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partition function

partition function

Danh từ

Số nhiều: partition functions

This term is a specialized technical expression used in two distinct mathematical and scientific domains. In statistical mechanics, it serves as a normalization constant that links microscopic states to macroscopic thermodynamic properties, acting as a bridge between the quantum or classical state of a system and its observable energy.

In the field of number theory and combinatorics, the term refers to a counting function. It is used to determine the number of distinct ways to decompose an integer into a sum of other positive integers, a concept central to the study of additive number theory. Because it is a compound technical term, it is typically treated as a singular entity in academic discourse.

Ý nghĩa

Danh từpartition function

A mathematical function in statistical mechanics that encodes the statistical properties of a system in thermodynamic equilibrium, specifically the sum over all possible states of the Boltzmann factor.

The partition function is essential for calculating the free energy of the system.

Danh từpartition function

In combinatorics, a function that counts the number of ways a positive integer can be written as a sum of positive integers, regardless of order.

The partition function p(n) grows rapidly as n increases.

Last Updated: July 15, 2026•Report an Error