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:
“The history of literature—take the net result of Tiraboshi, Warton, or Schlegel,—is a sum of a very few ideas, and of very few original tales,—all the rest being variation of these.”
—Ralph Waldo Emerson (1803–1882)
“The sum of the whole matter is this, that our civilization cannot survive materially unless it be redeemed spiritually.”
—Woodrow Wilson (1856–1924)
“To sum up our most serious objections in a few words, we should say that Carlyle indicates a depth—and we mean not impliedly, but distinctly—which he neglects to fathom.”
—Henry David Thoreau (1817–1862)