This book adds to the debate on the effects of covenants on third-party creditors (externalities), which have recently become a focus of discussion in the contexts of bankruptcy law, corporate law and corporate governance. The general thrust of the debate is that negative effects on third-party creditors predominate because banks act in their own self-interest. After systematising the debated potential positive and negative externalities of covenants, the book empirically examines these externalities: It investigates the banks’ factual conduct and its effects on third-party creditors in Germany and the US. The study’s most significant outcome is that it disproves the assumption that banks disregard third-party creditors’ interests. These findings are then interpreted with the tools of economic analysis; particularly, with the concept of common pool resources (CPRs). Around the aggregated value of the debtor company’s asset pool (as CPR) exists an n-person prisoner’s dilemma between banks and third-party creditors: No creditor knows when and under what conditions the other creditor will appropriate funds from the debtor company’s asset pool. This coordination problem is traditionally addressed by means of bankruptcy law and collaterals. However, the incentive structure that surrounds the bilateral private governance system created by covenants and an event of default clause (a CPR private governance system) is found to also be capable of tackling this problem. Moreover, the interaction between the different regulation spheres – bankruptcy law, collateral and the CPR private governance system − has important implications for both the aforementioned discussions as well as the legal treatment of covenants and event of default clauses. Covenants alone cannot be seen as an alternative to institutional regulation; the complete CPR private governance system and its interaction with institutional regulation must also be taken into consideration. In addition, their function must first find more acceptance and respect in the legal treatment of covenants and event of default clauses: The CPR private governance system fills a gap in the regulation of the tragedy of the commons by bankruptcy law and collateral. This has particularly important implications for the German § 138 BGB, § 826 BGB and ad hoc duties to disclose insider information.
This volume contains the proceedings of the International Conference on Group Theory, Combinatorics and Computing held from October 3-8, 2012, in Boca Raton, Florida. The papers cover a number of areas in group theory and combinatorics. Topics include finite simple groups, groups acting on structured sets, varieties of algebras, classification of groups generated by 3-state automata over a 2-letter alphabet, new methods for construction of codes and designs, groups with constraints on the derived subgroups of its subgroups, graphs related to conjugacy classes in groups, and lexicographical configurations. Application of computer algebra programs is incorporated in several of the papers. This volume includes expository articles on finite coverings of loops, semigroups and groups, and on the application of algebraic structures in the theory of communications. This volume is a valuable resource for researchers and graduate students working in group theory and combinatorics. The articles provide excellent examples of the interplay between the two areas.
This book fills this gap and provides an essential resource for academics and researchers with an interest in cinematic representations of the family and transnational cinema.
It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement into an observable classical event. Beyond the conceptual differences, quantum and classical physics have a lot in common. And, more important, there are classical and quantum phenomena that are similar although they occur in completely different contexts. For example, the Schrödinger equation has the same mathematical form as the Helmholtz equation, there is an uncertainty relation in optics very similar to that in quantum mechanics, and so on; the list of examples is very long. Quantum-classical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. On the other hand, the new forms of light – localized light, frozen light – seem to have more in common with solid state physics than with classical optics. So these analogies are a valuable tool in the quest to understand quantum phenomena and in the search for new (quantum or classical) applications, especially in the area of quantum devices and computing.
