Here the indicator function \ mathbb { I } ( \ tau emphasizes that the penalty is exercised only when ruin occurs.
22.
While Ye developed this indicator function, Bingham and Sitter were working on clarification of resolution and aberration for robust parameter designs.
23.
The limit, where the ( smooth ) bump function approaches the indicator function, must then be put outside of the integral.
24.
In 2006, Leoppky, Bingham, and Sitter published the extended word-length pattern and indicator function for robust parameter designs.
25.
When p ( 1 \ mid x ) \ ne 0.5, which matches that of the 0 1 indicator function.
26.
It remains to assume that the integral criterion holds for indicator functions and prove that it holds for general Riemann-integrable functions as well.
27.
Even if a simple function can be written in many ways as a linear combination of indicator functions, the integral is always the same.
28.
By breaking up the function into its constant value parts, this reduces to the case in which is the indicator function of a set.
29.
The set of all indicator functions on X can be identified with \ mathcal { P } ( X ), the power set of X.
30.
The two views of automata are equivalent : the function that the automaton computes is precisely the indicator function of the set of strings it generates.
