Minimal Impact One-Dimensional Arrays

In this contribution, we consider the problem of finding the minimal Euclidean distance between a given converging decreasing one-dimensional array X in (R<sup>+</sup>)<sup>∞</sup> and arrays of the form Aa=a,a,…,a, 0,0, …a times, with <i>a</i> being a natural num...

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Bibliographic Details
Main Authors: Leo Egghe, Ronald Rousseau
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/5/811
Description
Summary:In this contribution, we consider the problem of finding the minimal Euclidean distance between a given converging decreasing one-dimensional array X in (R<sup>+</sup>)<sup>∞</sup> and arrays of the form Aa=a,a,…,a, 0,0, …a times, with <i>a</i> being a natural number. We find a complete, if not always unique, solution. Our contribution illustrates how a formalism derived in the context of research evaluation and informetrics can be used to solve a purely mathematical problem.
ISSN:2227-7390