A Theoretical Approach to the Unification of Informetric Models by Wave-Heat Equations

作者:Ye, Fred Y.*
来源:Journal of the American Society for Information Science and Technology, 2011, 62(6): 1208-1211.
DOI:10.1002/asi.21498

摘要

A simple distribution function f(x, t) = p(x + q)(-beta)e(alpha t) obeys wave and heat equations, that constructs a theoretical approach to the unification of informetric models, with which we can unify all informetric laws. While its space-type distributions deduce naturally Lotka-type laws in size approaches and Zipf-type laws in rank approaches, its time-type distributions introduce the mechanism of Price-type and Brookes-type laws.

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