagonal number theorem; Plane partition; R. Rank of a partition; Representation theory of the symmetric group; Rogers ...