English In Eine wahrhaft königliche Stadt, Daniela Kah describes how contemporary residents and visitors were able to experience and perceive the presence of the Holy Roman Empire (or its representatives, e.g., the king) in three late medieval cities -- Augsburg, Nürnberg and Lübeck. After receiving privileges from the king, these cities initiated large construction projects designed to assert their imperial status. These projects had a major impact on everyday life and made the Empire visible and graspable within the city. However, in the 13th century the cities increasingly deployed symbols and signs to represent their self-understanding as 'imperial'. ‘Being immediate to the Empire’ or ‘being privileged’ provided important political, economic, and social benefits. Therefore it became very important to the cities to represent their status in visible form. For this reason, the Empire achieved a permanent and lasting presence in free imperial cities. Deutsch In Eine wahrhaft königliche Stadt beschreibt Daniela Kah, wie das mittelalterliche Reich oder seine Repräsentanten, wie zum Beispiel der König, in den Reichsstädten Augsburg, Nürnberg und Lübeck für die zeitgenössischen Bewohner und Besucher erfahrbar war und wahrgenommen wurde. Zunächst führte die Vergabe von königlichen Privilegien zu großangelegten repräsentativen Bauprojekten in den Städten, die das Reich so im städtischen Alltag erkennbar werden ließen. Ab dem 13. Jahrhundert kam es dazu, dass die Stäte vermehrt Symbole und Zeichen im Stadtraum anbrachten, die ihr Selbstverständnis visualieren. Der Status ‚unmittelbar dem Reich zugehörig“ beziehungsweise ‚vom Reich privilegiert’ zu sein, wurde aufgrund seiner politischen, wirtschaftlichen und prestigesteigernden Bedeutung ein wichtiger Bezugspunkt, der zur dauerhaften Präsenz des Reichs in den Reichsstädten führte.
An Introduction to Statistical Learning provides an accessible overview of the field of statistical learning, an essential toolset for making sense of the vast and complex data sets that have emerged in fields ranging from biology to finance, marketing, and astrophysics in the past twenty years. This book presents some of the most important modeling and prediction techniques, along with relevant applications. Topics include linear regression, classification, resampling methods, shrinkage approaches, tree-based methods, support vector machines, clustering, deep learning, survival analysis, multiple testing, and more. Color graphics and real-world examples are used to illustrate the methods presented. This book is targeted at statisticians and non-statisticians alike, who wish to use cutting-edge statistical learning techniques to analyze their data. Four of the authors co-wrote An Introduction to Statistical Learning, With Applications in R (ISLR), which has become a mainstay of undergraduate and graduate classrooms worldwide, as well as an important reference book for data scientists. One of the keys to its success was that each chapter contains a tutorial on implementing the analyses and methods presented in the R scientific computing environment. However, in recent years Python has become a popular language for data science, and there has been increasing demand for a Python-based alternative to ISLR. Hence, this book (ISLP) covers the same materials as ISLR but with labs implemented in Python. These labs will be useful both for Python novices, as well as experienced users.
This intensive foundation course in Italian is designed for students with no previous knowledge of the language. Accompanying audio material containing dialogues, listening exercises and pronunciation practice is available to purchase separately in CD format. These two audio CDs are designed to work alongside the accompanying book. Students using the Routledge Intensive Italian Course will practise the four key skills of language learning - reading, writing, speaking, and listening - and will acquire a thorough working knowledge of the structures of Italian. The Routledge Intensive Italian Course takes students from beginner to intermediate level in one year.
This book provides an industry-oriented data analytics approach for process engineers, including data acquisition methods and sources, exploratory data analysis and sensitivity analysis, data-based modelling for prediction, data-based modelling for monitoring and control, and data-based optimization of processes. While many of the current data analytics books target business-related problems, the rationale for this book is a specific need to understand and select applicable data analytics approaches pragmatically to analyze process engineering–related problems; this tailored solution for engineers gets amalgamated with governing equations, and in several cases, with the physical understanding of the phenomenon being analyzed. We also consider this book strategically conceived to help map Education 4.0 with Industry 4.0 since it can support undergraduate and graduate students to gain valuable and applicable data analytics stills that can be further used in their workplace. Moreover, it can be used as a reference book for professionals, a quick reference to data analytics tools that can facilitate and/or optimize their process engineering tasks.
