Measurement Mathematics And New Quantification Theory
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Measurement Mathematics And New Quantification Theory
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Author : Shizuhiko Nishisato
language : en
Publisher: Springer Nature
Release Date : 2023-06-12
Measurement Mathematics And New Quantification Theory written by Shizuhiko Nishisato and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-12 with Mathematics categories.
The purpose of this book is to thoroughly prepare diverse areas of researchers in quantification theory. As is well known, quantification theory has attracted the attention of a countless number of researchers, some mathematically oriented and others not, but all of them are experts in their own disciplines. Quantifying non-quantitative (qualitative) data requires a variety of mathematical and statistical strategies, some of which are quite complicated. Unlike many books on quantification theory, the current book places more emphasis on preliminary requisites of mathematical tools than on details of quantification theory. As such, the book is primarily intended for readers whose specialty is outside mathematical sciences. The book was designed to offer non-mathematicians a variety of mathematical tools used in quantification theory in simple terms. Once all the preliminaries are fully discussed, quantification theory is then introduced in the last section as a simple application of those mathematical procedures fully discussed so far. The book opens up further frontiers of quantification theory as simple applications of basic mathematics.
Measurement Mathematics And New Quantification Theory
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Author : Shizuhiko Nishisato
language : en
Publisher:
Release Date : 2023
Measurement Mathematics And New Quantification Theory written by Shizuhiko Nishisato and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
The purpose of this book is to thoroughly prepare diverse areas of researchers in quantification theory. As is well known, quantification theory has attracted the attention of a countless number of researchers, some mathematically oriented and others not, but all of them are experts in their own disciplines. Quantifying non-quantitative (qualitative) data requires a variety of mathematical and statistical strategies, some of which are quite complicated. Unlike many books on quantification theory, the current book places more emphasis on preliminary requisites of mathematical tools than on details of quantification theory. As such, the book is primarily intended for readers whose specialty is outside mathematical sciences. The book was designed to offer non-mathematicians a variety of mathematical tools used in quantification theory in simple terms. Once all the preliminaries are fully discussed, quantification theory is then introduced in the last section as a simple application of those mathematical procedures fully discussed so far. The book opens up further frontiers of quantification theory as simple applications of basic mathematics.
Quality Quantification Theory
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Author : Spiro V. Haxhi
language : en
Publisher: Xlibris Corporation
Release Date : 2010-06-17
Quality Quantification Theory written by Spiro V. Haxhi and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-17 with Philosophy categories.
What is the meaning of good? The word good, embodies a concept that enables me(everybody) to differentiate everything that surrounds me in life. Good is the quantity of the concept `s quality. The word quality has not a scientific definition .Everybody interpret this word according his mind (empirically). For the set of people the concept and the word quality dos not exist. The lack of scientific definition for the quality is the reason of: The political, economical and social sciences confusion and economic crises. In this book the reader will find the definition of the basic concepts of goods like: Goodness of goods (quality of goods), good goods (quality quantity of goods),etc. And the work concepts like: The work quality, the work quantity of quality, the work change..., goodtime of the work, the work goodtime quantity. The scientific definition and measurement of these concepts is base of a conceptual revolution on theory and practice of politic, economic and social life.
Optimal Quantification And Symmetry
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Author : Shizuhiko Nishisato
language : en
Publisher: Springer Nature
Release Date : 2022-02-21
Optimal Quantification And Symmetry written by Shizuhiko Nishisato and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-21 with Mathematics categories.
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.
Measurement Quantification And Economic Analysis
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Author : Ingrid H. Rima
language : en
Publisher: Routledge
Release Date : 2002-09-11
Measurement Quantification And Economic Analysis written by Ingrid H. Rima and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Business & Economics categories.
Most economists assume that the mathematical and quantative sides of their science are relatively recent developments. Measurement, Quantification and Economic Analysis shows that this is a misconception. Its authors argue that economists have long relied on measurement and quantification as essential tools. However, problems have arisen in adapting these tools from other fields. Ultimately, the authors are sceptical about the role which measurement and quantification tools now play in contemporary economic theory.
