TY  - BOOK
AU  - Falmagne,Jean-Claude
AU  - Doble,Christopher
ED  - SpringerLink (Online service)
TI  - On Meaningful Scientific Laws
SN  - 9783662460986
AV  - QA76.9.A43 
PY  - 2015///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Computer software
KW  - Computer science
KW  - Functional equations
KW  - Science
KW  - Philosophy
KW  - Algorithm Analysis and Problem Complexity
KW  - Math Applications in Computer Science
KW  - Difference and Functional Equations
KW  - Philosophy of Science
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-662-46098-6
ER  -