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:
““What have I gained?”
“Experience,” said Holmes, laughing. “Indirectly it may be of value, you know; you have only to put it into words to gain the reputation of being excellent company for the remainder of your existence.””
—Sir Arthur Conan Doyle (1859–1930)
“Show me one thing here on earth which has begun well and not ended badly. The proudest palpitations are engulfed in a sewer, where they cease throbbing, as though having reached their natural term: this downfall constitutes the heart’s drama and the negative meaning of history.”
—E.M. Cioran (b. 1911)
“I had a feeling that out there, there were very poor people who didn’t have enough to eat. But they wore wonderfully colored rags and did musical numbers up and down the streets together.”
—Jill Robinson (b. 1936)