Sum
Summation is the operation of adding a sequence of numbers; the result is their sum or total. If numbers are added sequentially from left to right, any intermediate result is a partial sum, prefix sum, or running total of the summation. The numbers to be summed (called addends, or sometimes summands) may be integers, rational numbers, real numbers, or complex numbers. Besides numbers, other types of values can be added as well: vectors, matrices, polynomials and, in general, elements of any additive group (or even monoid). For finite sequences of such elements, summation always produces a well-defined sum (possibly by virtue of the convention for empty sums).
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Famous quotes containing the word sum:
“Looking foolish does the spirit good. The need not to look foolish is one of youth’s many burdens; as we get older we are exempted from more and more, and float upward in our heedlessness, singing Gratia Dei sum quod sum.”
—John Updike (b. 1932)
“Nor sequent centuries could hit
Orbit and sum of SHAKSPEARE’s wit.
The men who lived with him became
Poets, for the air was fame.”
—Ralph Waldo Emerson (1803–1882)
“To sum up:
1. The cosmos is a gigantic fly-wheel making 10,000 revolutions a minute.
2. Man is a sick fly taking a dizzy ride on it.
3. Religion is the theory that the wheel was designed and set spinning to give him the ride.”
—H.L. (Henry Lewis)