\magnification=\magstep1

$$
{\vec F} \quad = \quad q \thinspace \thinspace ({\vec v} \times {\vec B})
$$

$$
N(E) \thinspace dE \quad = \quad C E^{-p} \thinspace dE 
$$

$$
{\rm Power\ } P(\nu) \quad \propto \quad \nu^{-(p - 1)/2}
$$

$$
S(\nu) \quad \propto \quad \nu^{-(p - 1)/2}
$$


$$
S(\nu) \quad = \quad K \thinspace \nu^{- \alpha}
$$


$$
E(n) \quad = \quad -13.6 {\rm \ eV} \ \ \left( {{1}\over{n^2}} \right)
$$

$$
{\rm J=N \ \rightarrow \ J=N-1} \quad \quad \nu \quad = 
                  \quad 2 N \thinspace \thinspace (57.8975 \thinspace {\rm GHz}) 
$$

$$
{\rm 21\ cm\ transition} \quad \quad \Delta E \quad = \quad 5.874 \thinspace \mu eV
$$

\bye
