\magnification=\magstep2

$$
{\rm speed\ of\ wave\ } \quad = \quad ({\rm frequency }) ({\rm wavelength})
$$

$$
\eqalign{
v_s \quad &= \quad f \lambda \cr
c \quad &= \quad f \lambda \cr
}
$$

$$
f \quad = \quad   { {1}\over{T} }
$$

$$
T \quad = \quad  { {1} \over {f} }
$$

$$
{(\Delta t)}_{\rm car} \quad = \quad {{1}\over{\gamma}} \thinspace {(\Delta t)}_{\rm Fred} 
$$

$$
{T}_{\rm car} \quad = \quad {{1}\over{\gamma}} \thinspace {T}_{\rm Fred} 
$$

$$
{f}_{\rm car} \quad = \quad {\gamma} \thinspace {f}_{\rm Fred} 
$$

$$
{f}_{\rm obs} \quad = \quad {f}_{\rm source} \thinspace 
             {{\sqrt{1 - (v/c)}}\over{\sqrt{1 + (v/c)}}}
$$


\bye
