Multi-input FFL as a coincidence detector: A multi-input FFL is made of two coherent type-1 FFLs with inputs X1 and X2, SUM logic at Y and (X1 OR X2) AND Y logic at the output Z. Assume all parameters are equal to one. Write equations using logic input functions. The analog of the degradation/dilution rates for neuronal circuits are the relaxation time of the membrane potential. a. Show that a simultaneous brief stimulation of X1 and X2 can lead to an output, even if each input stimulated alone would not. b. Show that (a) can work even if the brief input pulses are timed with a small delay. c. Why can this circuit be called a coincidence detector for the two inputs?