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Sahoo T: Flexural Gravity Waves

Flexural Gravity Waves

The Mathematical Theory and Applications

While the field of Deep Learning has been advancing at frightening speeds during the last ten years, we do not have a plausible theoretical explanation of its success yet. One can safely say that Deep Learning works, but nobody really understands why. Nevertheless, starting around five years before now, a decent number of theoretical papers specifically concerning neural nets started to emerge at top machine learning venues. This makes us think that the core of Deep Learning theory has already started to crystallize.The goal of the present book is to present these core concepts of Deep Learning theory to readers so that they could directly dive into recent papers of this area. For this purpose, each chapter elaborates a simple model or a classical result in details first and then discusses possible generalizations and more recent developments of the same idea.We have to warn the reader that the present book is not a mathematical manuscript. Not all results here are stated as formal theorems and not all theorems are provided with complete and rigorous proofs. Many of the theorems of the book are proven up to some technical lemmas, while for some there is only a proof sketch. This conforms with the main idea of the book: present and illustrate concepts rather than reproduce all the results.The book, in its present form, covers the following topics: uniform generalization bounds, PAC-bayesian generalization bounds, double descent phenomena, infinitely-wide networks, implicit bias of gradient descent, loss landscape, gradient descent convergence guarantees, and initialization strategies.

Elements Of Deep Learning Theory

Following the importance of understanding and asssessing geotechnical hazards, vulnerability and risk, new concepts and techniques of reliability analysis have been developed in the last 20 years. Though widely accepted, application has been slow. This book introduces basic principles and methods of geotechnical risk and reliability and demonstrates their relevance for improved understanding, more effective strategies and better problem-solving skills. Attention is given to the latest developments in the application to geotechnical problems and how reliability analysis and assessment of hazard and risk along with suitable observational approaches can facilitate the management of risk.

Geotechnical Risk and Reliability, an Introduction

ICOLD Bulletins Series

Recommendations for Operation, Maintenance and Rehabilitation

Series in Materials Science and Engineering

This book provides an introduction to the geometrical and topological methods that have become essential tools for soft condensed matter physicists. The emphasis is on providing mathematical tools in clear but precise language, focusing on fundamental concepts using real examples to illustrate for readers in vivid, three-dimensional fashion. The motivation is clearly provided using problems from soft condensed matter, from the packing of colloids to liquid crystals and thermal fluctuations of lipid membranes.

Geometry and Topology of Soft Materials

Fluidization Processes - Design and Operation

Line design is a very specialized field involving spatial constraints, high performance conductors, lightning protection, cable vibrations, digital terrain surveying, Fiber optic communication wires along with some exciting software developments over the past two decades. This book will cover electrical and mechanical characteristics associated with high-voltage transmission lines, selection of conductors, line layout, thermal ratings, plan and profile drawing among other things. Structures are only one component of a transmission line; as such, this book will form a companion volume to the book on structures and foundations.

Line and System Modeling

Design of Electrical Transmission Lines

Transportation Infrastructure: A Practical Guide t o Planning, Designing, and Monitoring Secure and R esilient Critical Structures

This book aims to provide the background knowledge, necessary tools, and guidelines for rationalized and consistent engineering approaches to design and construction in and on jointed and faulted rock. Three avenues will be exploited to that effect: mechanics, empiricism and analysis (including numerical analysis). The text will be permeated with informative and illustrated case records from the authors' total of 40 countries sphere of experience. Solutions of every-day problems will be interspersed with experiences from the longest tunnel, the widest cavern, the highest dam, the site of the largest underground power house, and the problems with the deepest TBM tunnels.

Engineering in Jointed and Faulted Rock

Construction Law in the United Arab Emirates and the Gulf

This graduate textbook and professional guide introduces system identification methods of SHM. Both parametric and non-parametric methods are formulated in the time or frequency domain. It also covers state and parameter identification, identifying behavior beyond the elastic region, and non-stationarity. Along with Python code.

A Primer

Structural System Identification and Health Monitoring

Rules of Thumb for Pipes and Pipelines

This book covers complex analysis (the study of boundary behaviors of analytic functions) and its applications with engineering problems, especially control theory from the viewpoint of boundary functions. The metascience part is rather unique and illustrates a metascientific way of thinking engineering problems by examples of batteries which are cores of electric vehicles.This book gives a way of looking at the phenomena from a higher and brighter point of view through the windows of boundary behavior and metascience. In Chapter 1 which is meant for mathematics-oriented readers, we state materials in standard complex analysis with emphasis on similarity and Laurent expansions. Non-mathematical readers can also benefit by browsing through many examples and worked-out exercises. Chapter 2 gives some concrete examples of invoking novel ideas in the heap of stereo-typed contributions to a field. Possible replacement of LIB by ECaSS(R) is a typical example through which the reader can learn basics of electromagnetism and electrochemistry. The book also provides hints for a deeper understanding of environmental problems as well as how to manage and create a sustainable society.

From Complex Analysis To Metascience: A Stroll Around Boundary Behavior, Similarity And Duality

Flexural Gravity Waves

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