Weak continuity and variational problems of arbitrary order

A control system for a fabric drying apparatus comprising a resistive heating element in series with high limit and cycling thermostats and connected across the two power lines of a three wire alternating current power supply. The drive motor of the timer is electrically connected between the junction of two legs of the heating circuit and the neutral wire of the power supply. The impedance of the timer drive motor is high compared to the resistance of the heating element; therefore, when the heating element is energized for drying fabrics, the current flow to the timer drive motor is negligible and the timer will not advance. When the cycling thermostat in one of the legs opens at a predetermined temperature, the heating element will be deenergized and current will flow in the other leg and neutral line and the timer will advance until the thermostat closes to reenergize the heating element.

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