Definition:Sum of Finite Set
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Definition
Let $\mathbb A$ be one of the standard number systems $\N, \Z, \Q, \R, \C$.
Let $S \subset \mathbb A$ be a finite subset.
The sum of $S$ is the summation of the identity mapping on $S$ over $S$:
- $\ds \sum S = \sum_{s \mathop \in S} s$