The Sharp Solution

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Solutions

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Author : Wilhelm Ostwald
language : en
Publisher:
Release Date : 1891

Solutions written by Wilhelm Ostwald and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with Solution (Chemistry) categories.

Model Design And Simulation Analysis

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Author : Syng Yup Ohn
language : en
Publisher: Springer
Release Date : 2016-07-29

Model Design And Simulation Analysis written by Syng Yup Ohn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-29 with Computers categories.

This book constitutes the refereed proceedings of the 15th International Conference on Systems Simulation, Asia Simulation 2015, held in Jeju, Korea, in November 2016.The 11 revised full papers presented were carefully reviewed and selected from 126 submissions. The papers are organized in topical sections on model and design; simulation and analysis.

A Chord In Time The Evolution Of The Augmented Sixth From Monteverdi To Mahler

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Author : Mark Ellis
language : en
Publisher: Routledge
Release Date : 2017-07-05

A Chord In Time The Evolution Of The Augmented Sixth From Monteverdi To Mahler written by Mark Ellis and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Music categories.

For centuries, the augmented sixth sonority has fascinated composers and intrigued music analysts. Here, Dr Mark Ellis presents a series of musical examples illustrating the 'evolution' of the augmented sixth and the changing contexts in which it can be found. Surprisingly, the sonority emerged from one of the last remnants of modal counterpoint to survive into the tonal era: the Phrygian Cadence. In the Baroque period, the 'terrible dissonance' was nearly always associated with negative textual imagery. Charpentier described the augmented sixth as 'poignantly expressive'. J. S. Bach considered an occurrence of the chord in one of his forebear's motets 'remarkably bold'. During Bach's composing lifetime, the augmented sixth evolved from a relatively rare chromaticism to an almost commonplace element within the tonal spectrum; the chord reflects particular chronological and stylistic strata in his music. Theorists began cautiously to accept the chord, but its inversional possibilities proved particularly contentious, as commentaries by writers as diverse as Muffat, Marpurg and Rousseau reveal. During the eighteenth century, the augmented sixth became increasingly significant in instrumental repertoires - it was perhaps Vivaldi who first liberated the chord from its negative textual associations. By the later eighteenth century, the chord began to function almost as a 'signpost' to indicate important structural boundaries within sonata form. The chord did not, however, entirely lose its darker undertone: it signifies, for example, the theme of revenge in Mozart's Don Giovanni. Romantic composers uncovered far-reaching tonal ambiguities inherent in the augmented sixth. Chopin's Nocturnes often seem beguilingly simple, but the surface tranquillity masks the composer's strikingly original harmonic experiments. Wagner's much-analyzed 'Tristan Chord' resolves (according to some theorists) on an augmented sixth. In Tristan und Isolde, the chord's mercurial

Deep Learning Generalization

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Author : Liu Peng
language : en
Publisher: CRC Press
Release Date : 2025-09-12

Deep Learning Generalization written by Liu Peng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-12 with Computers categories.

This book provides a comprehensive exploration of generalization in deep learning, focusing on both theoretical foundations and practical strategies. It delves deeply into how machine learning models, particularly deep neural networks, achieve robust performance on unseen data. Key topics include balancing model complexity, addressing overfitting and underfitting, and understanding modern phenomena such as the double descent curve and implicit regularization. The book offers a holistic perspective by addressing the four critical components of model training: data, model architecture, objective functions, and optimization processes. It combines mathematical rigor with hands-on guidance, introducing practical implementation techniques using PyTorch to bridge the gap between theory and real-world applications. For instance, the book highlights how regularized deep learning models not only achieve better predictive performance but also assume a more compact and efficient parameter space. Structured to accommodate a progressive learning curve, the content spans foundational concepts like statistical learning theory to advanced topics like Neural Tangent Kernels and overparameterization paradoxes. By synthesizing classical and modern views of generalization, the book equips readers to develop a nuanced understanding of key concepts while mastering practical applications. For academics, the book serves as a definitive resource to solidify theoretical knowledge and explore cutting-edge research directions. For industry professionals, it provides actionable insights to enhance model performance systematically. Whether you're a beginner seeking foundational understanding or a practitioner exploring advanced methodologies, this book offers an indispensable guide to achieving robust generalization in deep learning.

Advanced Methods Of Joint Inversion And Fusion Of Multiphysics Data

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Author : Michael S. Zhdanov
language : en
Publisher: Springer Nature
Release Date : 2023-12-28

Advanced Methods Of Joint Inversion And Fusion Of Multiphysics Data written by Michael S. Zhdanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-28 with Science categories.

Different physical or geophysical methods provide information about distinctive physical properties of the objects, e.g., rock formations and mineralization. In many cases, this information is mutually complementary, which makes it natural for consideration in a joint inversion of the multiphysics data. Inversion of the observed data for a particular experiment is subject to considerable uncertainty and ambiguity. One productive approach to reducing uncertainty is to invert several types of data jointly. Nonuniqueness can also be reduced by incorporating additional information derived from available a priori knowledge about the target to reduce the search space for the solution. This additional information can be incorporated in the form of a joint inversion of multiphysics data. Generally established joint inversion methods, however, are inadequate for incorporating typical physical or geological complexity. For example, analytic, empirical, or statistical correlations between different physical properties may exist for only part of the model, and their specific form may be unknown. Features or structures that are present in the data of one physical method may not be present in the data generated by another physical method or may not be equally resolvable. This book presents and illustrates several advanced, new approaches to joint inversion and data fusion, which do not require a priori knowledge of specific empirical or statistical relationships between the different model parameters or their attributes. These approaches include the following novel methods, among others: 1) the Gramian method, which enforces the correlation between different parameters; 2) joint total variation functional or joint focusing stabilizers, e.g., minimum support and minimum gradient support constraints; 3) data fusion employing a joint minimum entropy stabilizer, which yields the simplest multiphysics solution that fits the multi-modal data. In addition, the book describes the principles of using artificial intelligence (AI) in solving multiphysics inverse problems. The book also presents in detail both the mathematical principles of these advanced approaches to joint inversion of multiphysics data and successful case histories of regional-scale and deposit-scale geophysical studies to illustrate their indicated advantages.

