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  2. 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.

  3. 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.

  4. Partition function (statistical mechanics) - Wikipedia

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

    The grand canonical partition function applies to a grand canonical ensemble, in which the system can exchange both heat and particles with the environment, at fixed temperature, volume, and chemical potential. Other types of partition functions can be defined for different circumstances; see partition function (mathematics) for

  5. Statistical mechanics - Wikipedia

    en.wikipedia.org/wiki/Statistical_mechanics

    In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in the fields of physics, biology, [1] chemistry, neuroscience, [2] computer science, [3] [4] information theory [5] and ...

  6. Partition coefficient - Wikipedia

    en.wikipedia.org/wiki/Partition_coefficient

    Partition coefficients can also be defined when one of the phases is solid, for instance, when one phase is a molten metal and the second is a solid metal, [6] or when both phases are solids. [7] The partitioning of a substance into a solid results in a solid solution.

  7. 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 ...

  8. 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.

  9. Isothermal–isobaric ensemble - Wikipedia

    en.wikipedia.org/wiki/Isothermal–isobaric_ensemble

    This is almost the partition function for the -ensemble, but it has units of volume, an unavoidable consequence of taking the above sum over volumes into an integral. Restoring the constant C {\displaystyle C} yields the proper result for Δ ( N , P , T ) {\displaystyle \Delta (N,P,T)} .