This publication showcases the work of UK mathematicians and statisticians by describing industrial problems that have been successfully solved, together with a summary of the financial and/or societal impact that arose from the work. The articles are grouped by sector, and include contributions to climate modelling, engineering and health. The articles are based on Impact Case Studies that wer…
This book discusses how to combine type-2 fuzzy sets and graphical models to solve a range of real-world pattern recognition problems such as speech recognition, handwritten Chinese character recognition, topic modeling as well as human action recognition. It covers these recent developments while also providing a comprehensive introduction to the fields of type-2 fuzzy sets and graphical model…
Formal Languages and Automata Theory
This book reviews current knowledge of the etiopathogenesis, pathophysiology, and molecular biology of tympanic membrane retraction pockets and provides clear guidance on clinical assessment and treatment. A new diagnostic approach based on clinicoradiologic correlations is presented, and the ability of computer tomography to offer objective criteria for improved differentiation between stable …
A solution permitting the stabilization of 2-dimensional (2-D) continuous-time saturated system under state feedback control is presented in this book. The problems of delay and saturation are treated at the same time. The authors obtain novel results on continuous 2-D systems using the unidirectional Lyapunov function. The control synthesis and the saturation and delay conditions are presented…
This book examines how educational change has progressed in three contrasting areas spread across China since 1990, exploring key issues concerning rural education in poor, rich and minority areas. Of the three areas covered in this book, the first is a rich one near Beijing; the second is in the northwest in Shanxi on the Loess plateau; and the third is in Sichuan on the high plateau leading t…
This brief will explore topics in computer science through the lens of Two Bit Circus, an engineering entertainment company based out of downtown Los Angeles. This brief examines the ways they apply computer science to a wide variety of applications, including interactive games, immersive adventures, and virtual reality. The authors demonstrate how technology can encourage children and adults t…
Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control and in applied functional analysis. Two…
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and …
This book provides an overview of the confluence of ideas in Turing’s era and work and examines the impact of his work on mathematical logic and theoretical computer science. It combines contributions by well-known scientists on the history and philosophy of computability theory as well as on generalised Turing computability. By looking at the roots and at the philosophical and technical infl…