Read Nature’s Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering Book 2)

Nature’s Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering Book 2)

Bruce J. West

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Description: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.ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculusWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nature’s Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering Book 2). To get started finding Nature’s Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering Book 2), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3110534274

Description: 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.ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculusWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nature’s Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering Book 2). To get started finding Nature’s Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering Book 2), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Nature’s Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering Book 2)

Nature’s Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering Book 2)

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