Technical Reports from 2022
Will Nanotechnology Bring in the Judgement Day?, Olga Kosheleva and Vladik Kreinovich
How to Make Quantum Ideas Less Counter-Intuitive: A Simple Analysis of Measurement Uncertainty Can Help, Olga Kosheleva, Vladik Kreinovich, and Louis Ray Lopez
Explaining an Empirical Formula for Bioreaction to Similar Stimuli (Covid-19 and Beyond), Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
Game-Theoretic Approach Explains -- on the Qualitative Level -- the Antigenic Map of Covid-19 Variants, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
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
How to React to Student Evaluations, Olga Kosheleva, Vladik Kreinovich, and Christian Servin
Motivations Do Not Decrease Procrastination, So What Can We Do?, Olga Kosheleva, Vladik Kreinovich, and Christian Servin
Video or Text? Bullets or No Bullets? Why Not Both?, Olga Kosheleva, Vladik Kreinovich, and Christian Servin
Why Core Curriculum? Why Art and Nature Enhance Creativity? A Mathematical Explanation, Olga Kosheleva, Vladik Kreinovich, and Christian Servin
Why Online Teaching Amplifies the Differences Between Instructors' Success, Olga Kosheleva, Vladik Kreinovich, and Christian Servin
Why Pre-Teaching: A Geometric Explanation, Olga Kosheleva, Vladik Kreinovich, and Christian Servin
How to Describe Variety of a Probability Distribution: A Possible Answer to Yager's Question, Vladik Kreinovich
Ordered Weighted Averaging (OWA), Decision Making Under Uncertainty, and Deep Learning: How Is This All Related?, Vladik Kreinovich
Everyone Is Above Average: Is It Possible? Is It Good?, Vladik Kreinovich and Olga Kosheleva
Fuzzy Or Neural, Type-1 Or Type-2 -- When Each Is Better: First-Approximation Analysis, Vladik Kreinovich and Olga Kosheleva
Efficient Algorithms for Data Processing under Type-3 (and Higher) Fuzzy Uncertainty, Vladik Kreinovich, Olga Kosheleva, Patricia Melin, and Oscar Castillo
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
Why Gaussian Copulas Are Ubiquitous in Economics: Fuzzy-Related Explanation, Chon Van Le, Olga Kosheleva, and Vladik Kreinovich
How to Describe Hypothetic Truly Rare Events (with Probability 0), Luc Longpre and Vladik Kreinovich
Why Deep Neural Networks: Yet Another Explanation, Ricardo Lozano, Ivan Montoya Sanchez, and Vladik Kreinovich
Dielectric Barrier Discharge (DBD) Thrusters -- Aerospace Engines of the Future: Invariance-Based Analysis, Alexis Lupo and Vladik Kreinovich
An Argument in Favor of Piecewise-Constant Membership Functions, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Data Processing under Fuzzy Uncertainty: Towards More Accurate Algorithms, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Standard Interval Computation Algorithm Is Not Inclusion-Monotonic: Examples, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Epistemic vs. Aleatory: Case of Interval Uncertainty, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, and Vladik Kreinovich
Which Interval-Valued Alternatives Are Possibly Optimal If We Use Hurwicz Criterion, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, and Vladik Kreinovich
Data Processing under Fuzzy Uncertainty: Towards More Efficient Algorithm, Hung T. Nguyen, Olga Kosheleva, and Vladik Kreinovich
Why Self-Esteem Helps to Solve Problems: An Algorithmic Explanation, Oscar Ortiz, Henry Salgado, Olga Kosheleva, and Vladik Kreinovich
Monotonic Bit-Invariant Permutation-Invariant Metrics on the Set of All Infinite Binary Sequences, Irina Padilla and Vladik Kreinovich
Shall We Use Logical Approach or More Traditional Mamdani Approach in Fuzzy Control: Pragmatic Analysis, R. Noah Padilla, Olga Kosheleva, and Vladik Kreinovich
Fair Bankruptcy Solutions Under Interval Uncertainty, Uyen Pham, Olga Kosheleva, and Vladik Kreinovich
Spiral Arms Around a Star: Geometric Explanation, Juan L. Puebla and Vladik Kreinovich
Why Immunodepressive Drugs Often Make People Happier, Joshua Ramos, Dario Vasquez, Ruth Trejo, and Vladik Kreinovich
How to Solve the Apportionment Paradox, Christopher Reyes and Vladik Kreinovich
Economy-Related Emotional Attitudes Towards Other People: How Can We Explain Them?, Christopher Reyes, Vladik Kreinovich, and Chon Van Le
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
Graph Approach to Uncertainty Quantification, Hector A. Reyes, Cliff Joslyn, and Vladik Kreinovich
Over-Measurement Paradox: Suspension of Thermonuclear Research Center and Need to Update Standards, Hector Reyes, Saeid Tizpaz-Niari, and Vladik Kreinovich
Computing the Range of a Function-of-Few-Linear-Combinations Under Linear Constraints: A Feasible Algorithm, Salvador Robles, Martine Ceberio, and Vladik Kreinovich
How to Get the Most Accurate Measurement-Based Estimates, Salvador Robles, Martine Ceberio, and Vladik Kreinovich
Invariance-Based Approach Explains Empirical Formulas from Pavement Engineering to Deep Learning, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, and Vladik Kreinovich
Why Physical Power Laws Usually Have Rational Exponents, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, and Vladik Kreinovich
How the Pavement Strength Changes With Time: AI Ideas Help to Explain Semi-Empirical Formulas, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
How to Estimate The Present Serviceability Rating of a Road Segment: Explanation of an Empirical Formula, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
How Viscosity of An Asphalt Binder Depends on Temperature: Theoretical Explanation of an Empirical Dependence, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
Physical Meaning Often Leads to Natural Derivations in Elementary Mathematics: On the Examples of Solving Quadratic and Cubic Equations, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Towards Better Ways to Compute the Overall Grade for a Class, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Why Some Theoretically Possible Representations of Natural Numbers Were Historically Used and Some Were Not: An Algorithm-Based Explanation, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Education in the Era of Google, Wikipedia, and Deep Learning: Are We Humans Still Needed and If Yes for What?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
Freedom of Will, Non-Uniqueness of Cauchy Problem, Fractal Processes, Renormalization, Phase Transitions, and Stealth Aircraft, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich