Let be the set membership indicator function for feature, so that indicates presence and indicates absence of the feature in the globally optimal feature set.
32.
Where \ chi is the indicator function of A . Depending on where \ mu is declared to take values, we get two different outcomes.
33.
So one can integrate a simple function by factoring out the constants and considering the measure of the sets on which each indicator function is 1.
34.
If we consider those functions as indicator functions on sets, C ^ 0 ( f ) can be thought of as a complexity class of sets.
35.
To see that this is so, let the objective function of the optimization problem be the indicator function of the constraints pertaining to the satisficing problem.
36.
Although seemingly ill-defined, derivatives of the indicator function can formally be defined using the integrations by parts when it appears under an integral sign.
37.
Found the largest known gap between the two quantities by considering a function that is the indicator function for the property of being an isolated triangle-free graph.
38.
Such a vector then represents an element of the power set of " Q "; its just an indicator function on " Q ".
39.
At the implementation level, we define for each feature i an Indicator Function I _ i indicating whether the feature is present in the current solution or not.
40.
An indicator function of a bounded set is Riemann-integrable if and only if the set is measure-theoretically as the integral with respect to the Jordan measure.
