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Technical Reports from 2014

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Kekule's Benzene Structure: A Case Study of Teaching Usefulness of Symmetry, Olga Kosheleva and Vladik Kreinovich

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Observable Causality Implies Lorentz Group: Alexandrov-Zeeman-Type Theorem for Space-Time Regions, Olga Kosheleva and Vladik Kreinovich

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Simpler-to-Describe Cases are Often More Difficult to Prove: A Possible Explanation, Olga Kosheleva and Vladik Kreinovich

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Towards a Formal Description of Understandability (Causality, Pre-Requisites): From Prosorov's Phonocentric Topology to More General Interior (Closure) Structures, Olga Kosheleva and Vladik Kreinovich

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Zipf's Law and 7 Plus Minus 2 Principle Lead to a Possible Explanation of Daniel's Law, Olga Kosheleva and Vladik Kreinovich

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Fitts's Law: Towards a Geometric Explanation, Olga Kosheleva, Vladik Kreinovich, and Octavio Lerma

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Formalizing the Informal, Precisiating the Imprecise: How Fuzzy Logic Can Help Mathematicians and Physicists by Formalizing Their Intuitive Ideas, Olga Kosheleva, Renata Reiser, and Vladik Kreinovich

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If Many Physicists Are Right and No Physical Theory Is Perfect, Then by Using Physical Observations, We Can Feasibly Solve Almost All Instances of Each NP-Complete Problem, Olga Kosheleva, Michael Zakharevich, and Vladik Kreinovich

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Asymptotically Optimal Algorithm for Checking Whether a Given Vector Is a Solution to a Given Interval-Quantifier Linear System, Vladik Kreinovich

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Constructive Mathematics in St. Petersburg, Russia: A (Somewhat Subjective) View from Within, Vladik Kreinovich

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Dealing with Uncertainties in Computing: from Probabilistic and Interval Uncertainty to Combination of Different Types of Uncertainty, Vladik Kreinovich

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Interval computations and interval-related statistical techniques: estimating uncertainty of the results of data processing and indirect measurements, Vladik Kreinovich

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In Category Of Sets And Relations, It Is Possible To Describe Functions In Purely Category Terms, Vladik Kreinovich, Martine Ceberio, and Quentin Brefort

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Among Several Successful Algorithms, Simpler Ones Usually Work Better: A Possible Explanation of an Empirical Observation, Vladik Kreinovich and Olga Kosheleva

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Is the World Itself Fuzzy? Physical Arguments for -- and Unexpected Computational Consequences of -- Zadeh's Vision, Vladik Kreinovich and Olga Kosheleva

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Logic of Scientific Discovery: How Physical Induction Affects What Is Computable, Vladik Kreinovich and Olga Kosheleva

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50 Years of Fuzzy: from Discrete to Continuous to -- Where?, Vladik Kreinovich, Hung T. Nguyen, Olga Kosheleva, and Rujira Ouncharoen

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From Mean and Median Income to the Most Adequate Way of Taking Inequality Into Account, Vladik Kreinovich, Hung T. Nguyen, and Rujira Ouncharoen

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How to Estimate Forecasting Quality: A System-Motivated Derivation of Symmetric Mean Absolute Percentage Error (SMAPE) and Other Similar Characteristics, Vladik Kreinovich, Hung T. Nguyen, and Rujira Ouncharoen

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Log-Periodic Power Law as a Predictor of Catastrophic Events: A New Mathematical Justification, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta

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Need for Data Processing Naturally Leads to Fuzzy Logic (and Neural Networks): Fuzzy Beyond Experts and Beyond Probabilities, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta

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What If We Only Have Approximate Stochastic Dominance?, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta

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A Simple Geometric Model Provides a Possible Quantitative Explanation of the Advantages of Immediate Feedback in Student Learning, Octavio Lerma, Olga Kosheleva, and Vladik Kreinovich

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Interleaving Enhances Learning: A Possible Geometric Explanation, Octavio Lerma, Olga Kosheleva, and Vladik Kreinovich

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Why Injecting Fine Dust into a Tornado Is More Promising Than Injecting Coarse Dust: A Geometric Explanation, Octavio Lerma, Olga Kosheleva, and Vladik Kreinovich