This book presents the comprehensive results of experimental and numerical investigations of glass façade breakage behavior under fire conditions. First of all, full-scale frame and point-supported glass façades, incorporating single, double and coated glazing, were tested under pool fire conductions. The results determined the effects of different glass frames, types of glass, and thermal shocks on breakage behavior. Small-scale tests, using the Material Testing System (MTS) 810, Netzsch ...

Site characterization is indispensable to good geotechnical or rock engineering practice as every site is unique, but technical, budget, time, or access constraints typically result in only a tiny fraction of the underground soil and rock in a site being visually inspected, sampled, or tested. This leads to a long- lasting challenge of sparse measurements in geo- sciences and engineering. This book introduces Bayesian compressive sensing or sampling (BCS) as a highly efficient spatial data...

Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even i...

This textbook presents measure theory in a concise yet clear manner, providing readers with a solid foundation in the mathematical axiomatic system of probability theory. Unlike elementary probability theory, which deals with random events through specific examples of random trials, Foundations of Probability Theory offers a comprehensive mathematical framework for rigorous descriptions of these events.As a result, this course embodies all the characteristics of mathematical theori...

Corresponding to the link of Itô's stochastic differential equations (SDEs) and linear parabolic equations, distribution dependent SDEs (DDSDEs) characterize nonlinear Fokker–Planck equations. This type of SDEs is named after McKean–Vlasov due to the pioneering work of H P McKean (1966), where an expectation dependent SDE is proposed to characterize nonlinear PDEs for Maxwellian gas. Moreover, by using the propagation of chaos for Kac particle systems, weak solutions of DDSDEs are construc...

In this book the author presents a self-contained account of Harnack inequalities and applications for the semigroup of solutions to stochastic partial and delayed differential equations. Since the semigroup refers to Fokker-Planck equations on infinite-dimensional spaces, the Harnack inequalities the author investigates are dimension-free. This is an essentially different point from the above mentioned classical Harnack inequalities. Moreover, the main tool in the study is a new coupling ...

Our Mandarin Chinese language course is designed to help learners of all levels master the language and start to build fluency. Whether you're a beginner looking to get started with the basics, or a more advanced learner looking to refine your skills, our course has something for everyone.Our experienced instructors will guide you through all the essential elements of the language, starting with a detail and comprehensive approach to Mandarin pronunciation, then introducing broadly...

This book is intended as a reference book for advanced graduate students and research engineers in block-in-matrix rocks (bimrocks) or soil and rock mixtures (SRMs) or rock and soil aggregate (RSA). Bimrocks are complex formations characterized by competent rock inclusions floating in a weaker matrix. Typical types of bimrocks include a series of mixed geological or engineering masses such as mélanges, fault rocks, coarse pyroclastic rocks, breccias, sheared serpentines, and waste dump mix...

This book presents a comprehensive analysis of stability, stabilization, and fault detection in networked control systems, with a focus on unmanned marine vehicles. It investigates the challenges of network-based control in areas like heading control, fault detection filter and controller design, dynamic positioning, and cooperative target tracking. Communication networks in control systems can induce delays and dropouts, so the book presents the importance of stability analysis, stabilize...

This textbook covers the essentials for successfully conducting online discussions in various course delivery formats, such as online, face-to-face, and blended. Readers will learn how to design online discussions to cognitively engage students, build meaningful discourse communities to promote group dynamics, apply just-in-time facilitation strategies to deepen student learning and utilize robust assessment to ensure learning objectives are achieved.Online discussion is the lifeli...

This landmark work lauds the benefits of decreased energy consumption, investigating its relationship to public policy and analyzing its potential billion-dollar benefits to the U.S. economy.U.S. consumers tend to use energy indiscriminately—something they may no longer be able to do with impunity. This game-changing book asserts that reducing energy consumption should be a frontline strategy to address global climate change, threats to energy security, and the cha...

This book provides a comprehensive and systematic introduction to inverse problems for stochastic partial differential equations (SPDEs), with particular emphasis on stochastic parabolic and hyperbolic equations. It addresses both the unique challenges and new opportunities that arise in the stochastic setting. Key topics include inverse state problems (such as determining unknown initial conditions) and inverse source problems (identifying unknown source terms), with a focus on the mathem...