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Dimensional analysis simplifies complex physical problems and guides experimental investigations, but it does not provide complete solutions. It identifies the dimensionless groups that influence a phenomenon, but experimental data is needed to establish the specific relationships and validate theoretical predictions.
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Related Experiment Video

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Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
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Recovering Zipf's law in intercontinental scientific cooperation.

Malgorzata J Krawczyk1, Krzysztof Malarz1

  • 1Faculty of Physics and Applied Computer Science, AGH University, al. Mickiewicza 30, 30-059 Kraków, Poland.

Chaos (Woodbury, N.Y.)
|November 7, 2023
PubMed
Summary

Intercontinental scientific collaboration patterns were analyzed using publication data. Findings reveal Zipf

Area of Science:

  • Bibliometrics and Scientometrics
  • Complex Networks Analysis
  • International Scientific Cooperation

Background:

  • International scientific cooperation is well-researched.
  • Intercontinental scientific cooperation remains understudied.
  • Complex networks and their applications are a growing research area.

Purpose of the Study:

  • To investigate patterns of intercontinental scientific cooperation.
  • To analyze the distribution of author affiliations across continents and countries.
  • To identify underlying mathematical laws governing these collaboration structures.

Main Methods:

  • Compilation of a large publication dataset (approx. 13.8 million papers) centered around a highly cited author in complex networks.
  • Analysis of rank-frequency distributions of sequences representing continent-country affiliations.

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  • Application of Zipf's law and Heap's law for statistical modeling.

    • Main Results:

    • The rank-frequency distribution of continent-country affiliation sequences follows Zipf's law (exponent -1.9108(15)).
    • The number of unique continent-country sequences grows with the number of analyzed papers, following Heap's law (exponent 0.527(14)).
    • This indicates predictable scaling in intercontinental scientific collaboration structures.

    Conclusions:

    • Intercontinental scientific cooperation exhibits quantifiable patterns governed by power laws.
    • Zipf's and Heap's laws provide a framework for understanding the structure of global research collaborations.
    • The findings contribute to the understanding of complex networks in a global scientific context.