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Technical Reports from 2022

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How to Solve the Apportionment Paradox, Olga Kosheleva and Vladik Kreinovich

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Invariance Explains Empirical Success of Many Intelligent Techniques, Olga Kosheleva and Vladik Kreinovich

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Macrocausality Implies Lorenz Group: A Physics-Related Comment on Guts's Results, Olga Kosheleva and Vladik Kreinovich

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Need for Techniques Intermediate Between Interval and Probabilistic Ones, Olga Kosheleva and Vladik Kreinovich

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Physical Trajectories Are Smooth, with Velocities at Least As Continuous As Brownian Motion, Olga Kosheleva and Vladik Kreinovich

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Why Aspirational Goals: Geometric Explanation, Olga Kosheleva and Vladik Kreinovich

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Why Hate: Analysis Based on Decision Theory, Olga Kosheleva and Vladik Kreinovich

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Why in MOND -- Alternative Gravitation Theory -- a Specific Formula Works the Best: Complexity-Based Explanation, Olga Kosheleva and Vladik Kreinovich

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Why People Tend to Overestimate Joint Probabilities, Olga Kosheleva and Vladik Kreinovich

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Why Rejuvenation Attempts Often Lead to Cancer and Why Cyclic Rejuvenation Is Better: A Simple Qualitative Explanation, Olga Kosheleva and Vladik Kreinovich

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Why Should Exactly 1/4 Be Returned to the Original Owner: An Economic Explanation of an Ancient Recommendation, Olga Kosheleva and Vladik Kreinovich

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Why Would Anyone Invest in a High-Risk Low-Profit Enterprise?, Olga Kosheleva and Vladik Kreinovich

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Will Nanotechnology Bring in the Judgement Day?, Olga Kosheleva and Vladik Kreinovich

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How to Make Quantum Ideas Less Counter-Intuitive: A Simple Analysis of Measurement Uncertainty Can Help, Olga Kosheleva, Vladik Kreinovich, and Louis Ray Lopez

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Explaining an Empirical Formula for Bioreaction to Similar Stimuli (Covid-19 and Beyond), Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong

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Game-Theoretic Approach Explains -- on the Qualitative Level -- the Antigenic Map of Covid-19 Variants, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong

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From Historically First "Unary" Numbers, Through Egyptian Fractions, Roman Numerals, Leibniz's Binary Numbers and Kepler's Fractions to Modern Ideas Such as Calkin-Wilf Tree: A Unified Approach to Representing Natural Numbers and Fractions, Olga Kosheleva, Vladik Kreinovich, and Christian Servin

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How to React to Student Evaluations, Olga Kosheleva, Vladik Kreinovich, and Christian Servin

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Motivations Do Not Decrease Procrastination, So What Can We Do?, Olga Kosheleva, Vladik Kreinovich, and Christian Servin

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Video or Text? Bullets or No Bullets? Why Not Both?, Olga Kosheleva, Vladik Kreinovich, and Christian Servin

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Why Core Curriculum? Why Art and Nature Enhance Creativity? A Mathematical Explanation, Olga Kosheleva, Vladik Kreinovich, and Christian Servin

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Why Online Teaching Amplifies the Differences Between Instructors' Success, Olga Kosheleva, Vladik Kreinovich, and Christian Servin

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Why Pre-Teaching: A Geometric Explanation, Olga Kosheleva, Vladik Kreinovich, and Christian Servin

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How to Describe Variety of a Probability Distribution: A Possible Answer to Yager's Question, Vladik Kreinovich

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Ordered Weighted Averaging (OWA), Decision Making Under Uncertainty, and Deep Learning: How Is This All Related?, Vladik Kreinovich

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Everyone Is Above Average: Is It Possible? Is It Good?, Vladik Kreinovich and Olga Kosheleva

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Fuzzy Or Neural, Type-1 Or Type-2 -- When Each Is Better: First-Approximation Analysis, Vladik Kreinovich and Olga Kosheleva

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Efficient Algorithms for Data Processing under Type-3 (and Higher) Fuzzy Uncertainty, Vladik Kreinovich, Olga Kosheleva, Patricia Melin, and Oscar Castillo

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What Is a Natural Probability Distribution on the Class of All Continuous Functions: Maximum Entropy Approach Leads to Wiener Measure, Vladik Kreinovich and Saeid Tizpaz-Niari

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Why Gaussian Copulas Are Ubiquitous in Economics: Fuzzy-Related Explanation, Chon Van Le, Olga Kosheleva, and Vladik Kreinovich

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How to Describe Hypothetic Truly Rare Events (with Probability 0), Luc Longpre and Vladik Kreinovich

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Why Deep Neural Networks: Yet Another Explanation, Ricardo Lozano, Ivan Montoya Sanchez, and Vladik Kreinovich

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Dielectric Barrier Discharge (DBD) Thrusters -- Aerospace Engines of the Future: Invariance-Based Analysis, Alexis Lupo and Vladik Kreinovich

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An Argument in Favor of Piecewise-Constant Membership Functions, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Data Processing under Fuzzy Uncertainty: Towards More Accurate Algorithms, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Standard Interval Computation Algorithm Is Not Inclusion-Monotonic: Examples, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Epistemic vs. Aleatory: Case of Interval Uncertainty, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, and Vladik Kreinovich

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Which Interval-Valued Alternatives Are Possibly Optimal If We Use Hurwicz Criterion, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, and Vladik Kreinovich

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Data Processing under Fuzzy Uncertainty: Towards More Efficient Algorithm, Hung T. Nguyen, Olga Kosheleva, and Vladik Kreinovich

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Why Self-Esteem Helps to Solve Problems: An Algorithmic Explanation, Oscar Ortiz, Henry Salgado, Olga Kosheleva, and Vladik Kreinovich

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Monotonic Bit-Invariant Permutation-Invariant Metrics on the Set of All Infinite Binary Sequences, Irina Padilla and Vladik Kreinovich

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Shall We Use Logical Approach or More Traditional Mamdani Approach in Fuzzy Control: Pragmatic Analysis, R. Noah Padilla, Olga Kosheleva, and Vladik Kreinovich

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Fair Bankruptcy Solutions Under Interval Uncertainty, Uyen Pham, Olga Kosheleva, and Vladik Kreinovich

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Spiral Arms Around a Star: Geometric Explanation, Juan L. Puebla and Vladik Kreinovich

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Why Immunodepressive Drugs Often Make People Happier, Joshua Ramos, Dario Vasquez, Ruth Trejo, and Vladik Kreinovich

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How to Solve the Apportionment Paradox, Christopher Reyes and Vladik Kreinovich

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Economy-Related Emotional Attitudes Towards Other People: How Can We Explain Them?, Christopher Reyes, Vladik Kreinovich, and Chon Van Le

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Need for Optimal Distributed Measurement of Cumulative Quantities Explains the Ubiquity of Absolute and Relative Error Components, Hector A. Reyes, Aaron D. Brown, Jeffrey Escamilla, Ethan D. Kish, and Vladik Kreinovich

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Graph Approach to Uncertainty Quantification, Hector A. Reyes, Cliff Joslyn, and Vladik Kreinovich

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Over-Measurement Paradox: Suspension of Thermonuclear Research Center and Need to Update Standards, Hector Reyes, Saeid Tizpaz-Niari, and Vladik Kreinovich