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Summation is the addition of a set of numbers; the result is their sum or total. An interim or present total of a summation process is termed the running total. The "numbers" to be summed may be natural numbers, complex numbers, matrices, or still more complicated objects. An infinite sum is a subtle procedure known as a series. Note that the term summation has a special meaning in the context of divergent series related to extrapolation. - Wikipedia Summations are often used in the process of reducing complex equations in to smaller factors that can be more easily manipulated for operations in calculus and other mathematical methods.
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