FIG. 7: (Color online) ˜ S$_{q}$/k$_{B}$N as functions of T and N obtained by the normal average ( D = 1, q = 1 . 2): note the logarithmic scale in the abscissa for N . FIG. 8: (Color online) The relative fluctuation of Δ U$_{q}$/U$_{q}$ as functions of q and ( ηDN ) calculated by the q average: η = 1 / 2 ( η = 1) for ideal gases (harmonic oscillators). 27