Checking Computation of Numerical Functions by the Use of Functional Equations

An intake and exhaust valve control apparatus includes a pair of valves rotatably disposed in a body mounted in association with a cylinder of an internal combustion engine. Each valve includes a through bore selectively disposed between ports in the body in fluid flow communication with the cylinder. Magnets of opposed polarity are mounted on one end of the valve. A magnetically coupled core and coil are associated with the magnets and are positioned to repel and attract certain of the magnets to rotate the valve between first and second positions when current flows in one of two directions in the coil and induces a magnetic field in the core. The coil is connected to a control module which supplies electric currents in opposed directions at predetermined times in the engine cycle to rotate the valves between fluid flow and fluid blocking positions with respect to the cylinder.