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This chapter explores the written and material evidence for civilian quartering of Roman troops in late antiquity. The civic duties to extend hospitium or hospitalitas are reconstructed from the Republic until the late Roman Empire, focusing on the period between the fourth century ce and mid-sixth century ce. By looking at the literary evidence for housing troops in civilian homes penned in the Republic and early Principate, the convention of using moralizing rhetoric to describe soldiers quartered in cities is established. This classicizing rhetoric is then used to reframe later allegations concerning the effects of Constantine’s alleged movement of frontier troops into cities. This reconsideration of the extant evidence for Roman troop quartering questions and amends how we should write the lived experiences of civilians living in late Roman cities.
This chapter explores the impact of warfare on North African communities and their built environment during Late Antiquity (fourth to sixth century). While the political upheavals, internal conflicts, and the invasions that shaped the region during this period have been extensively studied, the local effects and responses to these challenges remain underexplored. Drawing on selected case studies, this work combines archaeological and textual evidence to examine and compare the actions taken by local communities and their rulers – the Western Roman Empire, the Vandal Kingdom, and the Eastern Roman Empire – in response to ongoing conflict. From the centenaria of Tripolitania and the fortified estates of Byzacena and Proconsularis to the fortifications built under Justinian’s regime and its successors, this chapter highlights the role of warfare and its consequences in reshaping the provincial landscapes of North Africa, offering new insights into the region’s social and physical transformation during this period.
This article advances four arguments about Constantine’s Roman Arch (315). First, it posits that its imagery and inscription endeavored to please a single viewer: the emperor Constantine. That argument narrows the interpretative possibilities regarding its meaning. From presumed anonymous observers of differing faiths, the field narrows to a single imperial viewer, a recent convert to Christianity and a victor in a civil war. Second, the lens of civil war illuminates previously unrecognized Augustan rhetorical and visual tropes that guided the Arch’s makers in legitimating the monument and Constantine’s victory against Maxentius. Third, the article uncovers Christian connotations in the arch’s inscription. Fourth, the neglected Christian subtext opens the possibility for identifying the Arch and the Colossus next to it as the first openly Christian imperial monuments in Rome. The article therefore demonstrates the syncretism of traditional imperial rhetoric and insignia with Christian ideas long before traditionally assumed.
In Rome, being taken as a prisoner of war had dramatic repercussions for the condition of the individual and their family. Captured citizens became a slave to the enemy, or servus hostium, and were excluded from the body politic. However, they could regain freedom and civil rights through redemption. Initially, that was the responsibility of their family, but over time laws regulated the ransoming of prisoners of war, and other actors became involved. This chapter first reviews the Republican Age and the High Empire before addressing the ransoming of captives in Late Antiquity. It discusses individuals and large groups, with ransom paid by families, the emperor, or by bishops. It shows that social status determined the fate of women. According to Justinian’s Digest, a woman freed by a victorious army was considered free or married, and not a slave. According to Ulpian, that principle also applied when a woman was redeemed (redempta) rather than freed.
Violence – by which I mean an intentional rupture of the physical integrity of a body – is a reminder that a human being is always also a thing. Whatever else late ancient humans may have been, they were always subject to the possibility of physical rupture, perforation, tear, or break, as is the nature of things. War was, and is, a stylized method of maneuvering one group of rupturable things toward the infliction of greater disintegration on another group of rupturable things. “The main purpose and outcome of war,” Elaine Scarry writes, “is injuring.” That the things injured are also people, with their own sensations and experiences, pasts and hoped-for futures, is the point of war; it is how war persuades injured people and other onlookers to accept its outcomes. War confronts persons with their reducibility, their thingness, and asks them to accept conditions imposed by the victors in the light of that bodily thingness. The essays in this volume present us with a variety of ways of thinking about this ugly practice. They describe how different late ancient people made sense of what was happening when bodies were ruptured, or bodies threatened to rupture other bodies, on a large scale. In this Epilogue, I bring some of the ideas in this volume together to consider the problem of ruptured bodies in Late Antiquity as a series of questions about how late ancient people imagined or experienced physical thingness in warfare.
Spanning elementary, algebraic, and analytic approaches, this book provides an introductory overview of essential themes in number theory. Designed for mathematics students, it progresses from undergraduate-accessible material requiring only basic abstract algebra to graduate-level topics demanding familiarity with algebra and complex analysis. The first part covers classical themes: congruences, quadratic reciprocity, partitions, cryptographic applications, and continued fractions with connections to quadratic Diophantine equations. The second part introduces key algebraic tools, including Noetherian and Dedekind rings, then develops the finiteness of class groups in number fields and the analytic class number formula. It also examines quadratic fields and binary quadratic forms, presenting reduction theory for both definite and indefinite cases. The final section focuses on analytic methods: L-series, primes in arithmetic progressions, and the Riemann zeta function. It addresses the Prime Number Theorem and explicit formulas of von Mangoldt and Riemann, equipping students with foundational knowledge across number theory's major branches.
