LEADER 03550nam 22006855 450 001 9910298964303321 005 20200630021524.0 010 $a3-662-46098-X 024 7 $a10.1007/978-3-662-46098-6 035 $a(CKB)3710000000474303 035 $a(EBL)4178851 035 $a(SSID)ssj0001584295 035 $a(PQKBManifestationID)16264436 035 $a(PQKBTitleCode)TC0001584295 035 $a(PQKBWorkID)14865270 035 $a(PQKB)10058689 035 $a(DE-He213)978-3-662-46098-6 035 $a(MiAaPQ)EBC4178851 035 $a(PPN)190515066 035 $a(EXLCZ)993710000000474303 100 $a20150910d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOn Meaningful Scientific Laws /$fby Jean-Claude Falmagne, Christopher Doble 205 $a1st ed. 2015. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015. 215 $a1 online resource (175 p.) 300 $aDescription based upon print version of record. 311 $a3-662-46097-1 320 $aIncludes bibliographical references and index. 327 $aOverview -- 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. 330 $aThe 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. 606 $aAlgorithms 606 $aComputer science?Mathematics 606 $aDifference equations 606 $aFunctional equations 606 $aPhilosophy and science 606 $aAlgorithm Analysis and Problem Complexity$3https://scigraph.springernature.com/ontologies/product-market-codes/I16021 606 $aMath Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17044 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aPhilosophy of Science$3https://scigraph.springernature.com/ontologies/product-market-codes/E34000 615 0$aAlgorithms. 615 0$aComputer science?Mathematics. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aPhilosophy and science. 615 14$aAlgorithm Analysis and Problem Complexity. 615 24$aMath Applications in Computer Science. 615 24$aDifference and Functional Equations. 615 24$aPhilosophy of Science. 676 $a004 700 $aFalmagne$b Jean-Claude$4aut$4http://id.loc.gov/vocabulary/relators/aut$0960169 702 $aDoble$b Christopher$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910298964303321 996 $aOn Meaningful Scientific Laws$92542220 997 $aUNINA