Sum

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 die proudly when it is no longer possible to live proudly. Death freely chosen, death at the right time, brightly and cheerfully accomplished amid children and witnesses: then a real farewell is still possible, as the one who is taking leave is still there; also a real estimate of what one has wished, drawing the sum of one’s life—all in opposition to the wretched and revolting comedy that Christianity has made of the hour of death.
    Friedrich Nietzsche (1844–1900)

    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)

    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)