Four empirical laws of bibliometrics--anomalous number, Lotka's, Zipf's, and Bradford's--together with Laplace's "law of succession" and de Solla Price's cumulative advantage distribution are shown to be almost identical. A simple model shows that the frequency forms conform with inverse square law over appropriate interval. (Fifteen…

It is shown that there is no ambiguity in Bradford's theory of distribution. Starting with two basic postulates laid down by Bradford, a mathematical expression is derived such that its curve agrees with the experimentally plotted data for periodicals in fields of applied geophysics and lubrication. Five references are listed. (Author/EJS)

After discussion of the equivalency of the information laws of Bradford, Leimkuhler, Lotka, and Mandelbrot, aberrations from Leimkuhler's law (including "Groos droop" as encountered in practice) are studied. Other aberrations of Leimkuhler's law are explained, starting from generalization of verbal formulation of Bradford's Law. (18…

Defines relationship between user profile and user query in terms of relationship between clusters of documents retrieved by each, and explores the expression of cluster similarity and cluster overlap as linear functions of similarity existing between original pairs of profiles and queries, given the desired retrieval threshold. (23 references)…

Introduces Q-analysis, a methodology for investigating a wide range of structural phenomena that defines structures in terms of relations between members of sets and reveals their salient features by using techniques of algebraic topology. Applications relevant to librarianship and information science are reviewed and present limitations…