03550nam 22006855 450 991029896430332120200630021524.03-662-46098-X10.1007/978-3-662-46098-6(CKB)3710000000474303(EBL)4178851(SSID)ssj0001584295(PQKBManifestationID)16264436(PQKBTitleCode)TC0001584295(PQKBWorkID)14865270(PQKB)10058689(DE-He213)978-3-662-46098-6(MiAaPQ)EBC4178851(PPN)190515066(EXLCZ)99371000000047430320150910d2015 u| 0engur|n|---|||||txtccrOn Meaningful Scientific Laws /by Jean-Claude Falmagne, Christopher Doble1st ed. 2015.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2015.1 online resource (175 p.)Description based upon print version of record.3-662-46097-1 Includes bibliographical references and index.Overview -- Extensive Measurement -- Functional Equations -- Abstract Axioms and their Representations -- Defining Meaningfulness -- Meaningfullness and Dimensional Invariance -- Propagating Axioms via Meaningfulness -- Meaningful Representation of Scientific Codes -- Order Invariance under Transformations -- Open Problems -- Bibliography -- Index.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.AlgorithmsComputer science—MathematicsDifference equationsFunctional equationsPhilosophy and scienceAlgorithm Analysis and Problem Complexityhttps://scigraph.springernature.com/ontologies/product-market-codes/I16021Math Applications in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/I17044Difference and Functional Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12031Philosophy of Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/E34000Algorithms.Computer science—Mathematics.Difference equations.Functional equations.Philosophy and science.Algorithm Analysis and Problem Complexity.Math Applications in Computer Science.Difference and Functional Equations.Philosophy of Science.004Falmagne Jean-Claudeauthttp://id.loc.gov/vocabulary/relators/aut960169Doble Christopherauthttp://id.loc.gov/vocabulary/relators/autBOOK9910298964303321On Meaningful Scientific Laws2542220UNINA