| 31. | In this case we must describe the partition function using an integral rather than a sum.
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| 32. | Then, with a calculation of the partition function a host of statistical quantities can be extracted.
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| 33. | The theorem can be given a unrestricted partition functions discusses this type of generating function .)
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| 34. | For instance, the partition function of a gas of " N " identical classical particles is
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| 35. | The partition function may then be written as
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| 36. | This is the partition function of " one"
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| 37. | In some cases, particularly for cyclic systems, the partition function may be written more simply as
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| 38. | The Goldbach partition functions shown here can be displayed as histograms which informatively illustrate the above equations.
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| 39. | The partition function of the system is
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| 40. | This allows, for example, the partition function to be used as a generating function for correlation functions.
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