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DeCorte, Evan (author), de Oliveira Filho, F.M. (author), Vallentin, Frank (author)We introduce the cone of completely positive functions, a subset of the cone of positive-type functions, and use it to fully characterize maximum-density distance-avoiding sets as the optimal solutions of a convex optimization problem. As a consequence of this characterization, it is possible to reprove and improve many results concerning...journal article 2020