characteristic function

noun

, Mathematics.

1. a function defined on a given set, having value 1 for every element of the set and value 0 for every element not contained in the set.
2. characteristic polynomial.

characteristic function

noun

1. maths a function that assigns the value 1 to the members of a given set and the value 0 to its nonmembers
2. statistics a function derived from the probability distribution function that enables the distribution of the sum of given random variables to be analysed

Word History and Origins

Origin of characteristic function¹

First recorded in 1875–80

Example Sentences

This is the typical and characteristic function of organic life.

From Project Gutenberg

As we submit each characteristic function and situation of experience to our gaze, we find it has a dual aspect.

From Project Gutenberg

Now we are better prepared to recognize the characteristic function of the artist.

From Project Gutenberg

And in this we perceive the characteristic function of nerve-fibres, viz.

From Project Gutenberg