书目名称 | Optimal Quantification and Symmetry |
编辑 | Shizuhiko Nishisato |
视频video | |
概述 | Offers another look at the time-honored quantification theory from a different point of view.Provides a more solid framework than the one currently available and thus is easier to understand.Includes |
丛书名称 | Behaviormetrics: Quantitative Approaches to Human Behavior |
图书封面 |  |
描述 | 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 opera |
出版日期 | Book 2022 |
关键词 | Quantification Analysis; Optimal Analysis of Qualitative Data; Mathematical Symmetry; Spatial Symmetry; |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-16-9170-6 |
isbn_softcover | 978-981-16-9172-0 |
isbn_ebook | 978-981-16-9170-6Series ISSN 2524-4027 Series E-ISSN 2524-4035 |
issn_series | 2524-4027 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |