31. The asymptotic equipartition property essentially states that this peak is infinitely sharp, with infinite fall-off on either side. 32. Fluctuate wildly, but the equipartition theorem allows its " average " energy to be calculated at any temperature. 33. This particular proof of achievability follows the style of proofs that make use of the asymptotic equipartition property ( AEP ). 34. The equipartition of kT / 2 requires that the degree of freedom appears only as a quadratic term in the energy. 35. The entropy rate can be thought of as a general property of stochastic sources; this is the asymptotic equipartition property. 36. All of the diatomics examined have heat capacities that are lower than those predicted by the equipartition theorem, except Br 2. 37. B to the heat capacity by the equipartition theorem, where " N " e is the number of electrons. 38. :: * The references in the History section do describe how the equipartition theorem was derived and by whom, right? 39. The velocity data was used to verify the Maxwell-Boltzmann velocity distribution, and the equipartition theorem for a Brownian particle. 40. From there equipartition theorem calls for it's redistribution . talk ) 11 : 37, 6 April 2012 ( UTC)