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Special Functions : Fractional Calculus and the Pathway for Entropy
This book deals with the connection between entropy, probability, and fractional dynamics as they appeared, for example, in solar neutrino astrophysics since the 1970's (Mathai and Rathie 1975, Mathai and Pederzoli 1977, Mathai and Saxena 1978, Mathai, Saxena, and Haubold 2010). The original solar neutrino problem, experimentally and theoretically, was resolved through the discovery of neutrino…
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- -
- ISBN/ISSN
- 978-3-03842-664-6
- Collation
- -
- Series Title
- -
- Call Number
- 530 SPE
Surface Modification to Improve Properties of Materials
This book contains selected contributions on surface modification to improve the properties of solid materials. The surface properties are tailored either by functionalization, etching, or deposition of a thin coating. Functionalization is achieved by a brief treatment with non-equilibrium gaseous plasma containing suitable radicals that interact chemically with the material surface and thus en…
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- ISBN/ISSN
- 978-3-03897-797-1
- Collation
- -
- Series Title
- -
- Call Number
- 628 SUR
Recurrence Quantification Analysis: Theory and Best Practices
The analysis of recurrences in dynamical systems by using recurrence plots and their quantification is still an emerging field. Over the past decades recurrence plots have proven to be valuable data visualization and analysis tools in the theoretical study of complex, time-varying dynamical systems as well as in various applications in biology, neuroscience, kinesiology, psychology, physiology,…
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- ISBN/ISSN
- 978-3-319-07155-8
- Collation
- -
- Series Title
- -
- Call Number
- 571.4
An Algebraic Geometric Approach to Separation of Variables
Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum physics. The present work reveals a surprising algebraic geometric structure behind the famous list of separation coordinates, bringing together …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-658-11408-4
- Collation
- XII, 138
- Series Title
- -
- Call Number
- 516 SCH a
Magnetospheric Plasma Physics: The Impact of Jim Dungey’s Research
This book makes good background reading for much of modern magnetospheric physics. Its origin was a Festspiel for Professor Jim Dungey, former professor in the Physics Department at Imperial College on the occasion of his 90th birthday, 30 January 2013. Remarkably, although he retired 30 years ago, his pioneering and, often, maverick work in the 50’s through to the 70’s on solar terrestrial…
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- ISBN/ISSN
- 978-3-319-18359-6
- Collation
- -
- Series Title
- -
- Call Number
- -
The Monge-Ampère Equation
Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas …
- Edition
- -
- ISBN/ISSN
- 978-3-319-43374-5
- Collation
- XIV, 216
- Series Title
- Progress in Nonlinear Differential Equations and Their Applications
- Call Number
- -
The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint O…
All kinds of singular interactions described by potentials supported on small sets (like the Dirac δ-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construc…
- Edition
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- ISBN/ISSN
- 978-3-319-29535-0
- Collation
- XX, 237
- Series Title
- Operator Theory: Advances and Applications
- Call Number
- -
The Message of Quantum Science
In addition, whenever possible these essays take the opportunity to link foundational issues to the many exciting developments that are often linked to major experimental and technological breakthroughs in exploiting the electromagnetic field and in particular, its quantum properties and its interactions with matter, as well as to advances in solid state physics (such as new quantum Hall liquid…
- Edition
- -
- ISBN/ISSN
- 978-3-662-46422-9
- Collation
- XVIII, 348
- Series Title
- Lecture Notes in Physics
- Call Number
- -
Machine Learning in Radiation Oncology: Theory and Applications
This book provides a complete overview of the role of machine learning in radiation oncology and medical physics, covering basic theory, methods, and a variety of applications in medical physics and radiotherapy. An introductory section explains machine learning, reviews supervised and unsupervised learning methods, discusses performance evaluation, and summarizes potential applications in radi…
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- ISBN/ISSN
- 978-3-319-18305-3
- Collation
- -
- Series Title
- -
- Call Number
- -
The Limit Shape Problem for Ensembles of Young Diagrams
This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in the appropriate scaling limit for the profiles of Young diagrams. This problem is regarded as an important origin of recent vital…
- Edition
- -
- ISBN/ISSN
- 978-4-431-56487-4
- Collation
- IX, 73
- Series Title
- SpringerBriefs in Mathematical Physics
- Call Number
- -
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