Probability Mechanics
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Probability And Schrodinger S Mechanics
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Author : David B Cook
language : en
Publisher: World Scientific
Release Date : 2002-12-26
Probability And Schrodinger S Mechanics written by David B Cook and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-26 with Science categories.
This book addresses some of the problems of interpreting Schrödinger's mechanics — the most complete and explicit theory falling under the umbrella of “quantum theory”. The outlook is materialist (“realist”) and stresses the development of Schrödinger's mechanics from classical theories and its close connections with (particularly) the Hamilton-Jacobi theory. Emphasis is placed on the concepts and use of the modern objective (measure-theoretic) probability theory. The work is free from any mention of the bearing of Schrödinger's mechanics on God, his alleged mind or, indeed, minds at all. The author has taken the naïve view that this mechanics is about the structure and dynamics of atomic and sub-atomic systems since he has been unable to trace any references to minds, consciousness or measurements in the foundations of the theory.
Probability And Mechanics Of Ship Collision And Grounding
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Author : Shengming Zhang
language : en
Publisher: Butterworth-Heinemann
Release Date : 2019-05-18
Probability And Mechanics Of Ship Collision And Grounding written by Shengming Zhang and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-18 with Technology & Engineering categories.
Probability and Mechanics of Ship Collision and Grounding provides simplified analytical procedures for ship collision and grounding assessments, including probabilistic methods, an estimation of the energy released during collisions, and a prediction of the extent of damage on involved structures. An additional chapter is dedicated to current finite element analysis techniques that are used for estimating structural damage during ship collisions. The book encapsulates reliable and fast analysis methods for collision and grounding assessment, presenting tactics that have been extensively validated with experimental and numerical results. In addition, all described analysis methods include realistic calculation examples to provide confidence in their use. - Provides mathematical expressions for the determination of probability of ship grounding events, ship to ship collisions and ship collisions against fixed and floating offshore installations, i.e., offshore wind parks and bridges over navigational channels - Provides analytical solutions to calculate the energy released for crushing in ship collision scenarios and loading on ship bottoms in grounding events - Reviews damage theorems and materials modellings and presents simplified analytical methods to determine the structural damage of ship and offshore structures in ship collisions and grounding - Provides calculation examples for each analysis method
Probability In Physics
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Author : Yemima Ben-Menahem
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-25
Probability In Physics written by Yemima Ben-Menahem and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Science categories.
What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.
Introduction To The Probability Theory
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Author : Taha Sochi
language : en
Publisher: Taha Sochi
Release Date : 2023-02-07
Introduction To The Probability Theory written by Taha Sochi and has been published by Taha Sochi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-07 with Mathematics categories.
This book is a collection of notes and solved problems about probability theory. The book also contains proposed exercises attached to the solved problems as well as computer codes (in C++ language) added to some of these problems for the purpose of calculation, test and simulation. Illustrations (such as figures and tables) are added when necessary or appropriate to enhance clarity and improve understanding. In most cases intuitive arguments and methods are used to make the notes and solutions natural and instinctive. Like my previous books, maximum clarity was one of the main objectives and criteria in determining the style of writing, presenting and structuring the book as well as selecting its contents. However, the reader should notice that the book, in most parts, does not go beyond the basic probability and hence most subjects are presented and treated at their basic level. Accordingly, modest mathematical background knowledge is required for understanding most of the contents of the book. In fact, the book in most parts requires no more than a college or secondary school level of general mathematics. So, the intended readers of the book are primarily college (or A-level) students as well as junior undergraduate students (e.g. in mathematics or science or engineering). An interesting feature of the book is that it is written and designed, in part, to address practical calculational issues (e.g. through sample codes and suggested methods of solution) and hence it is especially useful to those who are interested in the calculational applications of the probability theory. The book can be used as a text or as a reference for an introductory course on this subject and may also be used for general reading in mathematics. The book may also be adopted as a source of pedagogical materials which can supplement, for instance, tutorial sessions (e.g. in undergraduate courses on mathematics or science).
The Concept Of Probability
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Author : E.I. Bitsakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Concept Of Probability written by E.I. Bitsakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This volume contains articles from invited speakers at a meeting which took place in Delphi, during the week of October 12-16, 1987. The theme of the meeting was ''The concept of probability" and was organized by the "Group of Interdisciplinary Research" (Physics Department, University of Athens) and the Theoretical and Physical Chemistry Institute of the National Hellenic Research Foundation, Athens. (The Group ofInterdisciplinary Research organized two previous Meetings, 1) on the Concept of physical reality (1982) and 2) on the question of determinism in Physics (1984». This small gathering, which was attended by scientists, mathematicians and philosophers from more than 22 countries, took place on the occasion of the 100th year from the birthday of E.Schrodinger. As the father of wave-mechanics, Schrodinger thrushed us into an era of physics where knowledge of the lV-function is considered, for most situations, as the ultimate aim and the ultimate truth. Yet, he, as well as another towering figure of 20th century physics, A.Einstein, never really felt confortable with the interpretation of the meaning oflV and of the information that it contains. With Einstein playing the leading role a debate about concepts and interpretation started as soon as quantum mechanics was born. Central theme to this debate is the concept of probability, a concept which permeates-explicitly or implicitly-all science and even our decision making in everyday life. The articles cover a broad spectrum of thought and results -mathematical, physical, epistemological, experimental, specific, general,-many of them outside the accepted norm.
Probabilities In Physics
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Author : Claus Beisbart
language : en
Publisher: Oxford University Press, USA
Release Date : 2011-09-15
Probabilities In Physics written by Claus Beisbart and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Mathematics categories.
This volume provides a philosophical appraisal of probabilities in all of physics. It makes sense of probabilistic statements as they occur in the various physical theories and models and presents a plausible epistemology and metaphysics of probabilities.
The Art Of Probability
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Author : Richard W. Hamming
language : en
Publisher: CRC Press
Release Date : 2018-03-05
The Art Of Probability written by Richard W. Hamming and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-05 with Mathematics categories.
Offering accessible and nuanced coverage, Richard W. Hamming discusses theories of probability with unique clarity and depth. Topics covered include the basic philosophical assumptions, the nature of stochastic methods, and Shannon entropy. One of the best introductions to the topic, The Art of Probability is filled with unique insights and tricks worth knowing.
Handbook Of Dynamics And Probability
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Author : Peter Müller
language : en
Publisher: Springer Nature
Release Date : 2021-11-20
Handbook Of Dynamics And Probability written by Peter Müller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-20 with Science categories.
Our time is characterized by an explosive growth in the use of ever more complicated and sophisticated (computer) models. These models rely on dynamical systems theory for the interpretation of their results and on probability theory for the quantification of their uncertainties. A conscientious and intelligent use of these models requires that both these theories are properly understood. This book is to provide such understanding. It gives a unifying treatment of dynamical systems theory and probability theory. It covers the basic concepts and statements of these theories, their interrelations, and their applications to scientific reasoning and physics. The book stresses the underlying concepts and mathematical structures but is written in a simple and illuminating manner without sacrificing too much mathematical rigor. The book is aimed at students, post-docs, and researchers in the applied sciences who aspire to better understand the conceptual and mathematical underpinnings of the models that they use. Despite the peculiarities of any applied science, dynamics and probability are the common and indispensable tools in any modeling effort. The book is self-contained, with many technical aspects covered in appendices, but does require some basic knowledge in analysis, linear algebra, and physics. Peter Müller, now a professor emeritus at the University of Hawaii, has worked extensively on ocean and climate models and the foundations of complex system theories.
E T Jaynes
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Author : Edwin T. Jaynes
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-04-30
E T Jaynes written by Edwin T. Jaynes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-30 with Language Arts & Disciplines categories.
The first six chapters of this volume present the author's 'predictive' or information theoretic' approach to statistical mechanics, in which the basic probability distributions over microstates are obtained as distributions of maximum entropy (Le. , as distributions that are most non-committal with regard to missing information among all those satisfying the macroscopically given constraints). There is then no need to make additional assumptions of ergodicity or metric transitivity; the theory proceeds entirely by inference from macroscopic measurements and the underlying dynamical assumptions. Moreover, the method of maximizing the entropy is completely general and applies, in particular, to irreversible processes as well as to reversible ones. The next three chapters provide a broader framework - at once Bayesian and objective - for maximum entropy inference. The basic principles of inference, including the usual axioms of probability, are seen to rest on nothing more than requirements of consistency, above all, the requirement that in two problems where we have the same information we must assign the same probabilities. Thus, statistical mechanics is viewed as a branch of a general theory of inference, and the latter as an extension of the ordinary logic of consistency. Those who are familiar with the literature of statistics and statistical mechanics will recognize in both of these steps a genuine 'scientific revolution' - a complete reversal of earlier conceptions - and one of no small significance.
Probabilistic Fracture Mechanics And Fatigue Methods
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Author : J. M. Bloom
language : en
Publisher: ASTM International
Release Date : 1983
Probabilistic Fracture Mechanics And Fatigue Methods written by J. M. Bloom and has been published by ASTM International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Technology & Engineering categories.