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A common generalization of infinite sum, unordered sum and integral

Published 2 Sep 2021 in math.GM | (2109.02423v3)

Abstract: We present a common ground for infinite sums, unordered sums, Riemann/Lebesgue integrals, arc length and some generalized means. It is based on extending functions on finite sets using Hausdorff metric in a natural way.

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