Equation Failure With Multiple Variables
I'm not exactly sure how to ask this but, if you had an equation with one constant (or single field of constants let's say, like all real numbers), and then 8 variables available that could have relationships (+,-,ร,รท,^,etc.) and values (within the field of numbers) assigned in various ways (all possible ways), is there a way to calculate how many total ways/times this equation would produce an invalid result? If there were a single variable available then I think that this would only happen with X/0 for all values of X, and when taking the constant being used and dividing by X, if X=0 (infinity plus one failures for each constant, essentially). Two variable failures would include 0+X/Y for all values of X if Y is zero, as an example, but for a single constant there would be many more ways to force an invalid result for the equation with two variables than there were with one. I imagine that the number of these "nodes," as I'm picturing the failure points, and the...