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Rajapakse R: Transportation Highway
Engineering Calculations and Rules of T

Transportation Highway Engineering Calculations and Rules of Thumb

Theory and Practice and Design Examples

This monograph is devoted to the recently developed thermostatted kinetic theory and its application to the modeling of complex systems in a variety of fields. In the first part, the frameworks of the theory, which are obtained by coupling the kinetic theory for active particles with the thermostats coming from non-equilibrium statistical mechanics (Gaussian isokinetic thermostat), are presented. Among the theoretical results discussed are existence and uniqueness of the solution of the different mathematical frameworks, existence and uniqueness of the nonequilibrium stationary state, convergence to the nonequilibrium stationary state, derivation of macroscopic equations by asymptotic limits, and the construction of solutions to inverse problems based on the thermostatted kinetic theory. The second part deals with the derivation of mathematical models for nonequilibrium complex systems. Among those described within this new framework are immune systems and competition with tumors, keloid formation and therapy, dynamics of train crowds, modeling of a smart grid composed by different energy sources, and financial markets.

Thermostatted Kinectic Theory Approach, The: Theory, Inverse Problems, And Models

The Control of Multiple Unmanned Aerial Vehicles

Event-Driven State Estimation for Stochastic Networked Systems

This book covers a broad range of questions related to the importance of cell geometry in many areas, including nuclear positioning, chromosome dynamics, cytoskeletal remodeling, tissue patterning, cell-matrix and multicellular contacts. It also addresses medical implications, from its implication in the development of tumors to its role in fibrosis. Together, the chapters in this book will highlight current knowledge and modern approaches to investigating the biophysical design principles underlying key biological functions, with the overall goal of elucidating the connections between cell geometry and nuclear mechanics.

This book covers a broad range of questions related to the importance of cell geometry in many areas, including nuclear positioning, chromosome dynamics, cytoskeletal remodeling, tissue patterning, cell-matrix and multicellular contacts. It also addresses medical implications, from its implication in the development of tumors to its role in fibrosis. Together, the chapters in this book will highlight current knowledge and modern approaches to investigating the biophysical design principles underlying key biological functions, with the overall goal of elucidating the connections between cell geometry and nuclear mechanics.

Cell Geometry

Strategic guide for implementing and developing digital twin products, with real-world case studies from different industries Infrastructure Digital Twins is an instructive and practical guide that offers tools on incorporating digital twins into existing processes, illustrated by real-world case studies across diverse sectors. Emphasizing the intersections of digital twin technology, sustainability, and cutting-edge software inventions, this book uncovers the potential to accelerate the global journey toward carbon neutrality and the United Nations Sustainable Development Goals. Written by a an esteemed author, Infrastructure Digital Twins approaches the topic by discussing: <ul> <li>Ground-breaking applications of digital twin technology demonstrated through real-world examples in transportation, construction, aviation, manufacturing, and healthcare sectors, bringing to light the transformative potential of emerging tech in these industries. </li> <li>Advantages offered by the confluence of digital twin technology and modern software engineering tools, including generative Artificial Intelligence (AI), enhanced interoperability and sophisticated relationship mapping between static and dynamic entities. </li> <li>Advanced semantics to leverage AI and data analytics, thus enabling accurate predictions of future scenarios, illuminating the path towards smarter, sustainable cities and infrastructure.</li> <li>Current challenges and future solutions for digital twin adoption in sustainable asset maintenance and management, focusing on innovative strategies to seamlessly develop digital twin products </li></ul>Diving into a subject of growing significance across industries, Infrastructure Digital Twins serves as an essential guide for practicing professionals and executive engineering leaders. It is also applicable for technologists and entrepreneurs, as well as it can serve as a textbook for graduate-level courses focusing on digital twin applications, machine learning, and the emerging landscape of tech innovation in infrastructure sustainability.

