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Uncertainty (Information theory) --- Incertitude (théorie de l'information) --- Incertitude (théorie de l'information)

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"Mathematics of Uncertainty" provides the basic ideas and foundations of uncertainty, covering the fields of mathematics in which uncertainty, variability, imprecision and fuzziness of data are of importance. This introductory book describes the basic ideas of the mathematical fields of uncertainty from simple interpolation to wavelets, from error propagation to fuzzy sets and neural networks. The book presents the treatment of problems of interpolation and approximation, as well as observation fuzziness which can essentially influence the preciseness and reliability of statements on functional relationships. The notions of randomness and probability are examined as a model for the variability of observation and measurement results. Besides these basic ideas the book also presents methods of qualitative data analysis such as cluster analysis and classification, and of evaluation of functional relationships such as regression analysis and quantitative fuzzy data analysis.

Fuzzy mathematics. --- Uncertainty (Information theory). --- Uncertainty (Information theory) --- Fuzzy mathematics --- Incertitude (Théorie de l'information) --- Mathématiques floues --- EPUB-LIV-FT SPRINGER-B

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This book discusses entropy and the Second Law of Thermodynamics in such a way that everyone can understand its subject matter. Entropy is one of the most interesting concepts in physics. Although it is a well-defined concept, it is still perceived by even well-known scientists as a concept cloaked in mystery. It is also the most misused, and often abused, concept in physics. In order to understand entropy, one needs to understand the Shannon measure of information, and in order to grasp this idea, one must be familiar with some basic concepts of probability. Therefore, this book consists of three chapters: the first discusses probability, the second addresses Information Theory, and the third considers entropy and the Second Law of Thermodynamics. Readers will discover that the Second Law is nothing but a law of probability.

Entropy. --- Entropy --- Thermodynamics --- Information theory --- Uncertainty (Information theory) --- Entropie --- Thermodynamique --- Information, Théorie de l' --- Incertitude (théorie de l'information) --- Study and teaching. --- Étude et enseignement

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Build the skills for determining appropriate error limits for quantities that matter with this essential toolkit. Understand how to handle a complete project and how uncertainty enters into various steps. Provides a systematic, worksheet-based process to determine error limits on measured quantities, and all likely sources of uncertainty are explored, measured or estimated. Features instructions on how to carry out error analysis using Excel and MATLAB, making previously tedious calculations easy. Whether you are new to the sciences or an experienced engineer, this useful resource provides a practical approach to performing error analysis. Suitable as a text for a junior or senior level laboratory course in aerospace, chemical and mechanical engineering, and for professionals.

Uncertainty (Information theory) --- Error analysis (Mathematics) --- Incertitude (théorie de l'information) --- Calcul d'erreur --- Mathematical models --- Study and teaching (Higher) --- Modèles mathématiques --- Étude et enseignement (supérieur)

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Statistical science --- Social sciences --- Distribution (Probability theory) --- Uncertainty (Information theory) --- Statistical methods --- Methodology --- 519.2 --- Probability. Mathematical statistics --- 519.2 Probability. Mathematical statistics --- Sciences sociales --- Incertitude (Théorie de l'information) --- Méthodologie --- Méthodes statistiques --- Social sciences - Statistical methods --- Social sciences - Methodology --- Statistique --- Modeles mathematiques