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

Thirdly, The most characteristic function of the poetical faculty is analytical; it is essentially a perception, a power of discovery, analysis, and discrimination.

From Project Gutenberg

In the granting of supplies, the characteristic function of the lower chamber, the authority of the Governor was now substituted for that of Parliament.

From Project Gutenberg

See Space, Geometry, Reasoning, "Descending" movement of matter, etc. and magnitude, 215, 216 repetition the characteristic function of intellect, 164, 199, 205-16 and space, 216.

From Project Gutenberg

Chromium when alloyed with steel, has the characteristic function of opposing the disintegration and reconstruction of cementite.

From Project Gutenberg

The suspensive tone which the voice assumes at the end of the interrogation is indicative of incompleteness of thought; and indication of incompleteness is the characteristic function of all rising intervals.

From Project Gutenberg