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  3. Mathematical model building
  4. Building Models Course

Building Models Course

Colección

In this part the course is motivated. It is indicated how incorrect models appear in some books and research articles, which produce an important damage to society. This fact is illustrated with five examples that provide a first look to the problems deal with in the course. Next, the aims of the course are listed, including the detection of physical, dimensional and extreme value model inconsistencies and how to solve then. Finally, the three dimensional homogeneity rules given by Sonin are presented and discussed.

Autores Enrique Castillo
Fecha 17/09/2019 Idioma Ingles

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Contenido

Summary of Model building course

 In this course we describe how to build models in Engineering and Science. We start with the Buckingham theorem and continue with physical, probability and extreme value consistencies. We also present some examples, especially models for fatigue analysis.

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Motivation and introduction to model building

 The course is motivated by discussing some inconsistent models present in the existing literature. In particular, five examples are given, including inadequate formulas, inadequate families of distributions, incorrect extreme value models, statistical incompatible models and incorrect use of probability papers.

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