Optimal quantification and symmetry / Shizuhiko Nishisato.
Nishisato, Shizuhiko, 1935-
2022
QA9.35
Available Online

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Title Optimal quantification and symmetry / Shizuhiko Nishisato.
Author Nishisato, Shizuhiko, 1935-
ISBN 9789811691706 (electronic bk.)
9811691703 (electronic bk.)
981169169X
9789811691690
DOI https://doi.org/10.1007/978-981-16-9170-6
Publication Details Singapore : Springer, 2022.
Language English
Description 1 online resource (199 pages)
Item Number 10.1007/978-981-16-9170-6 doi
Call Number QA9.35
Dewey Decimal Classification 511.3
Summary 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 lifefor 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 Hirschfelds simultaneous linear regressions, but spatial symmetry has not been discussed before, except for what one may infer from Nishisatos 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 9, 2022).
Series Behaviormetrics ; v. 12.
Available in Other Form Optimal Quantification and Symmetry.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Optimality and Symmetry
Examples of Quantification
Constraints on Quantification
Quantification Procedures
Mathematical Symmetry
Data Format and Information
Space Theory and Symmetry.

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