Bailon-Moreno, R; Jurado-Alameda, E; Ruiz-Banos, R; Courtial, JP "The unified scientometric model. Fractality and transfractality " SCIENTOMETRICS 63 (2). APR 2005. p.231-257

[Eugene Garfield]

TITLE:          The unified scientometric model. Fractality and
                transfractality (Article, English)

AUTHOR:         Bailon-Moreno, R; Jurado-Alameda, E; Ruiz-Banos, R;
                Courtial, JP

SOURCE:         SCIENTOMETRICS 63 (2). APR 2005. p.231-257 SPRINGER,
                DORDRECHT

ABSTRACT:
A unified scientometric model has been developed on the
basis of seven principles: the actor-network principle, the translation
principle, the spatial principle, the quantativity principle, the
composition principle, the centre-periphery or nucleation principle, and
the unified principle of cumulative advantages. The paradigm of the fractal
model has been expanded by introducing the concept of fractality index and
transfractality. In this work, as the first demonstration of the power of
the model proposed, all the bibliometric laws known and all their
mathematical expressions are deduced, both the structural distributions
(Zipf, Bradford and Lotka) as well as the Price's Law of the exponential
growth of science and Brookes' and Avramescu's Laws of ageing.

AUTHOR ADDRESS: R Bailon-Moreno, Univ Granada, Fac Ciencias, Dept Ingn
                Quim, Campus Fuentenueva, Granada 18701, Spain

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