The Ancient Ways of Wessex tells the story of Wessex’s roads in the early medieval period, at the point at which they first emerge in the historical record. This is the age of the Anglo-Saxons and an era that witnessed the rise of a kingdom that was taken to the very brink of defeat by the Viking invasions of the ninth century. It is a period that goes on to become one within which we can trace the beginnings of the political entity we have come to know today as England. In a series of ten detailed case studies the reader is invited to consider historical and archaeological evidence, alongside topographic information and ancient place-names, in the reconstruction of the networks of routeways and communications that served the people and places of the Anglo-Saxon kingdom of Wessex. Whether you were a peasant, pilgrim, drover, trader, warrior, bishop, king or queen, travel would have been fundamental to life in the early middle ages and this book explores the physical means by which the landscape was constituted to facilitate and improve the movement of people, goods and ideas from the seventh through to the eleventh centuries. What emerges is a dynamic web of interconnecting routeways serving multiple functions and one, perhaps, even busier than that in our own working countryside. A narrative of transition, one of both of continuity and change, provides a fresh and alternative window into the everyday workings of an early medieval landscape through the pathways trodden over a millennium ago.
During World War Two Britain had to look to the land to provide the produce it had previously shipped in from abroad, meaning huge changes on both the agricultural and domestic scenes. Accompanying an 8-part BBC series and written by the three presenters who spend a year living on a reconstructed farm from the era, Wartime Farm sets these changes within a historical context and looks at the day-to-day life of that time. Exploring a fascinating chapter in Britain's recent history, we see how our predecessors lived and thrived in difficult conditions with extreme frugality and ingenuity. From growing your own vegetables and keeping chickens in the back yard, to having to 'make do and mend', many of the challenges faced by wartime Britons have resonance today. Fascinating historical detail and atmospheric story-telling make this a truly compelling read.
The Book of the Farm, written by the 19th-century farming expert Henry Stephens, was the indispensable farming 'bible' referred to by the historians living and working on the BBC series Victorian Farm. This brand new version has been fully revised and edited by Alex Langlands, who starred on the programme, to bring its timeless wisdom to a fresh audience. Beautifully illustrated throughout with both black-and-white and colour illustrations, the book is a complete guide to the farming year, from planting thorn hedges in winter to pulling up potatoes in autumn. Along the way it gives fascinating information about every aspect of farming, from sheep shearing to bringing in the harvest, and practical instructions for skills such as cheese- making, animal husbandry, sheepdog training and other traditional country pastimes. Although farming has changed irrevocably since the 19th century, there are some aspects that remain timeless, and this exquisite book is a nostalgic celebration of our rural past.
In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.
This volume offers a broad introduction to one of the most exciting chapters of Late Antiquity through direct testimony from one of the last representatives of Roman Antiquity, Ausonius of Bordeaux, and his radical Christian protégé, the populist bishop and experimental poet Paulinus of Nola. The first comprehensive volume in English dedicated to these works in over a century, this book also offers representative selections from Paulinus’ vast poetic output, from the publicly performed poems that mark his contribution to the emerging cult of the saints to his experimental Christianization of a wide range of Classical genres. Preceded by a substantial introduction discussing the modern significance of these works and their original contexts, the translation is accompanied by running notes for ease of reference and an interpretive commentary rich with illustrative parallels. Taken together, the correspondence with Ausonius and the selections from Paulinus epitomize the personal, political, and spiritual conflicts of their age, offering a lively and concentrated introduction to the life and thought of these two underappreciated contemporaries of Jerome and Augustine. Accompanied by new and provocative interpretations with detailed but concise historical and biographical guidance, this accessible and stylish translation will appeal to scholars and students of Classics, Late Antiquity, religious studies, social history, and world literature.
In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.
The Book of the Farm, written by the 19th-century farming expert Henry Stephens, was the indispensable farming 'bible' referred to by the historians living and working on the BBC series Victorian Farm. This brand new version has been fully revised and edited by Alex Langlands, who starred on the programme, to bring its timeless wisdom to a fresh audience. Beautifully illustrated throughout with both black-and-white and colour illustrations, the book is a complete guide to the farming year, from planting thorn hedges in winter to pulling up potatoes in autumn. Along the way it gives fascinating information about every aspect of farming, from sheep shearing to bringing in the harvest, and practical instructions for skills such as cheese- making, animal husbandry, sheepdog training and other traditional country pastimes. Although farming has changed irrevocably since the 19th century, there are some aspects that remain timeless, and this exquisite book is a nostalgic celebration of our rural past.
