The Remainder For Natural Numbers
If a and d are natural numbers, with d non-zero, it can be proven that there exist unique integers q and r, such that a = qd + r and 0 ≤ r < d. The number q is called the quotient, while r is called the remainder. See Euclidean division for a proof of this result and division algorithm for algorithms describing how to calculate the remainder.
Read more about this topic: Remainder
Famous quotes containing the words remainder, natural and/or numbers:
“Most personal correspondence of today consists of letters the first half of which are given over to an indexed statement of why the writer hasnt written before, followed by one paragraph of small talk, with the remainder devoted to reasons why it is imperative that the letter be brought to a close.”
—Robert Benchley (18891945)
“She had been forced into prudence in her youth, she learned romance as she grew olderthe natural sequel of an unnatural beginning.”
—Jane Austen (17751817)
“The barriers of conventionality have been raised so high, and so strangely cemented by long existence, that the only hope of overthrowing them exists in the union of numbers linked together by common opinion and effort ... the united watchword of thousands would strike at the foundation of the false system and annihilate it.”
—Mme. Ellen Louise Demorest 18241898, U.S. womens magazine editor and womans club movement pioneer. Demorests Illustrated Monthly and Mirror of Fashions, p. 203 (January 1870)