Machine learning has become a cornerstone of modern data-driven science and technology. For mathematics students and researchers, understanding the mathematical foundations behind machine learning is essential, even if they never work directly with real-world datasets.This book provides a rigorous yet accessible introduction to the core mathematical ideas that underpin machine learning. Topics such as linear and nonlinear regression, regularization techniques, and the fundamentals ...

Taiwan’s modern legal system--quite different from those of both traditional China and the People’s Republic--has evolved since the advent of Japanese rule in 1895. Japan has gradually adopted Western law during the 19th-century and when it occupied Taiwan--a frontier society composed of Han Chinese settlers--its codes were instituted for the purpose of rapidly assimilating the Taiwanese people into Japanese society.Tay-sheng Wang’s comprehensive study lays a solid foundation for f...

This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The...

This book explores the hydrogen integration in energy systems from a whole system optimisation perspective. The book introduces new modelling, optimisation, and reliability evaluation approaches that support the net zero transition.Global warming has been witnessed in the past few decades—as caused by the emission of greenhouse gases, such as carbon dioxide, it not only affects the habitat of animals but also threatens the lives of mankind in modern societies. Around the world, res...

Time is an important factor in physical and natural sciences. It characterizes the progress of chemical and biochemical processes. Mass spectrometry provides the means to study molecular structures by detecting gas-phase ions with the unique mass-to-charge ratios. Time-resolved mass spectrometry (TRMS) allows one to differentiate between chemical states that can be observed sequentially at different time points. Real-time mass spectrometric monitoring enables recording data continuously wi...

This book describes the basic concepts and principles of classical mechanics in the intermediate level. Given the perspective that different mechanical problems require an appropriate approach drawn from various methods or principles, a textbook discussing multiple methods or principles in mechanics is highly desirable. Additionally, a good textbook should include historical context on the motivation and the development of the methods or principles, allowing students to gain insights that ...

This book focuses on the risk modeling, analysis and control of multi-energy systems considering cross-sectorial failure propagation. Both models and methods have been addressed with engineering practice. This is accomplished by doing a thorough investigation into the modeling of system physics and reliabilities in both long- and short-term phases. Different models and methods to evaluate the risk of multi-energy systems considering various disturbances, e.g., component failures, load unce...

Connected vehicles and intelligent vehicles have been identified as key technologies for increasing road safety and transport efficiency. This book presents and discusss the recent advances in theory and practice in connected vehicle systems. It covers emerging research that aims at dealing with the challenges in designing the essential functional components of connected vehicles. Major topics include intra- and inter-vehicle communications, mobility model of fleet and ramp merging, trace ...

This work covers sequence-based protein homology detection, a fundamental and challenging bioinformatics problem with a variety of real-world applications. The text first surveys a few popular homology detection methods, such as Position-Specific Scoring Matrix (PSSM) and Hidden Markov Model (HMM) based methods, and then describes a novel Markov Random Fields (MRF) based method developed by the authors. MRF-based methods are much more sensitive than HMM- and PSSM-based methods for remote h...

Chinese Explored Asia Long Before the Europeans: An Ancient World Map Tells All is the fruit of the author's research into the history of exploration prior to the European Age of Discovery. This book analyses thoroughly the Asian regions of an important ancient world map: Kunyu Wanguo Quantu (KWQ) (坤舆万国全图), translated as 'Complete Geographical Map of All the Kingdoms of the World'. The map was published in 1602 by Italian Jesuit priest Matteo Ricci in China. For over 400 years, the map has...

This book attempts to establish a new theoretical framework to analyze the intrinsic patterns of economic growth, structural transformation, and the shift of economic momentum in the digital economy era. The book provides a detailed discussion on the interactions between the old and new economic sectors (the limitless and limited sectors), the migration of labor and capital between different sectors, as well as the accumulation of knowledge capital, such as data, technology, and creativity...

This is a book that is destined to be controversial and will be a book that stands up to criticism. The ideas of economics discussed in this book are almost completely different from what one usually sees in economics, with different starting points, different perspectives, different depths, and different conclusions. Yet the ideas here, after being discussed with such depth and clarity, are so obvious that one can hardly doubt their validity.In this book, many new concepts have be...