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Book A Mathematical Foundation of the Resonance Theory

Download or read book A Mathematical Foundation of the Resonance Theory written by Eugene Paul Wigner and published by . This book was released on 1947 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Theory of Scattering Resonances

Download or read book Mathematical Theory of Scattering Resonances written by Semyon Dyatlov and published by American Mathematical Soc.. This book was released on 2019-09-10 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.

Book Theory of Resonances

    Book Details:
  • Author : V.I. Kukulin
  • Publisher : Springer Science & Business Media
  • Release : 2013-06-29
  • ISBN : 9401578176
  • Pages : 354 pages

Download or read book Theory of Resonances written by V.I. Kukulin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Abstracts of Declassified Documents

Download or read book Abstracts of Declassified Documents written by U.S. Atomic Energy Commission and published by . This book was released on 1947 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consists of AECD 1-2023 (no. 1-1779 called MDDC).

Book Elements Of The Theory Of Resonance

Download or read book Elements Of The Theory Of Resonance written by Ew Brown and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of the Theory of Resonance covers the basic principles of resonance theory, including harmonic oscillators, wave packets, and energy transfer. The book introduces the mathematical techniques needed to understand resonance theory, and includes examples of how resonance is applied in fields ranging from physics to biology. This book is an essential resource for physicists, chemists, and anyone interested in the study of resonance. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Book An Introduction to Neural Networks

Download or read book An Introduction to Neural Networks written by Kevin Gurney and published by CRC Press. This book was released on 2003-12-16 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though mathematical ideas underpin the study of neural networks, the author presents the fundamentals without the full mathematical apparatus. All aspects of the field are tackled, including artificial neurons as models of their real counterparts; the geometry of network action in pattern space; gradient descent methods, including back-propagation; associative memory and Hopfield nets; and self-organization and feature maps. The traditionally difficult topic of adaptive resonance theory is clarified within a hierarchical description of its operation. The book also includes several real-world examples to provide a concrete focus. This should enhance its appeal to those involved in the design, construction and management of networks in commercial environments and who wish to improve their understanding of network simulator packages. As a comprehensive and highly accessible introduction to one of the most important topics in cognitive and computer science, this volume should interest a wide range of readers, both students and professionals, in cognitive science, psychology, computer science and electrical engineering.

Book Nonlinear Waves 1

    Book Details:
  • Author : Andrei V. Gaponov-Grekhov
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 3642742890
  • Pages : 250 pages

Download or read book Nonlinear Waves 1 written by Andrei V. Gaponov-Grekhov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field. Instead of producing for the first time English proceedings it has been decided to present a good cross section of nonlinear physics in the USSR. Thus the participants at the last School were invited to provide English reviews and research papers for these two volumes (which in the years to come will be followed by the proceedings of forthcoming schools). The first volume starts with a historical overview of nonlinear dynamics from Poincaré to the present day and touches topics like attractors, nonlinear oscillators and waves, turbulence, pattern formation, and dynamics of structures in nonequilibrium dissipative media. It then deals with structures, bistabilities, instabilities, chaos, dynamics of defects in 1d systems, self-organizations, solitons, spatio-temporal structures and wave collapse in optical systems, lasers, plasmas, reaction-diffusion systems and solids.

Book Advances in Nuclear Science and Technology

Download or read book Advances in Nuclear Science and Technology written by Jeffery Lewins and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our volume in the annual review series on this occasion represents a departure from our usual practice in that it serves as a Festschrift for Eugene Wigner. Dr. Wigner has won many honours in his long, wide ranging and distinguished career spanning so many upheavals in civilized life. The editors and the authors, indeed the whole nuclear engineering community, will wish to join in a modest but further acknowledgement of the contributions he has made to nuclear engineering, not least to the morality and professionalism of nuclear engineering in a year that has raised such international concerns over safety. It suffices to make a bald statement of Eugene Wigner's life and times here, for the first article of the volume is a loving appreciation by his long-time colleague, Alvin Weinberg, an evaluation of his contribution historically during and after the Second World War but equally an account of the philosophy which Wigner provided to the burgeoning profession. Eugene Wigner was born 17th November, 1902 in Budapest, Hungary and his early schooling is described by Dr. Weinberg.

