Page:Elementary Principles in Statistical Mechanics (1902).djvu/103

Rh But since identically the value of the corresponding expression for any index will be independent of $$\Theta$$ and the formula reduces to  we have therefore

It will be observed that when $$\psi$$ or $$\overline\epsilon$$ is given as function of $$\Theta$$, all averages of the form $$\overline{\epsilon^h}$$ or $$\overline{(\epsilon - \overline\epsilon)^h}$$ are thereby