Dimensional Analysis in the Identification of Mathematical Models
- ISBN-10
- 981450677X
- ISBN-13
- 9789814506779
- Pages
- 204
- Language
- English
- Published
- 1990-09-12
- Publisher
- World Scientific
- Authors
- Waclaw Kasprzak, Bertold Lysik, Marek Rybaczuk
Description
This book is the first textbook with the generalization of Dimensional Analysis, specially prepared to solve problems of identification of mathematical models based on experimental data. The generalization gives the possibility of mathematical model invariant with regard to gauge group, groups of rotation and others. The resulting formalism generates the most general and tensor homogeneous form of possible functional dependence. Contents:Drobot's Dimensional Space and a Classical Theory of MeasurementsA Dimensional Analysis and the Construction of Empirical ModelsMulti-Stage Identification and the Dimensional Complex FunctionAlgorithmic Procedures in the Construction of Empirical ModelsDimensional Space Description of the ConstructionTheorem p including the Geometry of Dimensional QuantitiesAn Identification of Invariant Functions Readership: Engineers and researchers in applied sciences and technology. Keywords:Dimensional Analysis;Dimensional Space;Theory of Measurement;Dimensional Geometry;Theorem pi;Similarity;Invariant Dimensional Models;Identification of Invariant Models;Multistage Identification of Invariant Model;Complex Dimensional Function;Invariance in Relation to SO(n) and Gl(n) Goups
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Other editions
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- 1990
- 208 pages
- Paperback
- World Scientific