Applications in Engineering, Aviation, and Facilities Management

Infrastructure Digital Twins

Recent Advances in Hemodynamics and Blood Mimetics is a comprehensive compilation of recent developments in biofluid mechanics and biomimetics, covering topics such as numerical modeling, biomedical applications of microfluidics, biomimetic flows, biomedicine applications, and organ-on-chip technology. The book explores blood hemodynamics at different scales, including application to diseases, the relationship between blood biomechanics and rheology, the mimetization of blood properties at arterial and capillary level, including the study of blood mechanical and flow properties, flow and surface properties of blood cells, and mimetization of these same properties in fluid/particle systems. These concepts are applied to the development of organ-on-chip to improve the replication of biological processes in the human body. The book organizes recent knowledge on hemodynamics and blood mimetics and is representative of the different lines of research in the field, showing an integrated view of blood biomechanics encompassing all scales to create a valuable resource where different research lines can be found and their principles understood.

Recent Advances in Hemodynamics and Blood Mimetics

Chapman and Hall/CRC Financial Mathematics Series

Handbook of Sustainable Mathematical Finance

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

Intelligent Manufacturing and Industrial Engineering

Smart Industries in the Gig Economy: Scope, Opportunities, and Challenges discusses topics from manufacturing to service sectors, from startups to established corporations, and from localized operations to global networks using the threads of Smart Industries and the Gig Economy to weave a tapestry of innovation and change.

This book revolves around the Gig Economy and its multifaceted implications. It takes a broad view by examining the opportunities and challenges posed by the interplay between Smart Industries and the Gig Economy. Smart Industries in the Gig Economy: Scope, Opportunities, and Challenges discusses topics from manufacturing to service sectors, from startups to established corporations, and from localized operations to global networks using the threads of Smart Industries and the Gig Economy to weave a tapestry of innovation and change. It provides a panoramic view of Smart Industries in the context of the Gig Economy and emphasizes the recent cutting-edge technologies like Robotics, Artificial Intelligence, the Internet of things, Quantum Technology, Semiconductors, Additive Manufacturing, etc. The book focuses on the intervention of the Gig Economy in major cutting-edge technologies of the global industrial revolution working towards automation and its impact on enhancing smart industries. Written as a reference for students, scholars, lecturers, researchers, scientists, experts, specialists, and engineers, this book represents an area of significant interest and importance in the realm of smart industries and the Gig Economy.

Scope, Opportunities, and Challenges

Smart Industries in the Gig Economy

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

Scaling (zooming in or out) is taking a close or distant view of an object. Infinite scaling (the scaling parameter tends to zero or infinity) may lead to a limit which is self-similar and much simpler than the original object. For instance, the classical Donsker's theorem says that all weakly dependent stationary processes with finite variance scale to Brownian motion at large scales. In the case of a random field indexed by two-dimensional parameter, both types of scaling can be anisotropic, meaning that the horizontal and vertical axes are scaled at different rate determined by the ratio γ&gt;0 of the scaling exponents along the axes. The natural questions under such scaling are whether the scaling limits exist for any γ&gt;0, and what are these limits are. The book tries to answer these questions. It introduces the concept of scaling transition and discusses its existence for a natural class of planar random fields including Gaussian, linear and some nonlinear ones. The scaling limits are identified and exhibit a surprising trichitomy at a critical point γ0, with 'unbalanced' limits having unusual path properties and dependence structure along one of the coordinate axes. Scaling transition occurs in applied sciences (telecommunications and econometrics) when aggregating independent processes with long-range dependence in which case 'unbalanced' limits are classical Gaussian or stable random fields.

Anisotropic Scaling Of Random Fields With Long-range Dependence: Scaling Limits Of Random Fields With Applications

De Gruyter Series in Applied and Numerical Mathematics

Advanced Computational Approaches for Rarefied Flows

Beyond Navier-Stokes

Transportation Highway Engineering Calculations and Rules of Thumb

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