Short description:

The second edition of Reverse Engineering of Algebraic Inequalities is a comprehensively updated new edition demonstrating the exploration of new physical realities and creation of new knowledge in various unrelated domains of human activity through reverse engineering of algebraic inequalities.

Long description:

The second edition of Reverse Engineering of Algebraic Inequalities is a comprehensively updated new edition demonstrating the exploration of new physical realities in various unrelated domains of human activity through reverse engineering of algebraic inequalities.

This book introduces a groundbreaking method for generating new knowledge in science and technology that relies on reverse engineering of algebraic inequalities. By using this knowledge, the purpose is to optimize systems and processes in diverse fields such as mechanical engineering, structural engineering, physics, electrical engineering, reliability engineering, risk management and economics. This book will provide the reader with methods to enhance the reliability of systems in total absence of knowledge about the reliabilities of the components building the systems; to develop light-weight structures with very big materials savings; to develop structures with very big load-bearing capacity; to enhance process performance and decision-making; to obtain new useful physical properties; and to correct serious flaws in the current practice for predicting system reliability.

This book will greatly benefit professionals and mathematical modelling researchers working on optimising processes and systems in diverse disciplines. It will also benefit undergraduate students introduced to mathematical modelling, post-graduate students and post-doctoral researchers working in the area of mathematical modelling, mechanical engineering, reliability engineering, structural engineering, risk management, and engineering design.

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Table of Contents:

1. Fundamental Approaches in Modelling Real Systems and Processes by Using Algebraic Inequalities: The Principle of Consistency for Algebraic Inequalities 2. Basic Algebraic Inequalities Used in Reverse Engineering and Their Properties 3. Obtaining New Physical Properties by Reverse Engineering of Algebraic Inequalities 4. Light-Weight Designs and Improving the Load-Bearing Capacity of Structures by Reverse Engineering of Algebraic Inequalities 5. Reliability-Related Reverse Engineering of Algebraic Inequalities 6. Enhancing the Reliability of Series-Parallel Systems with Multiple Redundancies by Reverse Engineering of Algebraic Inequalities 7. Reverse Engineering of Algebraic Inequalities to Disprove System Reliability Predictions Based on Average Component Reliabilities 8. Reverse Engineering of the Inequality of Additive Ratios 9. Optimal  Selection and Expected Time of Unsatisfied Demand by Reverse Engineering of Algebraic Inequalities 10. Enhancing Systems and Process Performance by Reverse Engineering of Algebraic Inequalities Based on Sub-Additive and Super-Additive Functions 11. Enhancing Decision-Making by Reverse Engineering of Algebraic Inequalities 12. Generating New Knowledge by Reverse Engineering of Algebraic Inequalities in Terms of Potential Energy