The once esoteric idea of embedding scientific computing into a probabilistic framework, mostly along the lines of the Bayesian paradigm, has recently enjoyed wide popularity and found its way into numerous applications. This book provides an insider’s view of how to combine two mature fields, scientific computing and Bayesian inference, into a powerful language leveraging the capabilities of both components for computational efficiency, high resolution power and uncertainty quantification ability. The impact of Bayesian scientific computing has been particularly significant in the area of computational inverse problems where the data are often scarce or of low quality, but some characteristics of the unknown solution may be available a priori. The ability to combine the flexibility of the Bayesian probabilistic framework with efficient numerical methods has contributed to the popularity of Bayesian inversion, with the prior distribution being the counterpart of classical regularization. However, the interplay between Bayesian inference and numerical analysis is much richer than providing an alternative way to regularize inverse problems, as demonstrated by the discussion of time dependent problems, iterative methods, and sparsity promoting priors in this book. The quantification of uncertainty in computed solutions and model predictions is another area where Bayesian scientific computing plays a critical role. This book demonstrates that Bayesian inference and scientific computing have much more in common than what one may expect, and gradually builds a natural interface between these two areas.
Designed for a proof-based course on linear algebra, this rigorous and concise textbook intentionally introduces vector spaces, inner products, and vector and matrix norms before Gaussian elimination and eigenvalues so students can quickly discover the singular value decomposition (SVD)—arguably the most enlightening and useful of all matrix factorizations. Gaussian elimination is then introduced after the SVD and the four fundamental subspaces and is presented in the context of vector spaces rather than as a computational recipe. This allows the authors to use linear independence, spanning sets and bases, and the four fundamental subspaces to explain and exploit Gaussian elimination and the LU factorization, as well as the solution of overdetermined linear systems in the least squares sense and eigenvalues and eigenvectors. This unique textbook also includes examples and problems focused on concepts rather than the mechanics of linear algebra. The problems at the end of each chapter that and in an associated website encourage readers to explore how to use the notions introduced in the chapter in a variety of ways. Additional problems, quizzes, and exams will be posted on an accompanying website and updated regularly. The Less Is More Linear Algebra of Vector Spaces and Matrices is for students and researchers interested in learning linear algebra who have the mathematical maturity to appreciate abstract concepts that generalize intuitive ideas. The early introduction of the SVD makes the book particularly useful for those interested in using linear algebra in applications such as scientific computing and data science. It is appropriate for a first proof-based course in linear algebra.
This book adds to the debate on the effects of covenants on third-party creditors (externalities), which have recently become a focus of discussion in the contexts of bankruptcy law, corporate law and corporate governance. The general thrust of the debate is that negative effects on third-party creditors predominate because banks act in their own self-interest. After systematising the debated potential positive and negative externalities of covenants, the book empirically examines these externalities: It investigates the banks’ factual conduct and its effects on third-party creditors in Germany and the US. The study’s most significant outcome is that it disproves the assumption that banks disregard third-party creditors’ interests. These findings are then interpreted with the tools of economic analysis; particularly, with the concept of common pool resources (CPRs). Around the aggregated value of the debtor company’s asset pool (as CPR) exists an n-person prisoner’s dilemma between banks and third-party creditors: No creditor knows when and under what conditions the other creditor will appropriate funds from the debtor company’s asset pool. This coordination problem is traditionally addressed by means of bankruptcy law and collaterals. However, the incentive structure that surrounds the bilateral private governance system created by covenants and an event of default clause (a CPR private governance system) is found to also be capable of tackling this problem. Moreover, the interaction between the different regulation spheres – bankruptcy law, collateral and the CPR private governance system − has important implications for both the aforementioned discussions as well as the legal treatment of covenants and event of default clauses. Covenants alone cannot be seen as an alternative to institutional regulation; the complete CPR private governance system and its interaction with institutional regulation must also be taken into consideration. In addition, their function must first find more acceptance and respect in the legal treatment of covenants and event of default clauses: The CPR private governance system fills a gap in the regulation of the tragedy of the commons by bankruptcy law and collateral. This has particularly important implications for the German § 138 BGB, § 826 BGB and ad hoc duties to disclose insider information.
