Function Domain

A Function Domain is a Set that a Function is defined to accept.

• AKA: Domain, Function Coverage, Coverage, Source.
• Context:
  • It can be partially defined by one or more Function Parameter.
• See: Function Range, Relation Domain, Predictive Function Coverage.

References

2009

• http://en.wikipedia.org/wiki/Domain_of_a_function
  • In mathematics, the domain (sometimes called the source) of a given function
    is the set of "input" values for which the function is defined. For instance, the domain of cosine would be all real numbers, while the domain of the square root would be only numbers greater than or equal to 0 (ignoring complex numbers in both cases). In a representation of a function in a xy Cartesian coordinate system, the domain is represented on the x axis (or abscissa).

2007

• Jerry R. Hobbs http://www.isi.edu/~hobbs/bgt-sequences.text
  • We won't use these terms formally, but we can call s1 the domain of the function and s2 the range.
    • (6) (forall (f s1 s2) (if (function0 f s1 s2)(domain s1 f)))
    • (7) (forall (f s1 s2) (if (function0 f s1 s2)(range s2 f)))

1998

• (Kohavi & Provost, 1998) => Ron Kohavi, and Foster Provost. (1998). "Glossary of Terms." In: Machine Leanring 30(2-3).
  • Coverage: The proportion of a data set for which a classifier makes a prediction. If a classifier does not classify all the instances, it may be important to know its performance on the set of cases for which it is ``confident enough to make a prediction.