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Books > Science & Mathematics > Mathematics > Algebra
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Nature's Patterns and the Fractional Calculus (Hardcover)
Loot Price: R3,936
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Nature's Patterns and the Fractional Calculus (Hardcover)
Series: Fractional Calculus in Applied Sciences and Engineering
Expected to ship within 12 - 19 working days
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Complexity increases with increasing system size in everything from
organisms to organizations. The nonlinear dependence of a system's
functionality on its size, by means of an allometry relation, is
argued to be a consequence of their joint dependency on complexity
(information). In turn, complexity is proven to be the source of
allometry and to provide a new kind of force entailed by a system's
information gradient. Based on first principles, the scaling
behavior of the probability density function is determined by the
exact solution to a set of fractional differential equations. The
resulting lowest order moments in system size and functionality
gives rise to the empirical allometry relations. Taking examples
from various topics in nature, the book is of interest to
researchers in applied mathematics, as well as, investigators in
the natural, social, physical and life sciences. Contents
Complexity Empirical allometry Statistics, scaling and simulation
Allometry theories Strange kinetics Fractional probability calculus
General
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