This accessible text, now in its second edition, explains the key principles of transmission lines using straightforward mathematics, extensive illustrations and practical worked examples. The early chapters use a lossless equivalent circuit to derive the basic theory, demonstrating how pulses and sine waves perform in simple transmission line circuits. Later chapters develop this model by demonstrating the derivation of circuit parameters, and the use of Maxwell's equations to extend this theory to major transmission lines. The second edition has been revised and expanded to emphasise the role of electromagnetic waves and photons in all transmission lines, providing valuable insight into the fundamental physics. New topics include sine waves in the time domain, multiple junctions, and attenuation in the presence of standing waves. Covering DC to optical frequencies, this book is an invaluable resource for students, researchers and professionals in electrical, microwave and optical engineering as well as applied physics.
Sovereign Heritage Crime: Security, Autocracy, and the Material Past explores why autocracies intentionally exacerbate anxieties associated with an aggrieved ethnoterritorial minority's tangible heritage. Since discriminatory domestic campaigns of state-sponsored erasure are political choices, this theoretical study proposes to understand them as sovereign heritage crimes. This framework predicts that heritage securitisation - constructing disquieting material memories into ontological threats - enables legitimacy-deficient yet affluent autocracies to pursue 'performance legitimacy' by delivering a real or imagined 'permanent security'. Since this state crime is both enabled and exposed by traditional and emerging technologies, the study also explores their dual use for human rights and wrongs. This title is also available as open access on Cambridge Core.
Drawing on critical insights from the history of emotion and Shakespearean emotion studies, this Element offers a pedagogy rooted in a historicist approach as a stimulating alternative to the teaching of Shakespeare's emotions as universally and transhistorically relatable. It seeks to provide a roadmap – by way of contextual and analytical frameworks and suggested learning activities – for teaching students how to mind the gap between Shakespeare's emotional moment and their own. The benefits to this approach include not only students' enhanced understanding of Shakespeare's plays in the context of early modern emotion culture but also their enhanced ability to think historically and critically about emotions, both in Shakespeare's day and now.
Clergy formed a distinct and privileged group in later medieval society as regarded violent crime. Church law was intended to protect them from it, induce them to avoid it, and exempt them from secular justice following it. But in practice, were the clergy so separate from the violent culture around them and different from the laymen who dominated it? In the first full-length study of this subject in the later medieval period, Peter Clarke shows that clergy accused of violent and other crimes increasingly submitted to secular justice like laymen, seeking clerical immunity only as a last resort. It reveals that church authorities, in providing legal redress for clerical victims of lay violence, sought to heal divisions between laity and clergy, not to deepen them. Additionally, it explores the motives and contexts behind clerical involvement in violent crime, both as perpetrators and victims, revealing that clergy often acted similarly to laymen.
This Element traces the history of Shakespearean bibliography from its earliest days to the present. With an emphasis on how we enumerate and find scholarship about Shakespeare, this Element argues that understanding bibliographies is foundational to how we research Shakespeare. From early modern catalogs of Shakespeare plays, to early bibliographers such as Albert Cohn (1827–1905) and William Jaggard (1868–1947), to present-day digital projects such as the online World Shakespeare Bibliography, this Element underscores how the taxonomic organization, ambit, and media of enumerative Shakespearean bibliography projects directly impact how scholars value and can use these resources. Ultimately, this Element asks us to rethink our assumptions about Shakespearean bibliography by foregrounding the labor, collaboration, technological innovations, and critical decisions that go into creating and sustaining bibliographies at all stages. This title is also available as Open Access on Cambridge Core.
Monetary policy implementation refers to the mechanism for interbank payments, the set of administered interest rates, and the strategy for central bank actions designed to achieve an intermediate monetary policy goal – for example a target for an overnight nominal interest rate. This piece shows the implications of the Poole model – a common framework used to articulate ideas about monetary policy implementation – for corridor and floor systems of monetary policy implementation. A general equilibrium Poole-type dynamic model is also studied, which shows where Poole-type analysis can go wrong. Given current interest in how large central bank balance sheets and floor systems matter, the author also analyzes a general equilibrium model of quantitative easing and discusses issues with quantitative easing and monetary policy.
