The LM317 is a adjustable 3-terminal positive voltage regulator capable of supplying in excess of 1.5A over a voltage range of 1.2V to 37V. The IC chip also contains full overload protection such as current limit and thermal overload protection.
Vout =1.25(1+(R2/R1))
The 1uF capacitor is included to improve transient response. Ouput capacitors of up to 100uF are commonly used to provide improved output impedance and rejection of transients.