In number theory, the arithmetic derivative, or number derivative, is a function defined for integers, based on prime factorization, by analogy with the product rule for the derivative of a function that is used in mathematical analysis.
Read more about Arithmetic Derivative: Definition, Average Order, Inequalities and Bounds, Relevance To Number Theory
Famous quotes containing the words arithmetic and/or derivative:
“Tis no extravagant arithmetic to say, that for every ten jokes,thou hast got an hundred enemies; and till thou hast gone on, and raised a swarm of wasps about thine ears, and art half stung to death by them, thou wilt never be convinced it is so.”
—Laurence Sterne (17131768)
“When we say science we can either mean any manipulation of the inventive and organizing power of the human intellect: or we can mean such an extremely different thing as the religion of science the vulgarized derivative from this pure activity manipulated by a sort of priestcraft into a great religious and political weapon.”
—Wyndham Lewis (18821957)