Book Resonance  From Probability To Epistemology And Back

Download or read book Resonance From Probability To Epistemology And Back written by Krzysztof Burdzy and published by World Scientific. This book was released on 2016-05-26 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resonance examines some building blocks of epistemology as a prelude to the careful analysis of the foundations of probability. The concept of resonance is introduced to shed light on the philosophical problems of induction, consciousness, intelligence and free will. The same concept is later applied to provide support for a new philosophical theory of probability.Although based on existing ideas and theories, the epistemological concept of resonance is investigated for the first time in this book. The best-known philosophical theories of probability, frequency and subjective, are shown to be unrealistic and dissociated from the two main branches of statistics: frequency statistics and Bayesian statistics.Written in an accessible style, this book can be enjoyed by philosophers, statisticians and mathematicians, and also by anyone looking to expand their understanding of the disciplines of epistemology and probability.

Book Mathematical Theory of Uniformity and its Applications in Ecology and Chaos

Download or read book Mathematical Theory of Uniformity and its Applications in Ecology and Chaos written by Chuanwen Luo and published by Springer Nature. This book was released on 2022-10-10 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts forward a new mathematical theory to study chaotic phenomenon. The uniform theory is established on the basis of two elementary concept of circle and externally tangent square in mathematics. The author studies the uniformity of a finite set of points distributed in space by uniform theory. This book also illustrates that uniform theory performs better than other indices such as entropy and Lyapunov exponent in chaos measurement by numerous examples. This book develops a new mathematical tool for studying chaos so it will be appealing to students and researchers interested in theory of chaos. It also has potential applications in various fields such as Engineering, Forestry and Ecology.

Book List

    Book Details:
  • Author :
  • Publisher :
  • Release : 1948
  • ISBN :
  • Pages : 564 pages

Download or read book List written by and published by . This book was released on 1948 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Probability Interpretation and the Statistical Transformation Theory  the Physical Interpretation  and the Empirical and Mathematical Foundations of Quantum Mechanics 1926   1932

Download or read book The Probability Interpretation and the Statistical Transformation Theory the Physical Interpretation and the Empirical and Mathematical Foundations of Quantum Mechanics 1926 1932 written by Jagdish Mehra and published by Springer Science & Business Media. This book was released on 2000-08-25 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Theory, together with the principles of special and general relativity, constitute a scientific revolution that has profoundly influenced the way in which we think about the universe and the fundamental forces that govern it. The Historical Development of Quantum Theory is a definitive historical study of that scientific work and the human struggles that accompanied it from the beginning. Drawing upon such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra's personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history of quantum theory in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process. The Historical Development of Quantum Theory is science, history, and biography, all wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.

Book Catalogue of Publications Issued by the Government of the United States

Download or read book Catalogue of Publications Issued by the Government of the United States written by United States. Superintendent of Documents and published by . This book was released on 1948 with total page 1334 pages. Available in PDF, EPUB and Kindle. Book excerpt: February issue includes Appendix entitled Directory of United States Government periodicals and subscription publications; September issue includes List of depository libraries; June and December issues include semiannual index

Book Handbook of Neural Computing Applications

Download or read book Handbook of Neural Computing Applications written by Alianna J. Maren and published by Academic Press. This book was released on 2014-05-10 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Neural Computing Applications is a collection of articles that deals with neural networks. Some papers review the biology of neural networks, their type and function (structure, dynamics, and learning) and compare a back-propagating perceptron with a Boltzmann machine, or a Hopfield network with a Brain-State-in-a-Box network. Other papers deal with specific neural network types, and also on selecting, configuring, and implementing neural networks. Other papers address specific applications including neurocontrol for the benefit of control engineers and for neural networks researchers. Other applications involve signal processing, spatio-temporal pattern recognition, medical diagnoses, fault diagnoses, robotics, business, data communications, data compression, and adaptive man-machine systems. One paper describes data compression and dimensionality reduction methods that have characteristics, such as high compression ratios to facilitate data storage, strong discrimination of novel data from baseline, rapid operation for software and hardware, as well as the ability to recognized loss of data during compression or reconstruction. The collection can prove helpful for programmers, computer engineers, computer technicians, and computer instructors dealing with many aspects of computers related to programming, hardware interface, networking, engineering or design.

Book Acoustic Resonance Scattering

Download or read book Acoustic Resonance Scattering written by Herbert Überall and published by CRC Press. This book was released on 1992 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: These 13 papers were part of a May 1989 symposium at the Catholic University of America, Washington, D.C., the home of much of the early theoretical and experimental work in acoustic resonance scattering. Topics include a historical survey of the development of the subject, a description of the MIIR and short- pulse methods, and new developments such as the derivation of exact acoustic background shells, application of the method of moments, and S-matrix product expansions. Annotation copyright by Book News, Inc., Portland, OR