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Definitions of partition function:
  • noun:   (mathematics) generalization of the definition of a partition function in statistical mechanics
  • noun:   (number theory) function that represents the number of possible partitions of a natural number.
  • noun:   (quantum field theory) generalization of the definition of a partition function in statistical mechanics
  • noun:   (statistical mechanics) function Z[J] that is the generating function of the correlation function

(Definitions from Wiktionary)

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