characteristic function

Noun

Meaning

(mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set.

(mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable

Source: en.wiktionary.org

Synonyms

indicator function

Examples

A real number is computable if and only if the set of natural numbers it represents (when written in binary and viewed as a characteristic function) is computable. Source: Internet

Every decision problem can be converted into the function problem of computing the characteristic function of the set associated to the decision problem. Source: Internet

As long as these states form a representative sample of the whole set of states of the system, the approximate characteristic function is obtained. Source: Internet

For example, a well-known approach to represent a multiple-output Boolean function is to treat its output part as a single many-valued variable and convert it to a single-output characteristic function. Source: Internet

Formally, a characteristic function is seen as: (N,v), where N represents the group of people and is a normal utility. Source: Internet

However, to state this more precisely, an appropriate scaling factor needs to be applied to the argument of the characteristic function. Source: Internet

Close letter words and terms

characteristic effect characteristic equation characteristic feature characteristic function form characteristic granule characteristic impedance