Mathematical derivation of error-prone, is not practical

In the design of the relay - contactor control circuit frequently encountered when multiple occurrences of the same label contacts phenomenon, and cost savings in order to simplify the circuit design must be simplified for contacts. In the relay - contactor control circuit contacts simplification, the specific methods are logical expressions simplification and experience Simplification, the former requires the designer has a  air circuit breaker  derivation ability, when the control circuit is more complex, due to the logical expression too cumbersome and error-prone process of mathematical deduction, is not practical; latter mainly depends on the designer's electrical controls design experience, the results are often not the most  circuit breakers  circuits. Therefore, to find a theory is relatively simple, uncomplicated application simplification tool for relay - contactor control circuit design is important. I will be commonly used in electronic circuit simplification Karnaugh map used in the relay - contactor control circuit contacts simplification to study the Karnaugh map in the relay - contactor control circuit contacts simplification of the application.