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http://hdl.handle.net/1942/31920| Title: | Minimal Impact One-Dimensional Arrays | Authors: | EGGHE, Leo ROUSSEAU, Ronald |
Issue Date: | 2020 | Publisher: | MDPI | Source: | MATHEMATICS, 8 (5) (Art N° 811) | Abstract: | In this contribution, we consider the problem of finding the minimal Euclidean distance between a given converging decreasing one-dimensional array X in (R+)(infinity) and arrays of the form A(a) = (a,a,...,a, 0,0, ... a times), with a 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. | Notes: | Rousseau, R (corresponding author), Univ Antwerp, Fac Social Sci, B-2020 Antwerp, Belgium.; Rousseau, R (corresponding author), Katholieke Univ Leuven, Dept MSI, B-3000 Leuven, Belgium.; Rousseau, R (corresponding author), Ctr R&D Monitoring ECOOM, B-3000 Leuven, Belgium. leo.egghe@uhasselt.be; ronald.rousseau@uantwerpen.be |
Other: | Rousseau, R (corresponding author), Univ Antwerp, Fac Social Sci, B-2020 Antwerp, Belgium; Katholieke Univ Leuven, Dept MSI, B-3000 Leuven, Belgium; Ctr R&D Monitoring ECOOM, B-3000 Leuven, Belgium. leo.egghe@uhasselt.be; ronald.rousseau@uantwerpen.be | Keywords: | generalized h-index;generalized g-index;minimization problem | Document URI: | http://hdl.handle.net/1942/31920 | e-ISSN: | 2227-7390 | DOI: | 10.3390/math8050811 | ISI #: | WOS:000542738100188 | Rights: | 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2021 |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| mathematics-08-00811-v2.pdf | Published version | 904.82 kB | Adobe PDF | View/Open |
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