Complex Analysis

Food products are complex in nature which makes their analysis difficult. Different scientific disciplines such as biochemistry, microbiology, and nutrition, together with engineering concepts are inv

Gramsci on Tahrir presents a close analysis of the complex dynamics of Egypt’s revolution and counter-revolution, showing how a Gramscian understanding of the revolutionary process can provide a power

The first study of its kind, Regional Variation in Written American English takes a corpus-based approach to map over one hundred grammatical alternation variables across the United States. A multivariate spatial analysis of these maps shows that grammatical alternation variables follow a relatively small number of common regional patterns in American English, which can be explained based on both linguistic and extra-linguistic factors. Based on this rigorous analysis of extensive data, Grieve identifies five primary modern American dialect regions, demonstrating that regional variation is far more pervasive and complex in natural language than is generally assumed. The wealth of maps and data, and the groundbreaking implications of this volume, make it essential reading for students and researchers in linguistics, English language, geography, computer science, sociology and communication studies.

This self-contained text develops a Markov chain approach that makes the rigorous analysis of a class of microscopic models that specify the dynamics of complex systems at the individual level possibl

An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.

Taking public space as her starting point, Amy Russell offers a fresh analysis of the ever-fluid public/private divide in Republican Rome. Built on the 'spatial turn' in Roman studies and incorporating textual and archaeological evidence, this book uncovers a rich variety of urban spaces. No space in Rome was solely or fully public. Some spaces were public but also political, sacred, or foreign; many apparently public spaces were saturated by the private, leaving grey areas and room for manipulation. Women, slaves, and non-citizens were broadly excluded from politics: how did they experience and help to shape its spaces? How did the building projects of Republican dynasts relate to the communal realm? From the Forum to the victory temples of the Campus Martius, culminating in Pompey's great theatre-portico-temple-garden-house complex, The Politics of Public Space in Republican Rome explores how space was marked, experienced, and defined by multiple actors and audiences.

On the 400th anniversary of Shakespeare's death, this collection opens up the social practices of commemoration to new research and analysis. An international team of leading scholars explores a broad spectrum of celebrations, showing how key events - such as the Easter Rising in Ireland, the Second Vatican Council of 1964 and the Great Exhibition of 1851 - drew on Shakespeare to express political agendas. In the USA, commemoration in 1864 counted on him to symbolise unity transcending the Civil War, while the First World War pulled the 1916 anniversary celebration into the war effort, enlisting Shakespeare as patriotic poet. The essays also consider how the dream of Shakespeare as a rural poet took shape in gardens, how cartoons challenged the poet's élite status and how statues of him mutated into advertisements for gin and Disney cartoons. Richly varied illustrations supplement these case studies of the diverse, complex and contradictory aims of memorialising Shakespeare.

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

This thesis presents an in-depth theoretical analysis of charge and spin transport properties in complex forms of disordered graphene. It relies on innovative real space computational methods of the t

In recent decades, international courts have increasingly started investigating armed conflicts. However, the impact of this remains under-researched. Patrick S. Wegner closes this gap via a comprehensive analysis of the impact of the International Criminal Court in the Darfur and Lord's Resistance Army conflicts. He offers a fresh approach to peace and conflict studies, while avoiding the current quantitative focus of the literature and polarisation between critics and supporters of applying justice in conflicts. This is the first time that the impact of an international criminal court has been analysed in all its facets in two conflicts. The consequences of these investigations are much more complex and difficult to predict than most of the existing literature suggests. Recurrent claims, such as the deterrent effect of trials and the danger of blocking negotiations by the issuing of arrest warrants, are put to the test here with some surprising results.

Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.

Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.

