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Ultra Poincar?e chaos and alpha labeling :a new approach to chaotic dynamics /
"Version: 20241101"--Title page verso.Includes bibliographical references.part I. Introduction. 1. Historical and philosophical overview -- 1.1. Outline -- 1.2. A new mathematical structure -- 1.3. Alpha labels in spiraled hierarchy of mathematical structures -- 1.4. Universality and minimalism of alpha labeling and unpredictability -- 1.5. Principle of excessiveness : the Universe approximates…
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- ISBN/ISSN
- 9780750351621
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- 1 online resource (various pagings) :illustrations (some color).
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Analytical evaluation of uncertainty propagation for probabilistic design opt…
"Version: 202306"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Uncertainty propagation -- 2.1. Averaging methods for estimating the measurand in nonlinear models -- 2.2. First-order linearisation and the normality assumption -- 2.3. The Monte Carlo method -- 2.4. The use of a mathematical representation of the probability density function -- 2.5. Uncertainty evalu…
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- ISBN/ISSN
- 9780750349314
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- 1 online resource (various pagings) :illustrations (some color).
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Forecasting with maximum entropy :the interface between physics, biology, eco…
"Version: 20221201"--Title page verso.Includes bibliographical references.1. Entropy as missing information : from Shannon's information theory to Jaynes' maximum entropy principle -- 1.1. Information and its processing in biology, economics and physics -- 1.2. Uncertainty in communication systems : Shannon entropy -- 1.3. Entropy as missing information -- 1.4. Working with incomplete informati…
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- ISBN/ISSN
- 9780750339315
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- 1 online resource (various pagings) :illustrations (some color).
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Domain structured dynamics :unpredictability, chaos, randomness, fractals, di…
"Version: 202108"--Title page verso.Includes bibliographical references.part I. Introduction. 1. What this book is about -- 1.1. Unpredictability -- 1.2. Domain structured dynamics -- 1.3. Random processes -- 1.4. Abstract fractals -- 1.5. Differential equations -- 1.6. Neural networkspart II. Chaos and fractals. 2. Unpredictability implies chaos -- 2.1. Unpredictability in dynamics -- 2.2. Unp…
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- ISBN/ISSN
- 9780750335072
- Collation
- 1 online resource (various pagings) :illustrations (some color).
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Introduction to the mathematical physics of nonlinear waves /
"Version: 202110"--Title page verso.Includes bibliographical references.7. Toda's lattice of correlation potentials -- 7.1. The Toda soliton lattice -- 7.2. Developing nonlinearity -- 7.3. Conversion to Korteweg-deVries' lattice potential8. Scattering theory of the soliton lattice -- 8.1. Elemental waves -- 8.2. Scattering theory : dissipation, reflection, and transmission -- 8.3. Method of inv…
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- Second edition.
- ISBN/ISSN
- 9780750337595
- Collation
- 1 online resource (various pagings) :illustrations.
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Computational methods using MATLAB :an introduction for physicists /
"Version: 202203"--Title page verso.Includes bibliographical references.10. Partial differential equations -- 10.1. Partial differential equations in physics -- 10.2. Finite difference method for solving ordinary differential equations -- 10.3. Finite difference method for solving PDEs -- 10.4. A finite difference method for PDEs involving both spatial and temporal derivatives11. Nonlinear dyna…
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- ISBN/ISSN
- 9780750337915
- Collation
- 1 online resource (various pagings) :illustrations (some color).
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Simulation of complex systems /
"Version: 202112"--Title page verso.Includes bibliographical references.1. Molecular dynamics -- 1.1. Single particle -- 1.2. Time reversibility -- 1.3. Multiple particles -- 1.4. Randomness -- 1.5. Further reading -- 1.6. Problems -- 1.7. Challenges2. Ising model -- 2.1. Monte Carlo method -- 2.2. Ising model -- 2.3. Critical temperature -- 2.4. Critical mixtures -- 2.5. Further reading -- 2.6…
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- ISBN/ISSN
- 9780750338431
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- 1 online resource (various pagings) :illustrations (some color).
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Quantitative finance /
"Version: 20170101"--Title page verso.Includes bibliographical references (pages 16-17).Introduction -- Background -- Current directions -- Outlook.Quantitative finance is a field that has risen to prominence over the last few decades. It encompasses the complex models and calculations that value financial contracts, particularly those which reference events in the future, and apply probabiliti…
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- ISBN/ISSN
- 9780750313681
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- 1 online resource (x, 17 pages) :color illustrations.
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Rotation, reflection, and frame changes :orthogonal tensors in computational …
"Version: 20180401"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Notation and tensor analysis essentials -- 2.1. Linear fractional transform -- 2.2. Visualizing rotations3. Orthogonal basis and coordinate transformations -- 3.1. Superimposed rotations -- 3.2. Basis rotations4. Rotation operations -- 4.1. Why apparent inconsistency in placement of the negative sign…
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- ISBN/ISSN
- 9780750314541
- Collation
- 1 online resource (various pagings) :color illustrations.
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Singularities in physics and engineering :properties, methods, and applicatio…
"Version: 20181101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Singularity -- 1.2. Singularities in science and engineering -- 1.3. Acoustic vortex -- 1.4. Singularities in optics -- 1.5. Amplitude, phase and polarization -- 1.6. Brief historical account of optical phase singularities2. Topological features -- 2.1. Introduction -- 2.2. Wavefront shape -- 2.3. …
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- ISBN/ISSN
- 9780750316989
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- 1 online resource (various pagings) :illustrations (some color).
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