Page:Elementary Principles in Statistical Mechanics (1902).djvu/130

106  whence  Now it has been proved in Chapter VII that  We have therefore  approximately. The order of magnitude of $$\overline\eta - \phi_0$$ is therefore that of $$\log n$$. This magnitude is mainly constant. The order of magnitude of $$\overline\eta + \phi_0 - \tfrac 12 \log n$$ is that of unity. The order of magnitude of $$\phi_0$$, and therefore of $$-\overline\eta$$, is that of $$n$$.

Equation (338) gives for the first approximation   The members of the last equation have the order of magnitude of $$n$$. Equation (338) gives also for the first approximation