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Kernel methods, with origins in the pioneering work of Mercer (1909), Bochner (1933), and Aronszajn (1950), have become central tools in modern mathematics and machine learning. This book explores their deep connections with approximation theory, highlighting both classical results and cutting-edge developments. Through clear explanations and illustrative examples, it guides readers from foundational concepts to contemporary applications, including computational methods and real-world problem solving. By bridging theory and practice, the text not only provides a rigorous understanding of kernels but also inspires further exploration and research. Suitable for students, researchers, and practitioners, it invites readers to engage with ongoing advances in this dynamic field and to contribute to its future growth.
The book examines how civil disputes are resolved in England and Wales, where courts, alternative dispute resolution (ADR), and digital technologies increasingly interact within a pluralist justice system. Part I analyses adjudicative processes-particularly litigation and arbitration-as mechanisms for delivering substantive justice. Part II explores consensual and hybrid approaches, including negotiation, mediation, and ombudsman schemes, focusing on their adaptability and emphasis on early settlement. Part III considers technological innovation, including Online Dispute Resolution, digital courts, and artificial intelligence, and how these developments are reshaping access to justice. Tracing the convergence of adjudicative, consensual, and digital processes, the book argues that technology is dissolving traditional boundaries between court-based and ADR methods. It advances a conceptual and practical framework for twenty-first-century civil dispute resolution, integrating doctrinal, comparative, and policy insights, and it positions justice, settlement, and technology as the core pillars of analysis and reform.
Broad in scope yet focused, scholarly yet written in an accessible and lucid manner, Providence, Evil and Salvation, perhaps uniquely, addresses key questions in contemporary theology from a broadly Thomist perspective: What is providence and how can it be squared with evil and suffering? What is sin? How can we construe a meaningful account of original sin in a post-Darwinian context? How does Christ address our self-inflicted alienation from God? How do we appropriate Christ's salvation through faith, hope, and love, and participation in the sacramental life? On the interface of historical and constructive-systematic theology, with a pastoral concern throughout, Rik Van Nieuwenhove offers both experts and readers who are not familiar with the thought of Thomas Aquinas a unique insight into his theology – and why it matters today, not just for scholarly debates but for how we should live our lives.
Highlighting the vibrancy and courage of women's contributions to the Romantic era's cultural politics, this History explores – from the perspective of women – the period's British incarnations to demonstrate how female accomplishment challenged secondary social status and initiated an early form of feminist protest and gender study. Separate chapters examine the media that women used – including (but not limited to) song, music, needlework, drawing, and empirical experimentation – and the range of venues and locales where they performed their gender identities and cultural assessments. While making space for writers, writing, and textual literacy, the History resists prevalent bias toward these media as agents of social transformation, prioritizing instead collective, improvisatorial, and embodied modes of creativity and protest. Recognizing the contested nature of both 'British Romanticism' and 'women' in today's critical discourse, this major work puts these two constructed entities into dialogue to explore the history and evolution of their creative critical interactions.
A celebrity in his own time, Handel remains popular with performers, music-lovers and scholars today. The specially commissioned contributions to this volume will enable students, teachers and concert-goers to better appreciate his music through a deeper understanding of the world in which he lived. The chapters focus on key aspects of the composer's career within the different social, political, cultural and musical contexts he experienced in Britain and Europe. They explore Handel's lifestyle and his personal and professional relationships; the various musical establishments for which he worked; the styles, practices and personnel that shaped his compositions; and the influence, reception and legacy of his music during and since his lifetime. Writing from a variety of perspectives, authors shed light on each topic while helping readers to navigate the breadth of recent scholarship. This book is an essential reference work for anybody studying Handel's music or that of his eighteenth-century contemporaries.
Artificial Intelligence (AI) is transforming the fight against financial crime, but how can it be deployed responsibly? In answer to that question, this book provides a comprehensive roadmap that integrates legal clarity, ethical guidance, and operational strategies on AI governance. Leveraging the EU's AI Act, national legal instruments and comparative insights, the book examines the challenges of AI governance and offers practical tools for bias mitigation, explainability, accountability, and risk management. The book's use of real-world case studies and contributions from academics and practitioners – including experts with law enforcement experience – enables scholars, students, and professionals in disciplines such as law, criminology, finance, and policing to bridge theory and practice. This makes it an indispensable resource for research, teaching, and professional training. Whether you are shaping policy, implementing compliance frameworks, or exploring AI's role in fighting financial crime, this book provides the roadmap you need to balance innovation and responsibility. This title is also available as open access on Cambridge Core.
Sixty years after their final collaboration Rodgers and Hammerstein remain central figures in the world of musical theatre, and their global influence continues to be felt. This Companion presents their iconic work for a new generation of students, teachers and fans, giving both historical context and new perspectives on the partners, the people with whom they collaborated, and the shows they created. A chapter is devoted to each musical, from Oklahoma! to The Sound of Music, providing key information about that work in both its staged and film versions, and analysis of its distinctive features including those that present challenges for practitioners, audiences and researchers today. The volume also introduces the early careers of both creators and Rodgers's work after Hammerstein's death. The contributions represent a variety of complementary disciplinary backgrounds that can serve as models for future study not just on Rodgers and Hammerstein but also on musical theatre more generally.
