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:
“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)
“Without doubt God is the universal moving force, but each being is moved according to the nature that God has given it.... He directs angels, man, animals, brute matter, in sum all created things, but each according to its nature, and man having been created free, he is freely led. This rule is truly the eternal law and in it we must believe.”
—Joseph De Maistre (1753–1821)
“The ornament is a statuette, a black figure of a bird. I am prepared to pay on behalf of the figure’s rightful owner the sum of $5000 for its recovery. I am prepared to promise, to promise ... what is the phrase?—’No questions will be asked.’”
—John Huston (1906–1987)