Circuit that takes 120VAC @ 60Hz, converts to 15VDC through a diode bridge, and applies a voltage to a device (lamp) when the two potentiometers are not equal.
This is intended to be used as a temperature controller that could be plugged into household power. One potentiometer would be a Thermistor, the other would be the set point. When the ambient drops below the set point, a heating device (shown as a lamp) turns on. When the the ambient raises above the set point a cooling device (shown as another lamp) turns on.