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

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Jean-Claude Falmagne,Christopher Doble ein von H. G r 0 iss, H. T h a ham I mer (t) und R. W u r z e ausgearbeiteter r Entwurf fur »Planzeichen fur Flachenwidmungsplane« im August 1958 im Eigenverlag der OGLL herausgegeben werden. In diesem Entwurf wurde, den damaligen Vorstellungen entsprechend, Bestandsaufnahme und Planung zusammengefaBt und au

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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..978-3-662-51638-6978-3-662-46098-6

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ic law relevant to a phenomenon into solving a functional eq.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

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Overview, convention is that measurement units do not appear in nature. Thus, any mathematical model or law whose form would be fundamentally altered by a change of units would be a poor representation of the empirical world.

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Defining Meaningfulness, law should not be altered by changing the units of the variables. The next definition, which generalizes that used by Falmagne (2004) applies to .-codes regarded as functions of . real, ratio scale variables.

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