Compressed Sensing And Its Applications

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Author : Holger Boche
language : en
Publisher: Birkhäuser
Release Date : 2019-08-13

Compressed Sensing And Its Applications written by Holger Boche and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-13 with Mathematics categories.

The chapters in this volume highlight the state-of-the-art of compressed sensing and are based on talks given at the third international MATHEON conference on the same topic, held from December 4-8, 2017 at the Technical University in Berlin. In addition to methods in compressed sensing, chapters provide insights into cutting edge applications of deep learning in data science, highlighting the overlapping ideas and methods that connect the fields of compressed sensing and deep learning. Specific topics covered include: Quantized compressed sensing Classification Machine learning Oracle inequalities Non-convex optimization Image reconstruction Statistical learning theory This volume will be a valuable resource for graduate students and researchers in the areas of mathematics, computer science, and engineering, as well as other applied scientists exploring potential applications of compressed sensing.

Nonlinear Programming And Variational Inequality Problems

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Author : Michael Patriksson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Nonlinear Programming And Variational Inequality Problems written by Michael Patriksson 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 2013-06-29 with Mathematics categories.

Since I started working in the area of nonlinear programming and, later on, variational inequality problems, I have frequently been surprised to find that many algorithms, however scattered in numerous journals, monographs and books, and described rather differently, are closely related to each other. This book is meant to help the reader understand and relate algorithms to each other in some intuitive fashion, and represents, in this respect, a consolidation of the field. The framework of algorithms presented in this book is called Cost Approxi mation. (The preface of the Ph.D. thesis [Pat93d] explains the background to the work that lead to the thesis, and ultimately to this book.) It describes, for a given formulation of a variational inequality or nonlinear programming problem, an algorithm by means of approximating mappings and problems, a principle for the update of the iteration points, and a merit function which guides and monitors the convergence of the algorithm. One purpose of this book is to offer this framework as an intuitively appeal ing tool for describing an algorithm. One of the advantages of the framework, or any reasonable framework for that matter, is that two algorithms may be easily related and compared through its use. This framework is particular in that it covers a vast number of methods, while still being fairly detailed; the level of abstraction is in fact the same as that of the original problem statement.

Water In Crystalline Hydrates Aqueous Solutions Of Simple Nonelectrolytes

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Author : Felix Franks
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18

Water In Crystalline Hydrates Aqueous Solutions Of Simple Nonelectrolytes written by Felix Franks 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 2013-04-18 with Science categories.

vi the information collected and discussed in this volume may help toward the achievement of such an objective. I should like to express my debt of gratitude to the authors who have contributed to this volume. Editing a work of this nature can strain long established personal relationships and I thank my various colleagues for bearing with me and responding (sooner or later) to one or several letters or telephone calls. My special thanks once again go to Mrs. Joyce Johnson, who bore the main brunt of this seemingly endless correspondence and without whose help the editorial and referencing work would have taken several years. F. FRANKS Biophysics Division Unilever Research Laboratory Colworth/ Welwyn Colworth House, Sharnbrook, Bedford January, 1973 Contents Contents of Volume 1 ............................. . . . . . .. . . .. xv Contents of Volume 3 ........................ '. . . . . . . . . . . . xvi . . . . Contents of Volume 4 . . . . . . . . . . . . . . . . . . . . . . . . .. . . . xvii . . . . . . . . . . . Chapter 1 The Solvent Properties of Water F. Franks 1. Water, the Universal Solvent-the Study of Aqueous Solutions 2. Aqueous Solutions of Nonelectrolytes ................. . 5 2.1. Apolar Solutes ................................. . 6 2.2. Polar Solutes .................................. . 19 2.3. Ionic Solutes Containing Alkyl Residues-"Apolar Electrolytes" ................................... . 38 3. Aqueous Solutions of Electrolytes .................... . 42 3.1. Single Ion Properties ............................ . 42 3.2. Ion-Water Interactions ......................... . 43 3.3. Interionic Effects ............................... . 47 4. Complex Aqueous Mixtures 48 Chapter 2 Water in Stoichiometric Hydrates M. Falk and O. Knop 1. Introduction. . . . . .. . . . . . . . . . . . . . . . . . . . . . . 55 . . . . . . . . . . . . . 2. Symmetry and Types of Environment of the H0 Molecule 2 in Crystals .......................................... 57 vii Contents viii 2.1. Site Symmetry. . . . . . . . . . . . . . . . . . . . . . . . . 57 . . . . . . . . . .

The Chemical News

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Author :
language : en
Publisher:
Release Date : 1879

The Chemical News written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1879 with Chemistry categories.

A Handbook Of Local Therapeutics

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Author : Harrison Allen
language : en
Publisher:
Release Date : 1893

A Handbook Of Local Therapeutics written by Harrison Allen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Therapeutics categories.