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Titlebook: On Meaningful Scientific Laws; Jean-Claude Falmagne,Christopher Doble Book 2015 Springer-Verlag Berlin Heidelberg 2015 abstract axioms.dim

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书目名称On Meaningful Scientific Laws
编辑Jean-Claude Falmagne,Christopher Doble
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概述This book gives many examples of applications.A "how to" book, which prepares the reader to transforming the problem of finding the scientific law relevant to a phenomenon into solving a functional eq
图书封面Titlebook: On Meaningful Scientific Laws;  Jean-Claude Falmagne,Christopher Doble Book 2015 Springer-Verlag Berlin Heidelberg 2015 abstract axioms.dim
描述.The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or “Gedanken Experiments”. Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be invariant with changes of the units of their variables. This constraint makes it possible to narrow down the possible forms of the laws. It is closely related to, but different from, dimensional analysis. It is a mathematical book, largely based on solving functional equations. In fact, one chapter is an introduction to the theory of functional equations..
出版日期Book 2015
关键词abstract axioms; dimensional analysis; functional equations; invariance under transformations; mathemati
版次1
doihttps://doi.org/10.1007/978-3-662-46098-6
isbn_softcover978-3-662-51638-6
isbn_ebook978-3-662-46098-6
copyrightSpringer-Verlag Berlin Heidelberg 2015
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https://doi.org/10.1007/978-3-662-46098-6abstract axioms; dimensional analysis; functional equations; invariance under transformations; mathemati
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Abstract Axioms and their Representations,Except for the content of Section 4.7, which is relatively recent, all the results of this chapter are standard parts of the functional equation literature. Specific references are given in due place. These results provide the mathematical foundations on which the meaningfulness axiom will operate.
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Open Problems,In the vein of Theorem 7.4.1, derive the meaningful collection, satisfying the translation equation, whose initial code is
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