This book provides a comprehensive and up-to-date analysis of the complex conflict situation in Kashmir. Through an internal perspective, it charts the shift in the Kashmiri response towards the Centr

This book presents a complete, in-depth analysis for on the impact of liquid sulfur dioxide and liquid sulfur trioxide to carry out complex and difficult sulfonations, as well as manufacture of sulfur

Women, Reform, and Resistance, 1850-1950 documents the challenges faced by Irish women and their complex reactions. This interdisciplinary volume is the first sustained analysis of both reform and res

Numerical modeling and solution on digital computers is the only realistic approach to systems analysis and planning studies for a present day power system with its large size, complex and integrated

This authoritative treatment covers theory, optimal estimation and a range of practical applications. The first book on the subject, and written by leading researchers, this clear and rigorous work presents a comprehensive theory for both the stability boundary and the stability regions of a range of nonlinear dynamical systems including continuous, discrete, complex, two-time-scale and non-hyperbolic systems, illustrated with numerical examples. The authors also propose new concepts of quasi-stability region and of relevant stability regions and their complete characterisations. Optimal schemes for estimating stability regions of general nonlinear dynamical systems are also covered, and finally the authors describe and explain how the theory is applied in applications including direct methods for power system transient stability analysis, nonlinear optimisation for finding a set of high-quality optimal solutions, stabilisation of nonlinear systems, ecosystem dynamics, and immunisation

A comprehensive exposition of the theory and techniques of fault identification and decision theory when applied to complex systems‧ shows how modern computer analysis and diagnostic methods might be

An innovative history of the politics and practice of the Caribbean spiritual healing techniques known as obeah and their place in everyday life in the region. Spanning two centuries, the book results from extensive research on the development and implementation of anti-obeah legislation. It includes analysis of hundreds of prosecutions for obeah, and an account of the complex and multiple political meanings of obeah in Caribbean societies. Diana Paton moves beyond attempts to define and describe what obeah was, instead showing the political imperatives that often drove interpretations and discussions of it. She shows that representations of obeah were entangled with key moments in Caribbean history, from eighteenth-century slave rebellions to the formation of new nations after independence. Obeah was at the same time a crucial symbol of the Caribbean's alleged lack of modernity, a site of fear and anxiety, and a thoroughly modern and transnational practice of healing itself.

Explores the affective toll of Taiwan’s geographical and political proximity to China through a critical analysis of contemporary Taiwanese film and culture. It examines the complex, precarious relati

Explores the affective toll of Taiwan’s geographical and political proximity to China through a critical analysis of contemporary Taiwanese film and culture. It examines the complex, precarious relati

In this book Philip Bes summarizes the results of his PhD thesis (Catholic University of Leuven) on the analysis of production trends and complex, quantified distribution patterns of the principal tra

The conflict that ended in 1945 is often described as a 'total war', unprecedented in both scale and character. Volume 3 of The Cambridge History of the Second World War adopts a transnational approach to offer a comprehensive and global analysis of the war as an economic, social and cultural event. Across twenty-eight chapters and four key parts, the volume addresses complex themes such as the political economy of industrial war, the social practices of war, the moral economy of war and peace and the repercussions of catastrophic destruction. A team of nearly thirty leading historians together show how entire nations mobilized their economies and populations in the face of unimaginable violence, and how they dealt with the subsequent losses that followed. The volume concludes by considering the lasting impact of the conflict and the memory of war across different cultures of commemoration.

A Powerful Tool for the Analysis and Design of Complex Structural ElementsFinite-Element Modelling of Structural Concrete: Short-Term Static and Dynamic Loading Conditions presents a finite-element mo

Tintner provides a detailed analysis of the complex interplay between Wharton and Jameshow they influenced each other and how some of their writings operate as homages or personal jokes. So deeply was

One of the most complex doctrines in contemporary international law, jus cogens is the immediate product of the socialization of the international community following the Second World War. However, the doctrine resonates in a centuries-old legal tradition which constrains the dynamics of voluntarism that characterize conventional international law. To reconcile this modern iteration of individual-oriented public order norms with the traditionally state-based form of international law, Thomas Weatherall applies the idea of a social contract to structure the analysis of jus cogens into four areas: authority, sources, content and enforcement. The legal and political implications of this analysis give form to jus cogens as the product of interrelation across an individual-oriented normative framework, a state-based legal order, and values common to the international community as a whole.