Over the past few decades, graph theory has developed into one of the central areas of modern mathematics, with close (and growing) connections to areas of pure mathematics such as number theory, probability theory, algebra and geometry, as well as to applied areas such as the theory of networks, machine learning, statistical physics, and biology. It is a young and vibrant area, with several major breakthroughs having occurred in just the past few years. This book offers the reader a gentle introduction to the fundamental concepts and techniques of graph theory, covering classical topics such as matchings, colourings and connectivity, alongside the modern and vibrant areas of extremal graph theory, Ramsey theory, and random graphs. The focus throughout is on beautiful questions, ideas and proofs, and on illustrating simple but powerful techniques, such as the probabilistic method, that should be part of every young mathematician's toolkit.
Stillbirth, especially unpredicted losses in the antepartum period defined as intrauterine fetal demise after twenty weeks gestation, remains sadly a too common event during pregnancy. Dr. Gandhi and Professor Reddy detail the epidemiology and review the impact of proactive interventions both in preparation for and during pregnancy to lower stillbirth rates. The clinical management of a pregnancy affected by this tragedy. The authors address a growing understanding of causes seen clinically and those unseen (e.g. genetic abnormalities, viral infection, fetal hypoxia in a normally grown fetus, etc). The detailed approach to stillbirth during the index pregnancy seeks to maximize the discovery of the underlying causes to provide solace to the grieving family and to prepare for any additions to prenatal care for any subsequent pregnancies.
This Element aims to provide evidence-based, research-informed applications of translanguaging pedagogies across various multilingual classroom contexts. By offering both theoretical implications and specific examples of translanguaging in action, the Element aims to help educators to implement translanguaging pedagogy that challenges monolingual norms in educational institutions. The Element also explores new theoretical notions derived from translanguaging, such as translanguaging sub-spaces, transpositioning, transknowledging, transmodalities, transculturing, transbordering, transsemiotising, and transprogramming. Additionally, it critically examines various methodological approaches for researching translanguaging in classroom settings, proposing a combination of Multimodal Conversation Analysis and Interpretative Phenomenological Analysis to capture the complexity of classroom translanguaging practices. This Element concludes by asserting that adopting a translanguaging perspective is an ethical and pedagogical imperative, providing the essential theoretical and methodological frameworks for creating equitable, inclusive, and transformative multilingual learning environments.
This Element examines Tian Qinxin (1969– ), one of the most prominent theatre directors in contemporary China, and her significant contribution to the development of mainstream Chinese theatre in the 21st century. Since her debut productions in the late 1990s, Tian has cultivated a distinctive directorial style, marked by a syncretic fusion of Western and traditional Chinese theatrical elements. While she has worked across a variety of genres, her primary focus has been on stage adaptations. Adaptation is not only a defining feature of her theatrical practice but also a central aspect of her professional life, where shifting political and cultural contexts necessitate her “performance” of various expressions of both femininity and masculinity. Tian's remarkable adaptability enables her to skillfully navigate the evolving landscape of Chinese theatre, the demands of state cultural policy, and the requirements of the commercial theatre sector.
Criminal Law Perspectives: From Principles to Practice provides a comprehensive and accessible introduction to criminal law for undergraduate and postgraduate students. It takes a comparative approach to the law, focusing on New South Wales, Victoria, the Australian Capital Territory and the Commonwealth Criminal Code, as well as the South Australian jurisdiction. Now in its second edition, Criminal Law Perspectives maintains its logical structure and clear explanations of complex concepts. It has been updated to include major developments in the law, including affirmative consent reforms, the criminalisation of coercive control and industrial manslaughter offences. Comprehensive jurisdictional extracts and relevant case examples are used to illustrate key principles of criminal law explored throughout the book. Students are encouraged to reflect and develop their problem-solving skills by engaging with the various features in each chapter, including review questions, case questions, hints and tips, and long-form end-of-chapter problem questions.
This volume serves as an introduction to the principles and applications of analytical chemistry to archaeological materials. Accessible to students without a comprehensive background in chemistry, it will enable them to draw meaningful interpretations from analytical data in order to facilitate a deeper understanding of the beliefs of people in the distant past. The second edition has been thoroughly revised to include the cutting-edge developments in analytical chemistry that have occurred over the last two decades. It offers a detailed explanation of the principles behind the analytical techniques, allowing archaeologists to appreciate the strengths and limitations of data generated through analysis of archaeological objects. The volume also includes interdisciplinary perspectives, showing how the interaction between a range of disciplines enables a deeper understanding of human behaviour and beliefs in the past. Importantly, the book provides basic information on laboratory procedures and safety that fosters an understanding of the practicalities of laboratory science.