Page:Elementary Principles in Statistical Mechanics (1902).djvu/48

Rh  But since $$F$$ is a homogeneous quadratic function of the differences  we have identically  That is  whence  But if $$k$$ varies, equations (58) and (59) give

Since the factor $$C e^{-F}$$ has the constant value $$C e^{-k}$$ in the last multiple integral, we have  We may determine the constant of integration by the condition that $$R$$ vanishes with $$k$$. This gives