LEADER 07045nam 2200565 450 001 9910484321203321 005 20240226153610.0 010 $a3-030-65324-2 035 $a(CKB)4100000011801709 035 $a(MiAaPQ)EBC6523366 035 $a(Au-PeEL)EBL6523366 035 $a(OCoLC)1243550106 035 $a(PPN)254722458 035 $a(EXLCZ)994100000011801709 100 $a20211013d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aHow uncertainty-related ideas can provide theoretical explanation for empirical dependencies /$fMartine Ceberio and Vladik Kreinovich (editors) 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (152 pages) $cillustrations 225 1 $aStudies in Systems, Decision and Control ;$vv.306 311 $a3-030-65323-4 320 $aIncludes bibliographical references. 327 $aIntro -- 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. 327 $a3 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?. 327 $aReferences -- What Segments Are the Best in Representing Contours? -- 1 Introduction to the Problem -- 2 Motivations of the Proposed Mathematical Definitions -- 3 Definitions and the Main Result -- 4 Proofs -- References -- Strength of Lime Stabilized Pavement Materials: Possible Theoretical Explanation of Empirical Dependencies -- 1 Formulation of the Problem -- 2 Our Explanation -- References -- Towards a Theoretical Explanation of How Pavement Condition Index Deteriorates over Time -- 1 Formulation of the Problem -- 2 General Invariances -- 3 First Attempt: Let Us Directly Apply Invariance Ideas to Our Problem -- 4 Let Us Now Apply Invariance Ideas Indirectly -- References -- A Recent Result About Random Metric Spaces Explains Why All of Us Have Similar Learning Potential -- 1 Formulation of the Problem -- 2 Our Explanation -- References -- Finitely Generated Sets of Fuzzy Values: If ``And'' Is Exact, Then ``Or'' Is Almost Always Approximate, and Vice Versa-A Theorem -- 1 Formulation of the Problem -- 2 Definitions and the Main Result -- 3 How General Is This Result? -- 4 What if We Allow Unlimited Number of ``And''-Operations and Negations: Case Study -- References -- Fuzzy Logic Explains the Usual Choice of Logical Operations in 2-Valued Logic -- 1 Formulation of the Problem -- 2 Our Explanation -- 3 Auxiliary Result: Why the Usual Quantifiers? -- References. 410 0$aStudies in Systems, Decision and Control 606 $aJustification (Theory of knowledge) 606 $aUncertainty (Information theory) 606 $aIncertesa (Teoria de la informació)$2thub 606 $aJustificació (Teoria del coneixement)$2thub 608 $aLlibres electrònics$2thub 615 0$aJustification (Theory of knowledge) 615 0$aUncertainty (Information theory) 615 7$aIncertesa (Teoria de la informació) 615 7$aJustificació (Teoria del coneixement) 676 $a003.54 702 $aKreinovich$b Vladik 702 $aCeberio$b Martine 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484321203321 996 $aHow uncertainty-related ideas can provide theoretical explanation for empirical dependencies$91891979 997 $aUNINA