Question

Integrals over the Fermi–Dirac and Bose–Einstein distributions define a “poly” form of this function. The replica trick takes advantage (10[1])of the fact that this function of Z (10[1])is equal to the limit as n approaches zero of “Z-to-the-n, minus one, all over n.” The expected value of the energy is equal to the negative partial derivative of this function of Z with respect to beta. The Helmholtz free energy is equal to kT times this function of the partition function. Stirling’s formula approximates this function (-5[1])of n-factorial. The negative sum over all states of “p times this function of p” defines the Shannon entropy, while Boltzmann’s definition of entropy is equal to k times this function of the number of microstates. For 10 points, name this function, the inverse of the exponential function. ■END■ (10[1])

ANSWER: natural logarithm [or natural log or ln; accept polylogarithm]
<Physics>
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Tim MorrisonStanford AStanford B1810
Swapnil GargBerkeley ABerkeley C2610
Anuttam RamjiBerkeley BStanford C84-5
Allan LeeStanford CBerkeley B13310