| Size-frequency and rank-frequency relations, power laws and exponentials: a unified approach |
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| 引用本文： | Leo EGGHE,Ronald ROUSSEAU. Size-frequency and rank-frequency relations, power laws and exponentials: a unified approach[J]. 自然科学进展(英文版), 2003, 13(6). DOI: 10.1360/03jz9084 |
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| 作者姓名： | Leo EGGHE Ronald ROUSSEAU |
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| 作者单位： | Limburgs University Center，Diepenbeek，B-3590 Belgium，University of Antwerp，IBW，Universiteitsplein 1，B-2610 Belgium |
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| 摘 要： | Power laws, such as Zipf s law, and exponential relations, leading to straight lines in logarithmic or semi-logarithmic scales, are presented in a unified setting. It is shown that the class of size-frequency power laws is larger than the class of rank-frequency power laws. Their ubiquity in all fields of science is illustrated.
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Size-frequency and rank-frequency relations,power laws and exponentials: a unified approach |
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| Leo EGGHE,Ronald Rousseau. Size-frequency and rank-frequency relations,power laws and exponentials: a unified approach[J]. Progress in Natural Science, 2003, 13(6). DOI: 10.1360/03jz9084 |
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| Authors: | Leo EGGHE Ronald Rousseau |
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| Abstract: | Power laws, such as Zipf s law, and exponential relations, leading to straight lines in logarithmic or semi-logarithmic scales, are presented in a unified setting. It is shown that the class of size-frequency power laws is larger than the class of rank-frequency power laws. Their ubiquity in all fields of science is illustrated. |
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| Keywords: | power laws Lotka'slaw Zipf'slaw exponentials unification. |
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