Shizuhiko Nishisato
Optimal Quantification and Symmetry
Optimal Quantification and Symmetry
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- More about Optimal Quantification and Symmetry
This book provides a fresh perspective on quantification theory by examining it through the lens of mathematical symmetry and spatial symmetry. It clarifies the objectives of quantification theory and the demarcation of quantification space, making it easier to understand problems such as joint graphical display. Numerous numerical examples are included to illustrate the concepts.
Format: Hardback
Length: 195 pages
Publication date: 22 February 2022
Publisher: Springer Verlag, Singapore
This book presents a novel and groundbreaking perspective on the well-known field of quantification theory, offering a fresh look at it through the lens of mathematical symmetry and spatial symmetry. Symmetry permeates various aspects of our lives, from the arts and biology to data analysis, serving as a fundamental element of beauty, equilibrium, and functional optimality. By emphasizing symmetry, this book elucidates the goals and boundaries of quantification theory, a topic that has previously gone unnoticed by researchers.
Mathematical symmetry is a well-established concept, as demonstrated by Hirschfeld's simultaneous linear regressions. However, spatial symmetry has received limited attention, with only tentative inferences drawn from Nishisato's dual scaling. The focus on symmetry in this book sheds light on the demarcation of quantification analysis, making it easier to comprehend the complexities of joint graphical display in quantification theory. This innovative framework holds the potential to propel the further advancements of quantification theory.
To enhance understanding, numerous numerical examples are provided, showcasing the intricacies of quantification theory through the lens of symmetry. This book is valuable not only for graduate students but also for researchers across diverse fields of data analysis, as it provides a comprehensive and insightful exploration of this important topic.
Weight: 489g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811691690
Edition number: 1st ed. 2022
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