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Scaling by Grigory Isaakovich Barenblatt

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Introduction

The term scaling is used in multiple branches of human activity: from forestry and dentistry to theoretical physics. Each time it has a different meaning, not always well defined. In the present book scaling describes a seemingly very simple situation: the existence of a power-law relationship between certain variables y and x1, …, xk,

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where A, α1, …, αk are constants. Such relations often appear in the mathematical modelling of various phenomena, not only in physics but also in biology, economics, and engineering. However, scaling laws are not merely some particularly simple cases of more general relations. They are of special and ...

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