Introduction to Atmospheric Modelling explores the power of mathematics to help us understand complex atmospheric phenomena through mathematical modelling. The author has thoughtfully chosen a path into and through the subject that gives the reader a glimpse of the dynamics underlying phenomena ranging from a sea breeze through mid-latitude cyclonic disturbances to Rossby waves, mainly through the lens of scaling analysis. Written for students with backgrounds in mathematics, physics and engineering, this book will be a valuable resource as they begin studying atmospheric science.

The mathematical theory of stochastic dynamics has become an important tool in the modeling of uncertainty in many complex biological, physical, and chemical systems and in engineering applications - for example, gene regulation systems, neuronal networks, geophysical flows, climate dynamics, chemical reaction systems, nanocomposites, and communication systems. It is now understood that these systems are often subject to random influences, which can significantly impact their evolution. This book serves as a concise introductory text on stochastic dynamics for applied mathematicians and scientists. Starting from the knowledge base typical for beginning graduate students in applied mathematics, it introduces the basic tools from probability and analysis and then develops for stochastic systems the properties traditionally calculated for deterministic systems. The book's final chapter opens the door to modeling in non-Gaussian situations, typical of many real-world applications. Rich wit

The mathematical theory of stochastic dynamics has become an important tool in the modeling of uncertainty in many complex biological, physical, and chemical systems and in engineering applications - for example, gene regulation systems, neuronal networks, geophysical flows, climate dynamics, chemical reaction systems, nanocomposites, and communication systems. It is now understood that these systems are often subject to random influences, which can significantly impact their evolution. This book serves as a concise introductory text on stochastic dynamics for applied mathematicians and scientists. Starting from the knowledge base typical for beginning graduate students in applied mathematics, it introduces the basic tools from probability and analysis and then develops for stochastic systems the properties traditionally calculated for deterministic systems. The book's final chapter opens the door to modeling in non-Gaussian situations, typical of many real-world applications. Rich wit

In Target-Centric Network Modeling: Case Studies in Analyzing Complex Intelligence Issues, authors Robert Clark and William Mitchell take an entirely new approach to teaching intelligence analysis. Un

This book sets out to disentangle the complex chronology of early Greek epic poetry, which includes Homer, Hesiod, hymns and catalogues. The preserved corpus of these texts is characterized by a rather uniform language and many recurring themes, thus making the establishment of chronological priorities a difficult task. The editors have brought together scholars working on these texts from both a linguistic and a literary perspective to address the problem. Some contributions offer statistical analysis of the linguistic material or linguistic analysis of subgenres within epic, others use a neoanalytical approach to the history of epic themes or otherwise seek to track the development and interrelationship of epic contents. All the contributors focus on the implications of their study for the dating of early epic poems relative to each other. Thus the book offers an overview of the current state of discussion.

Combining straightforward explanation with scholarly analysis, Law of Evidence introduces students to the full range of topics covered in law of evidence courses, with clarity and depth. Highlighting the context within which the law operates, the textbook maintains an engaging narrative with a strong practical focus. Integrated extracts from key judgments and statutes, as well as academic articles and books, lead students to develop a deeper understanding of the subject, and detailed commentary on these extracts helps students develop the ability to read and analyse case law effectively. Student learning is further supported by numerous visual aids, including diagrams, flowcharts and tables, which illustrate the relationships between principles and provisions and clarify the complex aspects of the law. A companion website with regular updates to the text ensures that students always have the most up-to-date coverage of the law at their fingertips.

Combining straightforward explanation with scholarly analysis, Law of Evidence introduces students to the full range of topics covered in law of evidence courses, with clarity and depth. Highlighting the context within which the law operates, the textbook maintains an engaging narrative with a strong practical focus. Integrated extracts from key judgments and statutes, as well as academic articles and books, lead students to develop a deeper understanding of the subject, and detailed commentary on these extracts helps students develop the ability to read and analyse case law effectively. Student learning is further supported by numerous visual aids, including diagrams, flowcharts and tables, which illustrate the relationships between principles and provisions and clarify the complex aspects of the law. A companion website with regular updates to the text ensures that students always have the most up-to-date coverage of the law at their fingertips.

