05582nam 2200685 a 450 991014148430332120240313140443.01-118-42830-71-299-15908-71-118-42859-51-118-42860-9(CKB)2670000000327678(EBL)1120708(OCoLC)827207589(MiAaPQ)EBC1120708(DLC) 2012038406(Au-PeEL)EBL1120708(CaPaEBR)ebr10657810(CaONFJC)MIL447158(PPN)17826590X(EXLCZ)99267000000032767820120913d2013 uy 0engur|n|---|||||rdacontentrdamediardacarrierEntropy theory and its application in environmental and water engineering /Vijay P. Singh1st ed.Chichester, West Sussex, U.K. John Wiley & Sons Inc.20131 online resource (666 p.)Description based upon print version of record.1-119-97656-1 Includes bibliographical references and indexes.Cover; Title Page; Copright; Contents; Preface; Acknowledgments; Chapter 1 Introduction; 1.1 Systems and their characteristics; 1.1.1 Classes of systems; 1.1.2 System states; 1.1.3 Change of state; 1.1.4 Thermodynamic entropy; 1.1.5 Evolutive connotation of entropy; 1.1.6 Statistical mechanical entropy; 1.2 Informational entropies; 1.2.1 Types of entropies; 1.2.2 Shannon entropy; 1.2.3 Information gain function; 1.2.4 Boltzmann, Gibbs and Shannon entropies; 1.2.5 Negentropy; 1.2.6 Exponential entropy; 1.2.7 Tsallis entropy; 1.2.8 Renyi entropy; 1.3 Entropy, information, and uncertainty1.3.1 Information1.3.2 Uncertainty and surprise; 1.4 Types of uncertainty; 1.5 Entropy and related concepts; 1.5.1 Information content of data; 1.5.2 Criteria for model selection; 1.5.3 Hypothesis testing; 1.5.4 Risk assessment; Questions; References; Additional References; Chapter 2 Entropy Theory; 2.1 Formulation of entropy; 2.2 Shannon entropy; 2.3 Connotations of information and entropy; 2.3.1 Amount of information; 2.3.2 Measure of information; 2.3.3 Source of information; 2.3.4 Removal of uncertainty; 2.3.5 Equivocation; 2.3.6 Average amount of information; 2.3.7 Measurement system2.3.8 Information and organization2.4 Discrete entropy: univariate case and marginal entropy; 2.5 Discrete entropy: bivariate case; 2.5.1 Joint entropy; 2.5.2 Conditional entropy; 2.5.3 Transinformation; 2.6 Dimensionless entropies; 2.7 Bayes theorem; 2.8 Informational correlation coefficient; 2.9 Coefficient of nontransferred information; 2.10 Discrete entropy: multidimensional case; 2.11 Continuous entropy; 2.11.1 Univariate case; 2.11.2 Differential entropy of continuous variables; 2.11.3 Variable transformation and entropy; 2.11.4 Bivariate case; 2.11.5 Multivariate case2.12 Stochastic processes and entropy2.13 Effect of proportional class interval; 2.14 Effect of the form of probability distribution; 2.15 Data with zero values; 2.16 Effect of measurement units; 2.17 Effect of averaging data; 2.18 Effect of measurement error; 2.19 Entropy in frequency domain; 2.20 Principle of maximum entropy; 2.21 Concentration theorem; 2.22 Principle of minimum cross entropy; 2.23 Relation between entropy and error probability; 2.24 Various interpretations of entropy; 2.24.1 Measure of randomness or disorder; 2.24.2 Measure of unbiasedness or objectivity2.24.3 Measure of equality2.24.4 Measure of diversity; 2.24.5 Measure of lack of concentration; 2.24.6 Measure of flexibility; 2.24.7 Measure of complexity; 2.24.8 Measure of departure from uniform distribution; 2.24.9 Measure of interdependence; 2.24.10 Measure of dependence; 2.24.11 Measure of interactivity; 2.24.12 Measure of similarity; 2.24.13 Measure of redundancy; 2.24.14 Measure of organization; 2.25 Relation between entropy and variance; 2.26 Entropy power; 2.27 Relative frequency; 2.28 Application of entropy theory; Questions; References; Additional ReadingChapter 3 Principle of Maximum Entropy Entropy Theory and its Application in Environmental and Water Engineering responds to the need for a book that deals with basic concepts of entropy theory from a hydrologic and water engineering perspective and then for a book that deals with applications of these concepts to a range of water engineering problems. The range of applications of entropy is constantly expanding and new areas finding a use for the theory are continually emerging. The applications of concepts and techniques vary across different subject areas and this book aims to relate them directly to practical problemsHydraulic engineeringMathematicsWaterThermal propertiesMathematical modelsHydraulicsMathematicsMaximum entropy methodCongressesEntropyHydraulic engineeringMathematics.WaterThermal propertiesMathematical models.HydraulicsMathematics.Maximum entropy methodEntropy.627.01/53673Singh V. P(Vijay P.)47916MiAaPQMiAaPQMiAaPQBOOK9910141484303321Entropy theory and its application in environmental and water engineering2064796UNINA