A combinational computing apparatus and method. The training sequence 101 is formed of K sequences 100-1 to 100-K serially connected, each formed of the same N symbols. The plate has a plurality of adjustment members thereon. Mounting the slider device on the recloseable closure mechanism and contacting inoperably mounted slider devices with a surface to operably position the slider device on the recloseable closure mechanism. The valve operates between two modes: a stationary mode and a valve movement mode. An optical axis of the condenser lens system, a central axis of a light emitting end of the first optical fiber system, and a central axis of a light receiving end of the second optical fiber system are positioned so a straight line which passes through two axes does not pass through a remaining axis.