Additive and Polynomial Representations
eBook - PDF

Additive and Polynomial Representations

  1. 611 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Additive and Polynomial Representations

About this book

Additive and Polynomial Representations deals with major representation theorems in which the qualitative structure is reflected as some polynomial function of one or more numerical functions defined on the basic entities. Examples are additive expressions of a single measure (such as the probability of disjoint events being the sum of their probabilities), and additive expressions of two measures (such as the logarithm of momentum being the sum of log mass and log velocity terms). The book describes the three basic procedures of fundamental measurement as the mathematical pivot, as the utilization of constructive methods, and as a series of isomorphism theorems leading to consistent numerical solutions. The text also explains the counting of units in relation to an empirical relational structure which contains a concatenation operation. The book notes some special variants which arise in connection with relativity and thermodynamics. The text cites examples from physics and psychology for which additive conjoint measurement provides a possible method of fundamental measurement. The book will greatly benefit mathematicians, econometricians, and academicians in advanced mathematics or physics.

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Information

Publisher
Academic Press
Year
2014
Print ISBN
9780124254015
eBook ISBN
9781483258300
Topic
Physical Sciences
Subtopic
Mathematics General

Table of contents

  1. Front Cover
  2. Additive and Polynomial Representations
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Summary of Contents
  7. Preface
  8. Acknowledgments
  9. Notational Conventions
  10. Chapter 1. Introduction
  11. Chapter 2. Construction of Numerical Functions
  12. Chapter 3. Extensive Measurement
  13. Chapter 4. Difference Measurement
  14. Chapter 5. Probability Representations
  15. Chapter 6. Additive Conjoint Measurement
  16. Chapter 7. Polynomial Conjoint Measurement
  17. Chapter 8. Conditional Expected Utility
  18. Chapter g Measurement Inequalities
  19. Chapter l0. Dimensional Analysis and Numerical Laws
  20. Answers and Hints to Selected Exercises
  21. References
  22. Author Index
  23. Subject Index

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Yes, you can access Additive and Polynomial Representations by David H. Krantz,R Duncan Luce,Patrick Suppes in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematics General. We have over one million books available in our catalogue for you to explore.