Let k be a positive integer. In number theory, Jordan's totient function of a positive integer n is the number of k-tuples of positive integers all less than or equal to n that form a coprime (k + 1)-tuple together with n. This is a generalisation of Euler's totient function, which is J1. The function is named after Camille Jordan.
Read more about Jordan's Totient Function: Definition, Properties, Order of Matrix Groups, Examples
Famous quotes containing the words jordan and/or function:
“Let me just say, at once: I am not now nor have I ever been a white man. And, leaving aside the joys of unearned privilege, this leaves me feeling pretty good ...”
—June Jordan (b. 1936)
“As a medium of exchange,... worrying regulates intimacy, and it is often an appropriate response to ordinary demands that begin to feel excessive. But from a modernized Freudian view, worryingas a reflex response to demandnever puts the self or the objects of its interest into question, and that is precisely its function in psychic life. It domesticates self-doubt.”
—Adam Phillips, British child psychoanalyst. Worrying and Its Discontents, in On Kissing, Tickling, and Being Bored, p. 58, Harvard University Press (1993)