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1. |
Record Nr. |
UNINA9910508446803321 |
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Autore |
Ellerman David P. |
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Titolo |
New foundations of information theory : logical entropy and Shannon entropy / / David Ellerman |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (121 pages) |
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Collana |
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SpringerBriefs in philosophy |
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Disciplina |
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Soggetti |
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Entropy (Information theory) |
Entropia (Teoria de la informació) |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Acknowledgements -- About this book -- Contents -- About the Author -- 1 Logical Entropy -- 1.1 Introduction -- 1.2 Logical Information as the Measure of Distinctions -- 1.3 Classical Logical Probability and Logical Entropy -- 1.4 Information Algebras and Joint Distributions -- 1.5 Brief History of the Logical Entropy Formula -- References -- 2 The Relationship Between Logical Entropy and Shannon Entropy -- 2.1 Shannon Entropy -- 2.2 Logical Entropy, Not Shannon Entropy, Is a (Non-negative) Measure -- 2.3 The Dit-Bit Transform -- References -- 3 The Compound Notions for Logical and Shannon Entropies -- 3.1 Conditional Logical Entropy -- 3.2 Shannon Conditional Entropy -- 3.3 Logical Mutual Information -- 3.4 Shannon Mutual Information -- 3.5 Independent Joint Distributions -- 3.6 Cross-Entropies, Divergences, and Hamming Distance -- 3.6.1 Cross-Entropies -- 3.6.2 Divergences -- 3.6.3 Hamming Distance -- 3.7 Summary of Formulas and Dit-Bit Transforms -- References -- 4 Further Developments of Logical Entropy -- 4.1 Entropies for Multivariate Joint Distributions -- 4.2 An Example of Negative Mutual Information for Shannon Entropy -- 4.3 Entropies for Countable Probability Distributions -- 4.4 Metrical Logical Entropy = (Twice) Variance -- 4.5 Boltzmann and Shannon Entropies: A Conceptual Connection? -- 4.6 MaxEntropies for Discrete Distributions -- 4.7 The |
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Transition to Coding Theory -- 4.8 Logical Entropy on Rooted Trees -- References -- 5 Quantum Logical Information Theory -- 5.1 Density Matrix Treatment of Logical Entropy -- 5.2 Linearizing Logical Entropy to Quantum Logical Entropy -- 5.3 Theorems About Quantum Logical Entropy -- 5.4 Quantum Logical Entropies with Density Matrices as Observables -- 5.5 The Logical Hamming Distance Between Two Partitions -- 5.6 The Quantum Logical Hamming Distance -- References -- 6 Conclusion. |
6.1 Information Theory Re-founded and Re-envisioned -- 6.2 Quantum Information Theory Re-envisioned -- 6.3 What Is to Be Done? -- References -- A Basics of Partition Logic -- A.1 Subset Logic and Partition Logic -- A.2 The Lattice Operations on Partitions -- A.3 Implication and Negation in Partition Logic -- A.4 Relative Negation in Partition Logic and the Boolean Core -- A.5 Partition Tautologies -- References -- Index. |
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2. |
Record Nr. |
UNINA9910702526003321 |
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Autore |
Blumberg Stephen J. |
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Titolo |
Marriage, cohabitation, and men's use of preventive health care services / / Stephen J. Blumberg, Anjel Vahratian, and Jospeh H. Blumberg |
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Pubbl/distr/stampa |
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Hyattsville, MD : , : U.S. Department of Health and Human Services, Centers for Disease Control and Prevention, National Center for Health Statistics, , 2014 |
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Descrizione fisica |
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1 online resource (6 pages) : color illustrations |
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Collana |
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NCHS data brief ; ; no. 154 |
DHHS publication ; ; no. 2014-1209 |
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Soggetti |
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Men's health services - United States |
Health risk assessment - United States |
Health risk assessment |
Men's health services |
Statistics. |
United States |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Caption title. |
"June 2014" |
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"CS248186." |
Title from title screen (viewed November 30, 2015). |
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Nota di bibliografia |
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Includes bibliographical references (page 6). |
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3. |
Record Nr. |
UNINA9910809722903321 |
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Titolo |
Fractional order analysis : theory, methods and applications / / edited by Hemen Dutta, Ahmet Ocak Akdemir, Abdon Atangana |
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Pubbl/distr/stampa |
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Hoboken, New Jersey : , : Wiley, , 2020 |
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ISBN |
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1-119-65420-3 |
1-119-65423-8 |
1-119-65422-X |
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Descrizione fisica |
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1 online resource (443 pages) : illustrations |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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On the fractional derivative and integral operators -- Generalized conformable fractional operators and their applications -- Analysis of new trends of fractional differential equations -- New estimations for exponentially convexity via conformable fractional operators -- Lyapunov type inequalities for local fractional proportional derivatives -- Minkowski type inequalities for mixed conformable fractional integrals -- New estimations for different kinds of convex functions via conformable integrals and RiemannLiouville fractional integral operators -- Legendre-Spectral algorithms for solving some fractional differential equations -- Mathematical modeling of an autonomous nonlinear dynamical system for Malaria transmission using Caputo derivative -- MHD free convection flow over a vertical plate with ramped wall temperature and chemical reaction in view of non-singular kernel -- Comparison of the different fractional derivatives for the dynamics of Zika virus. |
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Sommario/riassunto |
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"The book contains new research findings in fractional order analysis. Different tools and techniques from the field of fractional order analysis |
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are found to be extremely helpful in practical applications because such analyses can help in developing mathematical methods or models more accurately. The book covers topics such as: conformable fractional operators, local fractional proportional derivatives, fractional derivative and integral operators, different inequalities via several fractional environments, different type of fractional integral operators, fractional-order chaotic model, flow models in fractional environment, multi-dimensional fractional order models, fractional modelling of the transmission dynamics of Influenza, and Zika virus model with various fractional derivatives. Using this book, readers can find several useful, relevant and connected topics in one place, which is necessary for crucial understanding of research problems of an applied nature"-- |
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