1.

Record Nr.

UNINA9911053044603321

Titolo

Information and Divergence Measures

Pubbl/distr/stampa

MDPI - Multidisciplinary Digital Publishing Institute, 2023

Descrizione fisica

1 online resource (282 p.)

Soggetti

Physics

Research & information: general

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

The concept of distance is important for establishing the degree of similarity and/or closeness between functions, populations, or distributions. As a result, distances are related to inferential statistics, including problems related to both estimation and hypothesis testing, as well as modelling with applications in regression analysis, multivariate analysis, actuarial science, portfolio optimization, survival analysis, reliability theory, and many other areas. Thus, entropy and divergence measures are always a central concern for scientists, researchers, medical experts, engineers, industrial managers, computer experts, data analysts, and other professionals. This reprint focuses on recent developments in information and divergence measures and presents new theoretical issues as well as solutions to important practical problems and case studies illustrating the great applicability of these innovative techniques and methods. The contributions in this reprint highlight the diversity of topics in this scientific field.



2.

Record Nr.

UNICAMPANIAVAN00123727

Autore

Gavrilyuk, Sergey L.

Titolo

Waves in Continuous Media / S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin

Pubbl/distr/stampa

Cham, : Birkhäuser, 2017

Titolo uniforme

Waves in Continuous Media

Descrizione fisica

viii, 141 p. : ill. ; 24 cm

Altri autori (Persone)

Makarenko, Nikolay I.

Sukhinin, Sergei V.

Soggetti

74-XX - Mechanics of deformable solids [MSC 2020]

76-XX - Fluid mechanics [MSC 2020]

76B70 - Stratification effects in inviscid fluids [MSC 2020]

76D33 - Waves for incompressible viscous fluids [MSC 2020]

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and  conservation laws for  quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations.

Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids.

The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.