| Description |
1 online resource (x, 304 pages) : illustrations (some color) |
| Series |
Studies in systems, decision and control ; volume 217 |
|
Studies in systems, decision and control ; v. 217.
|
| Contents |
Intro -- Preface -- Contents -- Applications to Arts -- Baudelaire's Ideas of Vagueness and Uniqueness in Art: Algorithm-Based Explanations -- 1 Formulation of the Problem -- 2 What Is Beauty-Birkhoff's Approach and Its Algorithm-Related Formalization -- 3 How This Explains the Need for Vagueness -- 4 Why Uniqueness: An Algorithmic Explanation -- References -- Applications to Biosciences -- Selfish Gene Theory Explains Oedipus Complex -- 1 Oedipus Complex: A Brief Reminder -- 2 Our Explanation -- References -- Applications to Education |
|
How to Teach Advanced Highly Motivated Students: Teaching Strategy of Iosif Yakovlevich Verebeichik -- 1 Introduction -- 2 How Mathematics (And Other Disciplines) is Usually Taught: A Brief Reminder -- 3 What Verebeichik Wanted and What He Therefore Did -- 4 Let Us Summarize -- Reference -- Why 70/100 Is Satisfactory? Why Five Letter Grades? Why Other Academic Conventions? -- 1 Why 70/100 Is Satisfactory? -- 2 Why 40-40-20 Proportion for Research, Teaching, and Service: First Explanation -- 3 Why 40-40-20 Proportion for Research, Teaching, and Service: Second Explanation |
|
4 Why 50-30-20 Proportion for Research Universities: Two Explanations -- 5 Why Five Letter Grades -- 6 Why Excellent Is Usually Close to 90 -- 7 How to Allocate Grades to Tests, Homeworks, etc. -- References -- Shall We Ignore All Intermediate Grades? -- 1 Formulation of the Problem -- 2 Analysis of the Problem and the Resulting Conclusion -- Reference -- Why normal infinityinfty is a Reasonable Symbol for Infinity -- 1 Formulation of the Problem -- 2 Our Explanation -- 3 Real-Life Examples of an normal infinityinfty-Like Trajectory -- References |
|
What Is 1/0 from the Practical Viewpoint: A Pedagogical Note -- 1 Formulation of the Problem -- 2 Practical Problem -- 3 Idealized Setting -- 4 Realistic Setting -- Reference -- Historical Diversity Through Base-10 Representation of Mayan Math -- 1 Introduction -- 2 Base-10 Representation -- 3 Addition -- 4 Subtraction -- 5 Multiplication -- 6 Discussion -- References -- Why Base-20, Base-40, and Base-60 Number Systems? -- 1 Formulation of the Problem -- 2 Analysis of the Problem and the Resulting Explanation -- References -- Why Chomsky Normal Form: A Pedagogical Note |
|
1 Formulation of the Problem: Why Chomsky Normal Form? -- 2 Analysis of the Problem and the Resulting Explanation -- Reference -- How to Best Write Research Papers: Basic English? Sophisticated English? -- 1 Formulation of the Problem -- 2 Towards Formulating the Problem in Precise Terms -- 3 So Which Level Is Optimal: Towards the Answer -- References -- Applications to Engineering -- How to Select Typical Objects -- 1 Formulation of the Problem -- 2 Main Idea and How We Can Implement It -- 3 Resulting Algorithm -- References |
| Summary |
This book shows, on numerous examples, how to make decisions in realistic situations when we have both uncertainty and constraints. In most these situations, the book's emphasis is on the why-question, i.e., on a theoretical explanation for empirical formulas and techniques. Such explanations are important: they help understand why these techniques work well in some cases and not so well in others, and thus, help practitioners decide whether a technique is appropriate for a given situation. Example of applications described in the book ranges from science (biosciences, geosciences, and physics) to electrical and civil engineering, education, psychology and decision making, and religionand, of course, include computer science, AI (in particular, eXplainable AI), and machine learning. The book can be recommended to researchers and students in these application areas. Many of the examples use general techniques that can be used in other application areas as well, so it is also useful for practitioners and researchers in other areas who are looking for possible theoretical explanations of empirical formulas and techniques |
| Subject |
Decision making.
|
|
Decision making -- Mathematical models.
|
|
Uncertainty.
|
|
decision making.
|
|
Decision making
|
|
Decision making -- Mathematical models
|
|
Uncertainty
|
| Form |
Electronic book
|
| Author |
Ceberio, Martine, editor.
|
|
Kreinovich, Vladik, editor.
|
| ISBN |
3031164156 |
|
9783031164156 |
|
