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Technical Reports from 2013

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Conservation of Energy Implies Conservation of Momentum: How We Can Explain Conservation of Momentum to Before-Calculus Students, Eric Freudenthal, Eric Hagedorn, and Olga Kosheleva

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Algebraic Product is the Only t-Norm for Which Optimization Under Fuzzy Constraints is Scale-Invariant, Juan Carlos Figueroa Garcia, Martine Ceberio, and Vladik Kreinovich

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Minimization of Average Sensitivity as a Method of Selecting Fuzzy Functions and Operations: Successes and Limitations, Riya George, Suresh Subramanian, Alejandro Vega, and Olga Kosheleva

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Processing Quantities with Heavy-Tailed Distribution of Measurement Uncertainty: How to Estimate the Tails of the Results of Data Processing, Michal Holčapek and Vladik Kreinovich

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Necessary and Sufficient Conditions for Generalized Uniform Fuzzy Partitions, Michal Holčapek, Irina Perfilieva, Vilém Novák, and Vladik Kreinovich

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Estimating Third Central Moment C3 for Privacy Case under Interval and Fuzzy Uncertainty, Ali Jalal-Kamali and Vladik Kreinovich

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Solving Interval Linear Systems Is NP-Hard Even When All Inputs Are Known With the Same Accuracy, Ralph Kelsey and Vladik Kreinovich

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Security Games with Interval Uncertainty, Christopher Kiekintveld, Towhidul Islam, and Vladik Kreinovich

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Peak-End Rule: A Utility-Based Explanation, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich

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Approximate Nature of Traditional Fuzzy Methodology Naturally Leads to Complex-Valued Fuzzy Degrees, Olga Kosheleva and Vladik Kreinovich

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Brans-Dicke Scalar-Tensor Theory of Gravitation May Explain Time Asymmetry of Physical Processes, Olga Kosheleva and Vladik Kreinovich

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Dialect or a New Language: A Possible Explanation of the 70% Mutual Intelligibility Threshold, Olga Kosheleva and Vladik Kreinovich

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Finding the Best Function: A Way to Explain Calculus of Variations to Engineering and Science Students, Olga Kosheleva and Vladik Kreinovich

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For Describing Uncertainty, Ellipsoids Are Better than Generic Polyhedra and Probably Better than Boxes: A Remark, Olga Kosheleva and Vladik Kreinovich

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How to Explain (and Overcome) 2% Barrier in Teaching Computer Science: Fuzzy Ideas Can Help, Olga Kosheleva and Vladik Kreinovich

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Perception of Elite and Universal Systems of Higher Education: An Explanation of the Empirical Thresholds, Olga Kosheleva and Vladik Kreinovich

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Space-Time Assumptions Behind NP-Hardness of Propositional Satisfiability, Olga Kosheleva and Vladik Kreinovich

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Stochastic Causality Is Inconsistent with the Lorentz Group, Olga Kosheleva and Vladik Kreinovich

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Use of Grothendieck Inequality in Interval Computations: Quadratic Terms are Estimated Accurately Modulo a Constant Factor, Olga Kosheleva and Vladik Kreinovich

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Why 20? Why 40? A Possible Explanation of a Special Role of 20 and 40 in Traditional Number Systems, Olga Kosheleva and Vladik Kreinovich

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Why in Mayan Mathematics, Zero and Infinity Are the Same: A Possible Explanation, Olga Kosheleva and Vladik Kreinovich

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Why Rozenzweig-Style Midrashic Approach Makes Rational Sense: A Logical (Spinoza-Like) Explanation Of A Seemingly Non-Logical Approach, Olga Kosheleva and Vladik Kreinovich

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Computing with Words: Towards a New Tuple-Based Formalization, Olga Kosheleva, Vladik Kreinovich, Ariel Garcia, Felipe Jovel, Luis A. Torres Escobedo, and Thavatchai Ngamsantivong

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Fuzzy Sets Can Be Interpreted as Limits of Crisp Sets, and This Can Help to Fuzzify Crisp Notions, Olga Kosheleva, Vladik Kreinovich, and Thavatchai Ngamsantivong

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Why Complex-Valued Fuzzy? Why Complex Values in General? A Computational Explanation, Olga Kosheleva, Vladik Kreinovich, and Thavatchai Ngamsantivong