Partition function (mathematics): Difference between revisions

Content deleted Content added
Adding local short description: "Generalization of the concept from statistical mechanics", overriding Wikidata description "which generalizes its use in statistical mechanics and quantum field theory"
Expectation values: Corrected misused terminology from measure theory
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The above notation ismakes strictly correctsense for a finite number of discrete random variables,. butIn shouldmore be seen to be somewhat 'informal' for continuous variables;general properlysettings, the summations above should be replaced with theintegrals notations of the underlying [[sigma algebra]] used to defineover a [[probability space]]. That said, the identities continue to hold, when properly formulated on a [[measure space]].
 
Thus, for example, the [[entropy (general concept)|entropy]] is given by