When a changeover instruction is input to video output changeover control section 108, power control section 112 turns on the power to changeover target video output section 102. If a sufficient number of such navigation signals from a first group of space vehicles having clocks in which no jump occurs are available for this purpose, and if a calculated integrity risk is acceptable, position determination is performed using those navigation signals. Also disclosed are various desirable aspects for a control system for a liquid warming device are provided. The thus constructed filter is capable of suppressing a variation in the normalized J-inverter value even if dimensional errors relative to the design specifications due to overetching or underetching involved during the manufacture. Further, even though the gate electrode is continuously turned onoff, the auxiliary electrode always maintains the same voltage between the gate electrode and the bit line. A second spindle unit adjustable about two axes is disposed on the rear side of the housing.