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