math - Mathematical expression to check if value changed from 1 to 0 - 


a - b 0   1  - new connection 0   0  - unchanged  1   1  - unchanged 1   0  - disruption

i'm working on industrial engineering modelling/coding project. facing data processing problem sample data above in gams code.

i need mathematical way of finding 1-0 patterns(which means disruptions in model). cannot use logical statements, if, affect model , make non-linear.

i tried 

sum(i,a(i)-b(i))

it returned 0 values cancelled each other. need pure mathematical expression detect disruptions. ideas?

edit:absolute value not acceptable.

answer: after few hours of playing numbers came following: 

{ (a(i) + b(i)) - (a(i) * b(i)) - b(i) }

thanks contributions

ak - old values,
bk - new values


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