Gesichtserkennung, videoüberwachte Strassen, intelligente Bildschirme. Im Jahr 2124 wird jeder Schritt digital aufgezeichnet und vom Monitoring kontrolliert. Über ihre FlexiScreens am Handgelenk sind die Leute ständig erreichbar und erhalten tagein, tagaus Empfehlungen, die sie zu gesunden und zufriedenen Bürger:innen machen sollen. Myro hat das alles gründlich satt. Er vermisst es, kreativ zu sein, Zeit ohne Bildschirme zu verbringen. Eines Abends hält er die Ratschläge seines Avatars nicht mehr aus und tut etwas Verbotenes. Tatsächlich findet er Gleichgesinnte und fühlt sich zum ersten Mal seit langer Zeit verstanden. Doch durch seine Aktionen gerät er ins Visier des Monitorings und muss sich entscheiden, wie weit er gehen will.
Interesting real-world mathematical modelling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modelling paradigms: the macroscopic, in which phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above.
Modeling spatial and spatio-temporal continuous processes is an important and challenging problem in spatial statistics. Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA describes in detail the stochastic partial differential equations (SPDE) approach for modeling continuous spatial processes with a Matérn covariance, which has been implemented using the integrated nested Laplace approximation (INLA) in the R-INLA package. Key concepts about modeling spatial processes and the SPDE approach are explained with examples using simulated data and real applications. This book has been authored by leading experts in spatial statistics, including the main developers of the INLA and SPDE methodologies and the R-INLA package. It also includes a wide range of applications: * Spatial and spatio-temporal models for continuous outcomes * Analysis of spatial and spatio-temporal point patterns * Coregionalization spatial and spatio-temporal models * Measurement error spatial models * Modeling preferential sampling * Spatial and spatio-temporal models with physical barriers * Survival analysis with spatial effects * Dynamic space-time regression * Spatial and spatio-temporal models for extremes * Hurdle models with spatial effects * Penalized Complexity priors for spatial models All the examples in the book are fully reproducible. Further information about this book, as well as the R code and datasets used, is available from the book website at http://www.r-inla.org/spde-book. The tools described in this book will be useful to researchers in many fields such as biostatistics, spatial statistics, environmental sciences, epidemiology, ecology and others. Graduate and Ph.D. students will also find this book and associated files a valuable resource to learn INLA and the SPDE approach for spatial modeling.
It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement into an observable classical event. Beyond the conceptual differences, quantum and classical physics have a lot in common. And, more important, there are classical and quantum phenomena that are similar although they occur in completely different contexts. For example, the Schrödinger equation has the same mathematical form as the Helmholtz equation, there is an uncertainty relation in optics very similar to that in quantum mechanics, and so on; the list of examples is very long. Quantum-classical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. On the other hand, the new forms of light – localized light, frozen light – seem to have more in common with solid state physics than with classical optics. So these analogies are a valuable tool in the quest to understand quantum phenomena and in the search for new (quantum or classical) applications, especially in the area of quantum devices and computing.
This textbook provides a solid mathematical basis for understanding popular data science algorithms for clustering and classification and shows that an in-depth understanding of the mathematics powering these algorithms gives insight into the underlying data. It presents a step-by-step derivation of these algorithms, outlining their implementation from scratch in a computationally sound way. Mathematics of Data Science: A Computational Approach to Clustering and Classification proposes different ways of visualizing high-dimensional data to unveil hidden internal structures, and nearly every chapter includes graphical explanations and computed examples using publicly available data sets to highlight similarities and differences among the algorithms. This self-contained book is geared toward advanced undergraduate and beginning graduate students in the mathematical sciences, engineering, and computer science and can be used as the main text in a semester course. Researchers in any application area where data science methods are used will also find the book of interest. No advanced mathematical or statistical background is assumed.
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