A sum combines a finite or infinite sequence of terms by repeated addition. The symbol denotes summation over an index.
For positive weights , the weighted mean isIt lies between the smallest and largest ; the same result holds for integrals with a positive weight function.
The prefix sums can all be computed by the recurrence in linear time. Any contiguous sum is then , so it takes constant time after preprocessing.
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Summation is the process of adding a sequence of numbers or expressions together to obtain a total. In mathematics, it is often represented by the summation symbol, which is the Greek letter Sigma (Σ). The process can apply to finite sets of numbers, as well as infinite series. ### Key Components of Summation 1. **Symbol**: The summation symbol (Σ) is used to indicate that a sum is being calculated.