This book offers a fresh approach to some of the most studied documents relating to Christian female asceticism in the Roman era. Focusing on the letters of advice to the women of the noble Anicia family, Kate Wilkinson argues that conventional descriptions of feminine modesty can reveal spaces of agency and self-formation in early Christian women's lives. She uses comparative data from contemporary ethnographic studies of Muslim, Hindu, and indigenous Pakistani women to draw out the possibilities inherent in codes of modesty. Her analysis also draws on performance studies for close readings of Ambrose, Augustine, Jerome and Pelagius. The book begins by locating itself within the complex terrain of feminist historiography, and then addresses three main modes of modest behavior - dress, domesticity and silence. Finally, it addresses the theme of false modesty and explores women's agency in light of Augustinian and Pelagian conceptions of choice.

Andrew Francis' Culture and Commerce in Conrad's Asian Fiction is the first book-length critical study of commerce in Conrad's work. It reveals not only the complex connections between culture and commerce in Conrad's Asian fiction, but also how he employed commerce in characterization, moral contexts, and his depiction of relations at a point of advanced European imperialism. Conrad's treatment of commerce - Arab, Chinese and Malay, as well as European - is explored within a historically specific context as intricate and resistant to traditional readings of commerce as simple and homogeneous. Through the analysis of both literary and non-literary sources, this book examines capitalism, colonialism and globalization within the commercial, political and social contexts of colonial Southeast Asia.

ASEAN has undertaken the complex task of creating a single economic entity for Southeast Asia by 2015 in the form of the ASEAN Economic Community (AEC), but without regulators or supranational institutions, its implementation has been an inconsistent process. Through comparisons with the EU and NAFTA, this book illustrates the shortcomings of the current system, enabling readers to understand both the potential of regional economic development in ASEAN and its foundational and institutional deficiencies. The authors' analysis of trade in goods and services, investment, and dispute resolution in the AEC indicates that without strong regional institutions, strong dispute resolution or a set of norms, full and effective implementation of the AEC is unlikely to result. The book offers clear solutions for the ASEAN institutions to help the AEC reach its full potential. Written by two leading practitioners, this insightful book will interest policymakers, students and researchers.

The electric utility industry in the US is technologically complex, and its structure as a classic network industry makes it intricate in business terms as well, so deregulation of such a complicated industry was a particularly detailed process. Steve Isser provides a detailed and comprehensive analysis of the history of the transformation of this complex industry from the 1978 Energy Policy Act to the present, covering the economic, legal, regulatory, and political issues and controversies in the transition from regulated utilities to competitive electricity markets. The book is a multidisciplinary study that includes a comprehensive review of the economic literature on electricity markets, the political environment of electricity policymaking, administrative and regulatory rulemaking, and the federal case law that restrained state and federal regulation of electricity. Isser offers a valuable case study of the pitfalls and problems associated with the deregulation of a complex networ

From Compton to Cairo, Bahia to Brixton, black women have been disproportionally affected by poverty, illiteracy, unemployment, discrimination and violence. Despite being one of the largest and geographically dispersed groups in the world, they are rarely referenced or considered as a subject of analysis in international law literature. Thus, it is vital that scholars refashion global discourse by re-conceptualizing international law and relations from their unique experiences and perspectives. This collection covers a broad range of topics and issues that examine the complex interactions - as subjects and objects - between black women and international law. The book critically explores the manifold relationship between them with a view toward highlighting the historic and contemporary ways in which they have influenced and been influenced by transnational law, doctrine, norms, jurisprudence, public policy, public discourse and global governance. It purports to unearth old law and fash

With the global population expected to reach nine billion by 2050, our capacity to provide enough food, water and energy relies on our understanding and management of the complex interdependencies in the climate-energy-water nexus. This book presents a comprehensive and up-to-date analysis of the interdependencies between these sectors and the knock-on consequences of those interactions for other sectors, such as food production and biodiversity conservation. The interdisciplinary nature of the book across the three sectors of climate, energy and water means that it will be valuable for advanced students, researchers and policymakers across a broad range of fields, including environmental/energy/water/climate policy, environmental economics, climate science, hydrology, ecology and geography.

This book is a logical analysis of genocidal intent, which analyzes the necessary theoretical framework needed to understand its complex structure.