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Titlebook: How Uncertainty-Related Ideas Can Provide Theoretical Explanation For Empirical Dependencies; Martine Ceberio,Vladik Kreinovich Book 2021

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Intuitive Idea of Implication Versus Formal Definition: How to Define the Corresponding Degree, this number is not in good accordance with our intuition, and that a natural formalization of this intuition leads to the need to use, as the desired degree, the ratio between the shortened derivation length and the original length.
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A Recent Result About Random Metric Spaces Explains Why All of Us Have Similar Learning Potential,ential. In this paper, we deal with a different question: how to explain the above experimental result. It turns out that this result about learning abilities—which are, due to genetics, randomly distributed among the human population—can be naturally explained by a recent mathematical result about random metrics.
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,Dimension Compactification—A Possible Explanation for Superclusters and for Empirical Evidence Usuafication suggestion, and we show that—on the qualitative level—these consequences have actually been already observed: as superclusters and as evidence that is usually interpreted as justifying dark matter. Thus, we get a new possible explanation of both superclusters and dark matter evidence—via dimension compactification.
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,Finitely Generated Sets of Fuzzy Values: If “And” Is Exact, Then “Or” Is Almost Always Approximate,osed under negation .. For the next simplest pair—of algebraic product and algebraic sum—we prove that for a finitely generated set, if the “and”-operation is exact, then the “or”-operation is almost always approximate, and vice versa. For other “and”- and “or”-operations, the situation can be more complex.
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2198-4182 n into account when providing theoretical explanations.Provi.This book shows how to provide uncertainty-related theoretical justification for empirical dependencies, on the examples from numerous application areas. Such justifications are needed, since without them, practitioners may be reluctant to
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Towards a Theoretical Explanation of How Pavement Condition Index Deteriorates over Time,we provide a possible theoretical explanation for this formula, an explanation based on general ideas of invariance. In general, the existence of a theoretical explanation makes a formula more reliable; thus, we hope that our explanation will make predictions of road quality more reliable.
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