Quantification
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Author : Harry Woolf
language : en
Publisher: Irvington Publishers
Release Date : 1961
Quantification written by Harry Woolf and has been published by Irvington Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Reference categories.
Measurement Theory And Practice
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Author : David J. Hand
language : en
Publisher: Wiley
Release Date : 2010-04-12
Measurement Theory And Practice written by David J. Hand and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-12 with Science categories.
We live in a world of measurements. Measurements, be they of length, speed, weight, temperature, intelligence, income, endurance, greed, gross domestic product, quality of life, unemployment or skill at a job, are all numerical manifestations of the extent of some underlying attribute. They reflect the reality around us – length and weight provide examples of systems that represent clear physical attributes. At the same time, measurements also define the reality around us – psychometric tests and price inflation constitute both the definitions and the procedures for measuring these concepts. Altogether, measurements are central to our modern world and our view of it. This book explores the nature of measurement, investigating its different kinds, how these kinds should be interpreted, and the legitimacy of their statistical manipulation. The procedures through which numbers are assigned to objects are described, and measurement in psychology, medicine, the physical sciences, and the social sciences are examined in detail. The ideas of measurement are so ubiquitous that we often fail to notice them; they are concealed behind a veil of familiarity. This book lifts the corner of that veil and, in doing so, shows that there are aspects of the familiar world that are occasionally puzzling, sometimes downright extraordinary, and often more intriguing than is generally believed.
Modern Quantification Theory
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Author : Shizuhiko Nishisato
language : en
Publisher: Springer
Release Date : 2021-08-27
Modern Quantification Theory written by Shizuhiko Nishisato and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-27 with Social Science categories.
This book offers a new look at well-established quantification theory for categorical data, referred to by such names as correspondence analysis, dual scaling, optimal scaling, and homogeneity analysis. These multiple identities are a consequence of its large number of properties that allow one to analyze and visualize the strength of variable association in an optimal solution. The book contains modern quantification theory for analyzing the association between two and more categorical variables in a variety of applicative frameworks. Visualization has attracted much attention over the past decades and given rise to controversial opinions. One may consider variations of plotting systems used in the construction of the classic correspondence plot, the biplot, the Carroll-Green-Schaffer scaling, or a new approach in doubled multidimensional space as presented in the book. There are even arguments for no visualization at all. The purpose of this book therefore is to shed new light on time-honored graphical procedures with critical reviews, new ideas, and future directions as alternatives. This stimulating volume is written with fresh new ideas from the traditional framework and the contemporary points of view. It thus offers readers a deep understanding of the ever-evolving nature of quantification theory and its practice. Part I starts with illustrating contingency table analysis with traditional joint graphical displays (symmetric, non-symmetric) and the CGS scaling and then explores logically correct graphs in doubled Euclidean space for both row and column variables. Part II covers a variety of mathematical approaches to the biplot strategy in graphing a data structure, providing a useful source for this modern approach to graphical display. Part II is also concerned with a number of alternative approaches to the joint graphical display such as bimodal cluster analysis and other statistical problems relevant to quantification theory.
Quantum Measurement
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Author : Paul Busch
language : en
Publisher: Springer
Release Date : 2016-08-23
Quantum Measurement written by Paul Busch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-23 with Science categories.
This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann’s classic treatise with this title. Fundamental non-classical features of quantum mechanics—indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality—are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory.
Measurement Quantification And Economic Analysis
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Author : Ingrid H. Rima
language : en
Publisher: Routledge
Release Date : 2002-09-11
Measurement Quantification And Economic Analysis written by Ingrid H. Rima and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Business & Economics categories.
Most economists assume that the mathematical and quantative sides of their science are relatively recent developments. Measurement, Quantification and Economic Analysis shows that this is a misconception. Its authors argue that economists have long relied on measurement and quantification as essential tools. However, problems have arisen in adapting these tools from other fields. Ultimately, the authors are sceptical about the role which measurement and quantification tools now play in contemporary economic theory.