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Quantitative Analysis of the Interdisciplinarity of Applied Mathematics
The increasing use of mathematical techniques in scientific research leads to the interdisciplinarity of applied mathematics. This viewpoint is validated quantitatively here by statistical and network analysis on the corpus PNAS 1999–2013. A network describing the interdisciplinary relationships bet...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4564225/ https://www.ncbi.nlm.nih.gov/pubmed/26352604 http://dx.doi.org/10.1371/journal.pone.0137424 |
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author | Xie, Zheng Duan, Xiaojun Ouyang, Zhenzheng Zhang, Pengyuan |
author_facet | Xie, Zheng Duan, Xiaojun Ouyang, Zhenzheng Zhang, Pengyuan |
author_sort | Xie, Zheng |
collection | PubMed |
description | The increasing use of mathematical techniques in scientific research leads to the interdisciplinarity of applied mathematics. This viewpoint is validated quantitatively here by statistical and network analysis on the corpus PNAS 1999–2013. A network describing the interdisciplinary relationships between disciplines in a panoramic view is built based on the corpus. Specific network indicators show the hub role of applied mathematics in interdisciplinary research. The statistical analysis on the corpus content finds that algorithms, a primary topic of applied mathematics, positively correlates, increasingly co-occurs, and has an equilibrium relationship in the long-run with certain typical research paradigms and methodologies. The finding can be understood as an intrinsic cause of the interdisciplinarity of applied mathematics. |
format | Online Article Text |
id | pubmed-4564225 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-45642252015-09-17 Quantitative Analysis of the Interdisciplinarity of Applied Mathematics Xie, Zheng Duan, Xiaojun Ouyang, Zhenzheng Zhang, Pengyuan PLoS One Research Article The increasing use of mathematical techniques in scientific research leads to the interdisciplinarity of applied mathematics. This viewpoint is validated quantitatively here by statistical and network analysis on the corpus PNAS 1999–2013. A network describing the interdisciplinary relationships between disciplines in a panoramic view is built based on the corpus. Specific network indicators show the hub role of applied mathematics in interdisciplinary research. The statistical analysis on the corpus content finds that algorithms, a primary topic of applied mathematics, positively correlates, increasingly co-occurs, and has an equilibrium relationship in the long-run with certain typical research paradigms and methodologies. The finding can be understood as an intrinsic cause of the interdisciplinarity of applied mathematics. Public Library of Science 2015-09-09 /pmc/articles/PMC4564225/ /pubmed/26352604 http://dx.doi.org/10.1371/journal.pone.0137424 Text en © 2015 Xie et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited. |
spellingShingle | Research Article Xie, Zheng Duan, Xiaojun Ouyang, Zhenzheng Zhang, Pengyuan Quantitative Analysis of the Interdisciplinarity of Applied Mathematics |
title | Quantitative Analysis of the Interdisciplinarity of Applied Mathematics |
title_full | Quantitative Analysis of the Interdisciplinarity of Applied Mathematics |
title_fullStr | Quantitative Analysis of the Interdisciplinarity of Applied Mathematics |
title_full_unstemmed | Quantitative Analysis of the Interdisciplinarity of Applied Mathematics |
title_short | Quantitative Analysis of the Interdisciplinarity of Applied Mathematics |
title_sort | quantitative analysis of the interdisciplinarity of applied mathematics |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4564225/ https://www.ncbi.nlm.nih.gov/pubmed/26352604 http://dx.doi.org/10.1371/journal.pone.0137424 |
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