Optimal Quantification and Symmetry

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Éditeur :

Springer


Collection :

Behaviormetrics: Quantitative Approaches to Human Behavior

Paru le : 2022-02-21

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Description
This book offers a unique new look at the familiar quantification theory from the point of view of mathematical symmetry and spatial symmetry. Symmetry exists in many aspects of our life—for instance, in the arts and biology as an ingredient of beauty and equilibrium, and more importantly, for data analysis as an indispensable representation of functional optimality. This unique focus on symmetry clarifies the objectives of quantification theory and the demarcation of quantification space, something that has never caught the attention of researchers.
Mathematical symmetry is well known, as can be inferred from Hirschfeld’s simultaneous linear regressions, but spatial symmetry has not been discussed before, except for what one may infer from Nishisato’s dual scaling. The focus on symmetry here clarifies the demarcation of quantification analysis and makes it easier to understand such a perennial problem as that of joint graphical display in quantification theory. The new framework will help advance the frontier of further developments of quantification theory. Many numerical examples are included to clarify the details of quantification theory, with a focus on symmetry as its operational principle. In this way, the book is useful not only for graduate students but also for researchers in diverse areas of data analysis.
Pages
195 pages
Collection
Behaviormetrics: Quantitative Approaches to Human Behavior
Parution
2022-02-21
Marque
Springer
EAN papier
9789811691690
EAN PDF
9789811691706

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
19
Taille du fichier
2888 Ko
Prix
122,51 €
EAN EPUB
9789811691706

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
19
Taille du fichier
11540 Ko
Prix
122,51 €