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The normalization sum, trace, or integral over statistical weights. In equilibrium ensembles its logarithm generates free energies and derivatives that yield expectation values and response coefficients.
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This is an authored directed relation from the source endpoint to the target endpoint.
The canonical partition function is the trace, sum, or phase-space integral of Boltzmann weights and normalizes the canonical distribution.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
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This is an authored directed relation from the source endpoint to the target endpoint.
For a canonical equilibrium system, the partition function canonically determines the Helmholtz free energy by .
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
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