Not long ago, the dinner table was the heart of everyday family life, a place where everyone gathered after work or school to share their day over food. Today, instant messaging has become a new kind of virtual dinner table. Families move, live apart, and span generations, yet family talk continues-online. This fascinating book explores how contemporary families, including families-in-law, gather and connect in family chatrooms. Through the lens of Interactional Sociolinguistics 2.0, it shows how family members use not just language but also everyday photos and videos to build family talk, manage familial relationships, and shape family identity. Offering a detailed sociolinguistic and cultural account, it highlights three key phenomena that define family group chats: text-image-participant relations, multimodal displays of power and solidarity, and the interplay of frames and chronotopes. Together, these insights reveal how family talk continues to thrive in the digital age, beyond the dinner table.
This book comprises a unique collection of insights into Nobel laureate Giorgio Parisi's groundbreaking work across physics, ranging from high-energy physics and spin glasses to turbulence and collective animal behaviour. Originating from a series of seminars at the Sapienza University of Rome, each chapter focuses on one of Parisi's seminal contributions, penned by leading experts who highlight the depth and interdisciplinary impact of his ideas. The volume revisits widely disseminated achievements like the Altarelli-Parisi equations and replica symmetry breaking, and presents lesser-known work, revealing hidden connections between seemingly distant domains. Enhanced by lively discussions and a personal retrospective from Parisi himself, this book is both a tribute to a visionary scientist and an invitation to discover the unifying threads woven throughout modern physics. Showcasing how one thinker's creativity can reshape entire landscapes of knowledge, it is invaluable for experienced researchers and motivated graduate students in the field of theoretical physics.
The relationship between farming and the emergence cities is a key question in the archaeology of western Asia and Europe. In this study, Amy Bogaard explores how the earliest villages and cities were sustained through evolving agricultural strategies. Deploying the latest methods and evidence, she offers new approaches for predicting how settlement scale and density shaped agricultural practices, and for reconstructing farming methods as they evolved alongside urbanisation. Bogaard demonstrates how Neolithic farming took off with the integration of small-scale cultivation and herding, held together by the work and ownership claims of households. Urbanisation challenged resilient Neolithic farming practices, as early cities co-evolved with the expansion of low-input cereal monocultures. Nevertheless, diverse Neolithic farming traditions persisted in these urban landscapes, creating richer agroecologies and more sustainable cities. Bogaard's study offers exciting insights into how farming and cities emerged in the deep past, along with the theory, toolkit, and data necessary for building knowledge of ancient farming, and for reflecting on farming futures.
The first book in the English language to take a comparative look at the various roles played by all kinds of music and musicians in the fascist regimes of the twentieth century. It provides detailed overviews of musical life in Fascist Italy and Nazi Germany and identifies and challenges some of the stereotypes that became ingrained over the latter half of the twentieth century. Alongside comparative studies drawn from the German and Italian examples, the book presents case studies from a variety of regimes and situations. It analyses and compares numerous aspects of fascism (ideology, thought, practice, policy) in their interfaces with music and musicians across the twentieth century. Its broad range of topics expands the reader's horizons beyond a debate on 'music and totalitarianism' currently too often restricted to Stalinism on the one hand and Nazism on the other.
Climate change is disrupting humanity's most fundamental need: food. Are you ready for real solutions but frustrated by advice that feels dense, alarmist, or vague? Will We Go Hungry? cuts through the noise and moves beyond ideology – bridging the gap between high-tech solutions and regenerative approaches with evidence, not dogma. Drawing on decades of combined global experience in climate finance, marketing, and frugal innovation, the authors offer a clear-eyed analysis of both risks and opportunities. They translate complex science into actionable insights, weigh the pros, cons, and trade-offs of a full 'buffet' of solutions, and share real-world lessons from their acclaimed podcast. This is your guide to turning understanding into action. It will empower you to craft a resilient, tailored strategy that relies on ingenuity more than capital – and to galvanise your organisation to act with urgency.
American and British English in the twenty-first century are still divided by a common language. Now in its second edition, this highly readable guide provides an authoritative reference to English usage, covering the differences, and some emerging similarities, between British, American and international English. It has been thoroughly updated and expanded to document hundreds of variable points of usage for the benefit of British and American readers, and for those seeking international forms of English for written communication, as first- or second-language users. It discusses the current status of each usage item with quantitative evidence from the NOW (News on the Web) corpus and contemporary research. Lively examples of usage are provided to capture aspects of twenty-first century culture world-wide. It also discusses issues in the use of personal names and ethnic naming practices, as well as sexist and homophobic words, and person-centred words for those living with a disability.
Women working in physics navigate unique challenges that your male colleagues rarely have to consider. This practical, research-based guide will help you tackle the various issues you are likely to encounter during your education and career in academia or industry. With each chapter focusing on a specific problem, the guidance is presented in a question-and-answer format that allows you to navigate directly to the advice you need. Chapters address a broad range of challenges, from thriving as a student and interviewing for jobs to improving self-confidence and timing maternity leave. Focus is placed on immediate and practical advice with the intention of constructing a positive framework that helps you improve your circumstances in an imperfect environment. Enriched with advice and stories from a group of women physicists with diverse experiences, the book provides you with the necessary tools and support for continuing your journey with confidence.