Victim and benefactor of consumer capitalism, Alex Thorne documents his depraved and self-indulgent agony on his way to personal fulfilment. Beginning in his small home town in the north of England, Alex journeys to Palestine, the squat scene in Mancheste
A rich layering of motive and emotion . . . robust dialogue, streetwise humour and muscular, mischievous vernaculour" Independent Set on the streets of Brixton, south London, BRENTON BROWN is a fatal love story about a man who never got over his first love, a perfect love with his half-sister Juliet that has left him unable to form any real relationships since they both decided it must end. "Wheatle's dialogue sings" Guardian Juliet is consumed by guilt because she knows that her half-brother, Brenton, grew up in children's homes with no family to speak of, while she received all her mother's love. She has a career with good prospects in politics, and has married Clayton, a successful banker, to please her mother. He treats her daughter, Breanna, like his own - but secretly he has always suspected that there has been something going on between Juliet and Brenton. Unable to let go physically or emotionally, Brenton takes the advice of his longstanding friend Floyd, and decides to start a new life in another country. When their good intentions fail, Juliet and Brenton must pay the ultimate price. A story about family ties, forbidden love and life, BRENTON BROWN is shot through with robust humour, unforgettable characters, unerringly pitched dialogue and towering emotion.
Contrary to common intuition that all digits should occur randomly with equal chances in real data, empirical examinations consistently show that not all digits are created equal, but rather that low digits such as {1, 2, 3} occur much more frequently than high digits such as {7, 8, 9} in almost all data types, such as those relating to geology, chemistry, astronomy, physics, and engineering, as well as in accounting, financial, econometrics, and demographics data sets. This intriguing digital phenomenon is known as Benford's Law.This book gives a comprehensive and in-depth account of all the theoretical aspects, results, causes and explanations of Benford's Law, with a strong emphasis on the connection to real-life data and the physical manifestation of the law. In addition to such a bird's eye view of the digital phenomenon, the conceptual distinctions between digits, numbers, and quantities are explored; leading to the key finding that the phenomenon is actually quantitative in nature; originating from the fact that in extreme generality, nature creates many small quantities but very few big quantities, corroborating the motto 'small is beautiful', and that therefore all this is applicable just as well to data written in the ancient Roman, Mayan, Egyptian, and other digit-less civilizations.Fraudsters are typically not aware of this digital pattern and tend to invent numbers with approximately equal digital frequencies. The digital analyst can easily check reported data for compliance with this digital law, enabling the detection of tax evasion, Ponzi schemes, and other financial scams. The forensic fraud detection section in this book is written in a very concise and reader-friendly style; gathering all known methods and standards in the accounting and auditing industry; summarizing and fusing them into a singular coherent whole; and can be understood without deep knowledge in statistical theory or advanced mathematics. In addition, a digital algorithm is presented, enabling the auditor to detect fraud even when the sophisticated cheater is aware of the law and invents numbers accordingly. The algorithm employs a subtle inner digital pattern within the Benford's pattern itself. This newly discovered pattern is deemed to be nearly universal, being even more prevalent than the Benford phenomenon, as it is found in all random data sets, Benford as well as non-Benford types.
The theory of vertex operator algebras is a remarkably rich new mathematical field which captures the algebraic content of conformal field theory in physics. Ideas leading up to this theory appeared in physics as part of statistical mechanics and string theory. In mathematics, the axiomatic definitions crystallized in the work of Borcherds and in Vertex Operator Algebras and the Monster, by Frenkel, Lepowsky, and Meurman. The structure of monodromies of intertwining operators for modules of vertex operator algebras yield braid group representations and leads to natural generalizations of vertex operator algebras, such as superalgebras and para-algebras. Many examples of vertex operator algebras and their generalizations are related to constructions in classical representation theory and shed new light on the classical theory. This book accomplishes several goals. The authors provide an explicit spinor construction, using only Clifford algebras, of a vertex operator superalgebra structure on the direct sum of the basic and vector modules for the affine Kac-Moody algebra Dn(1). They also review and extend Chevalley's spinor construction of the 24-dimensional commutative nonassociative algebraic structure and triality on the direct sum of the three 8-dimensional D4-modules. Vertex operator para-algebras, introduced and developed independently in this book and by Dong and Lepowsky, are related to one-dimensional representations of the braid group. The authors also provide a unified approach to the Chevalley, Greiss, and E8 algebras and explain some of their similarities. A Third goal is to provide a purely spinor construction of the exceptional affine Lie algebra E8(1), a natural continuation of previous work on spinor and oscillator constructions of the classical affine Lie algebras. These constructions should easily extend to include the rest of the exceptional affine Lie algebras. The final objective is to develop an inductive technique of construction which could be applied to the Monster vertex operator algebra. Directed at mathematicians and physicists, this book should be accessible to graduate students with some background in finite-dimensional Lie algebras and their representations. Although some experience with affine Kac-Moody algebras would be useful, a summary of the relevant parts of that theory is included. This book shows how the concepts and techniques of Lie theory can be generalized to yield the algebraic structures associated with conformal field theory. The careful reader will also gain a detailed knowledge of how the spinor construction of classical triality lifts to the affine algebras and plays an important role in the spinor construction of vertex operator algebras, modules, and intertwining operators with nontrivial monodromies.
Are you looking for a journey that will take you through this amazing obok, along with funny comments and a word puzzle? Then this book is for you. Whether you are looking at this book for curiosity, choices, options, or just for fun; this book fits any criteria. Writing this book did not happen quickly. It is thorough look at accuracy and foundation before the book was even started. This book was created to inform, entertain and maybe even test your knowledge. By the time you finish reading this book you will want to share it with others.
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