Entropy theory and its application in environmental and water engineering / / Vijay P. Singh |
Autore | Singh V. P (Vijay P.) |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Chichester, West Sussex, U.K., : John Wiley & Sons Inc., 2013 |
Descrizione fisica | 1 online resource (666 p.) |
Disciplina | 627.01/53673 |
Soggetto topico |
Hydraulic engineering - Mathematics
Water - Thermal properties - Mathematical models Hydraulics - Mathematics Maximum entropy method Entropy |
ISBN |
1-118-42830-7
1-299-15908-7 1-118-42859-5 1-118-42860-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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 uncertainty
1.3.1 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 system 2.3.8 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 case 2.12 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 objectivity 2.24.3 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 Reading Chapter 3 Principle of Maximum Entropy |
Record Nr. | UNINA-9910141484303321 |
Singh V. P (Vijay P.) | ||
Chichester, West Sussex, U.K., : John Wiley & Sons Inc., 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Entropy theory in hydraulic engineering : an introduction / / Vijay P. Singh |
Autore | Singh V. P (Vijay P.) |
Pubbl/distr/stampa | Reston, Virginia : , : American Society of Civil Engineers, , 2014 |
Descrizione fisica | 1 online resource (xv, 785 p.) : ill |
Disciplina | 627/.042 |
Soggetto topico |
Hydrodynamics
Hydraulics - Mathematics Entropy |
Soggetto genere / forma | Electronic books. |
ISBN |
1-68015-798-1
0-7844-7825-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1 Entropy Theory""; ""1.1 Overview of This Volume""; ""1.2 Entropy Concept""; ""1.3 Entropy Theory""; ""1.4 Types of Entropy""; ""1.5 Application of Entropy Theory to Hydraulic Engineering Problems""; ""1.6 Hypothesis on the Cumulative Distribution Function""; ""1.7 Methodology for Application of Entropy Theory""; ""Appendix 1.1""; ""Questions""; ""References""; ""Additional Reading""; ""Part 1: Velocity Distributions""; ""Chapter 2 One-Dimensional Velocity Distributions""; ""2.1 Preliminaries""; ""2.2 Derivation of One-Dimensional Velocity Distributions""
""2.3 One-Dimensional Velocity Distribution with No Physical Constraint""""2.4 One-Dimensional Velocity Distribution with One Physical Constraint""; ""2.5 Testing of One-Physical-Constraint Velocity Distribution""; ""2.6 One-Dimensional Velocity Distribution with Two Physical Constraints""; ""2.7 One-Dimensional Velocity Distribution with Three Physical Constraints""; ""Appendix 2.1: Method of Lagrange Multipliers""; ""Questions""; ""References""; ""Additional Reading""; ""Chapter 3 Two-Dimensional Velocity Distributions""; ""3.1 Derivation of Velocity Distributions"" ""3.2 Construction of Isovels and Relation between (x, y) Coordinates and (r, s) Coordinates""""3.3 Estimation of Parameters of Velocity Distribution""; ""3.4 Maximum and Mean Velocities""; ""3.5 Comparison of Mean Velocity Estimates""; ""3.6 Alternative Method for Estimation of the Cross-Sectional Area Mean Velocity for New River Sites""; ""3.7 Derivation of 2-D Velocity Distribution Using a Mathematically Sound Coordinate System""; ""3.8 Trapezoidal Domain""; ""Appendix 3.1""; ""Appendix 3.2""; ""Questions""; ""References""; ""Additional Reading"" ""Chapter 4 Power Law and Logarithmic Velocity Distributions""""4.1 Preliminaries""; ""4.2 One-Dimensional Power Law Velocity Distribution""; ""4.3 One-Dimensional Prandtl�von Karman Universal Velocity Distribution""; ""4.4 Two-Dimensional Power Law Velocity Distribution""; ""4.5 Two-Dimensional Prandtl�von Karman Velocity Distribution""; ""4.6 Two-Dimensional Representation of Velocity Using a General Framework""; ""Questions""; ""References""; ""Additional Reading""; ""Chapter 5 Applications of Velocity Distributions""; ""5.1 Sampling Velocity Measurements"" ""5.2 Use of k[sub(1)]�Entropy Relation for Characterizing Open-Channel Flows""""5.3 Energy and Momentum Coefficients""; ""5.4 Shear Stress Distribution""; ""5.5 Relation between Maximum Velocity, Darcy�s Friction Factor, and Entropy Number""; ""5.6 Discharge Measurements""; ""5.7 Determination of Discharge at Remote Locations""; ""5.8 Determination of Flow Depth Distribution""; ""5.9 Determination of Entropy Parameter from Hydraulic and Geometric Characteristics""; ""Questions""; ""References""; ""Additional Reading""; ""Chapter 6 Velocity Distribution in Pipe Flow"" ""6.1 Derivation of Velocity Distribution"" |
Record Nr. | UNINA-9910464293103321 |
Singh V. P (Vijay P.) | ||
Reston, Virginia : , : American Society of Civil Engineers, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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