07045nam 2200565 450 991048432120332120240226153610.03-030-65324-2(CKB)4100000011801709(MiAaPQ)EBC6523366(Au-PeEL)EBL6523366(OCoLC)1243550106(PPN)254722458(EXLCZ)99410000001180170920211013d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierHow uncertainty-related ideas can provide theoretical explanation for empirical dependencies /Martine Ceberio and Vladik Kreinovich (editors)Cham, Switzerland :Springer,[2021]©20211 online resource (152 pages) illustrationsStudies in Systems, Decision and Control ;v.3063-030-65323-4 Includes bibliographical references.Intro -- Preface -- Contents -- Status Quo Bias Actually Helps Decision Makers to Take Nonlinearity into Account: An Explanation -- 1 Formulation of the Problem -- 2 Analysis of the Problem and the Resulting Explanation -- References -- A Natural Explanation for the Minimum Entropy Production Principle -- 1 Formulation of the Problem -- 2 How Complex Problems Are Solved: Reminder and Related Analysis -- 3 How This Analysis Helps Explain the Minimum Entropy Production Principle -- References -- Why Class-D Audio Amplifiers Work Well: A Theoretical Explanation -- 1 Formulation of the Problem -- 2 Why Pulses -- 3 Why the Pulse's Duration Should Linearly Depend on the Amplitude of the Input Signal -- Reference -- How Can We Explain Different Number Systems? -- 1 Formulation of the Problem -- 2 Which Bases Appear if We Consider Divisibility by All Small Numbers from 1 to Some k -- 3 What if We Can Skip One Number -- 4 What if We Can Skip Two Numbers -- 5 What if We Can Skip Three or More Numbers -- References -- Why Immediate Repetition Is Good for Short-Time Learning Results but Bad for Long-Time Learning: Explanation Based on Decision Theory -- 1 Formulation of the Problem: How to Explain Recent Observations Comparing Long-Term Results of Immediate and Delayed Repetition -- 2 Main Idea Behind Our Explanation: Using Decision Theory -- 3 So When Do We Learn: Analysis of the Problem and the Resulting Explanation -- References -- Absence of Remotely Triggered Large Earthquakes: A Geometric Explanation -- 1 Formulation of the Problem -- 2 Geometric Explanation -- References -- Why Gamma Distribution of Seismic Inter-Event Times: A Theoretical Explanation -- 1 Formulation of the Problem -- 2 Our Explanation -- References -- Quantum Computing as a Particular Case of Computing with Tensors -- 1 Why Tensors -- 2 Tensors in Physics: A Brief Reminder.3 From Tensors in Physics to Computing with Tensors -- 4 Modern Algorithm for Multiplying Large Matrices -- 5 Quantum Computing as Computing with Tensors -- 6 New Idea: Tensors to Describe Constraints -- 7 Computing with Tensors Can Also Help Physics -- 8 Remaining Open Problem -- References -- A ``Fuzzy'' Like Button Can Decrease Echo Chamber Effect -- 1 Formulation of the Problem -- 2 Proposed Solution -- References -- Intuitive Idea of Implication Versus Formal Definition: How to Define the Corresponding Degree -- 1 Formulation of the Problem -- 2 How to Define the Degree of Implication: A Seemingly Reasonable Idea and Its Limitations -- 3 Towards a New Definition of Degree of Implication -- References -- Dimension Compactification-A Possible Explanation for Superclusters and for Empirical Evidence Usually Interpreted as Dark Matter -- 1 Main Idea -- 2 Geometric Consequences of the Main Idea -- 3 Towards Physical Consequences of the Main Idea -- 4 Physical Consequences of the Main Idea -- 5 Observable Predictions of Our New Idea -- 6 Natural Open Questions -- References -- Fundamental Properties of Pair-Wise Interactions Naturally Lead to Quarks and Quark Confinement: A Theorem Motivated by Neural Universal Approximation Results -- 1 Formulation of the Problem -- 2 Definitions and the Main Result -- 3 Proof -- 4 Physical Interpretation of the Result -- References -- Linear Neural Networks Revisited: From PageRank to Family Happiness -- 1 Linear Neural Networks: A Brief Reminder -- 2 Linear Neural Networks: A Precise Description -- 3 Linear Neural Networks: From the General Case to the Simplest Case -- 4 First Application: PageRank Algorithm as an Example of a Linear Neural Network -- 5 Second Application: Family Dynamics -- References -- Why 3 Basic Colors? Why 4 Basic Tastes? -- 1 Introduction -- 2 Why 3 Basic Colors? -- 3 Why 4 Basic Tastes?.References -- What Segments Are the Best in Representing Contours? -- 1 Introduction to the Problem -- 2 Motivations of the Proposed Mathematical Definitions -- 3 Definitions and the Main Result -- 4 Proofs -- References -- Strength of Lime Stabilized Pavement Materials: Possible Theoretical Explanation of Empirical Dependencies -- 1 Formulation of the Problem -- 2 Our Explanation -- References -- Towards a Theoretical Explanation of How Pavement Condition Index Deteriorates over Time -- 1 Formulation of the Problem -- 2 General Invariances -- 3 First Attempt: Let Us Directly Apply Invariance Ideas to Our Problem -- 4 Let Us Now Apply Invariance Ideas Indirectly -- References -- A Recent Result About Random Metric Spaces Explains Why All of Us Have Similar Learning Potential -- 1 Formulation of the Problem -- 2 Our Explanation -- References -- Finitely Generated Sets of Fuzzy Values: If ``And'' Is Exact, Then ``Or'' Is Almost Always Approximate, and Vice Versa-A Theorem -- 1 Formulation of the Problem -- 2 Definitions and the Main Result -- 3 How General Is This Result? -- 4 What if We Allow Unlimited Number of ``And''-Operations and Negations: Case Study -- References -- Fuzzy Logic Explains the Usual Choice of Logical Operations in 2-Valued Logic -- 1 Formulation of the Problem -- 2 Our Explanation -- 3 Auxiliary Result: Why the Usual Quantifiers? -- References.Studies in Systems, Decision and ControlJustification (Theory of knowledge)Uncertainty (Information theory)Incertesa (Teoria de la informació)thubJustificació (Teoria del coneixement)thubLlibres electrònicsthubJustification (Theory of knowledge)Uncertainty (Information theory)Incertesa (Teoria de la informació)Justificació (Teoria del coneixement)003.54Kreinovich VladikCeberio MartineMiAaPQMiAaPQMiAaPQBOOK9910484321203321How uncertainty-related ideas can provide theoretical explanation for empirical dependencies1891979UNINA