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:
“There are only three kinds of people: those who serve God, having found him; others who are occupied in seeking him, not having found him; while the remainder live without seeking him and without having found him. The first are reasonable and happy; the last are foolish and unhappy; those between are unhappy and unreasonable.”
—Blaise Pascal (1623–1662)
“Unto a life which I call natural I would gladly follow even a will-o’-the-wisp through bogs and sloughs unimaginable, but no moon nor firefly has shown me the causeway to it.”
—Henry David Thoreau (1817–1862)
“Out of the darkness where Philomela sat,
Her fairy numbers issued. What then ailed me?
My ears are called capacious but they failed me,
Her classics registered a little flat!
I rose, and venomously spat.”
—John Crowe Ransom (1888–1974)