A comprehensive overview of Monte Carlo simulation that explores the latest topics, techniques, and real-world applications More and more of today’s numerical problems found in engineering and finance are solved through Monte Carlo methods. The heightened popularity of these methods and their continuing development makes it important for researchers to have a comprehensive understanding of the Monte Carlo approach. Handbook of Monte Carlo Methods provides the theory, algorithms, and applications that helps provide a thorough understanding of the emerging dynamics of this rapidly-growing field. The authors begin with a discussion of fundamentals such as how to generate random numbers on a computer. Subsequent chapters discuss key Monte Carlo topics and methods, including: Random variable and stochastic process generation Markov chain Monte Carlo, featuring key algorithms such as the Metropolis-Hastings method, the Gibbs sampler, and hit-and-run Discrete-event simulation Techniques for the statistical analysis of simulation data including the delta method, steady-state estimation, and kernel density estimation Variance reduction, including importance sampling, latin hypercube sampling, and conditional Monte Carlo Estimation of derivatives and sensitivity analysis Advanced topics including cross-entropy, rare events, kernel density estimation, quasi Monte Carlo, particle systems, and randomized optimization The presented theoretical concepts are illustrated with worked examples that use MATLAB®, a related Web site houses the MATLAB® code, allowing readers to work hands-on with the material and also features the author's own lecture notes on Monte Carlo methods. Detailed appendices provide background material on probability theory, stochastic processes, and mathematical statistics as well as the key optimization concepts and techniques that are relevant to Monte Carlo simulation. Handbook of Monte Carlo Methods is an excellent reference for applied statisticians and practitioners working in the fields of engineering and finance who use or would like to learn how to use Monte Carlo in their research. It is also a suitable supplement for courses on Monte Carlo methods and computational statistics at the upper-undergraduate and graduate levels.
Without consciousness we would not have the experientially flavoured world we have, but without the non-conscious we would not have it at all; for we would not be able to breathe, eat, move, walk, feel, mimic, gesture, laugh, etc., and even see, talk, remember, reason, understand, think, imagine, and make myriad spontaneous decisions as we continuously do in all life situations, from trivial to existential ones. Without consciousness we would not be the kind of creatures we are, but what makes us really unique is our specific non-conscious constellation - a basis from which all mentality germinates and which is irreducible, that is, not representable or in any way simulable. This collection of essays by leading scholars in consciousness aims to show that in order to understand mind as a whole we have to also consider its non-conscious part. Obtaining a more thorough insight into the non-conscious is indispensable for a better understanding of consciousness - the two spheres are to be perceived not as separated but rather as interconnected. The non-conscious is habitually associated with automatized motor behaviour, skills, and habits, but even in their most elementary forms these aspects of mind require a high level of sophistication and cognitive competence. Most complex cognitive tasks, such as perception, memory, decision making, etc. also rely heavily on non-conscious processing, which is not only faster but also proves to be in many respects more fundamental. The investigations included in this volume point to the conclusion that we can behave in a cognitively competent way without recourse to consciousness; that we may act in a reasoned manner even away from awareness; that thinking can be instantiated without engaging the sober conscious reasoner; that our coping in the world is meaningful and fulfilling even when conscious control and volition are dormant. This book aims to integrate the non-conscious as a constitutive dimension of the mind and also to outline how it is indispensable in virtually everything we do.
Focuses on mathematical understanding Presentation is self-contained, accessible, and comprehensive Full color throughout Extensive list of exercises and worked-out examples Many concrete algorithms with actual code
This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and high-school students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book.
The author examines a number of the published Old Aramaic inscriptions, and compares them with the Aramaic of Daniel according to a broad-based set of criteria; detailed literary, grammatical and lexicographical comparisons build a cumulative case for questioning both the unified character of Old Aramaic and the supposedly late character of numerous features in Old Aramaic. The author thus contributes to the discussion of whether Old Aramaic texts can be used for understanding the Aramaic of Daniel, on the one hand, while contributing to an evaluation of the debate concerning the origin of the Aramaic of Daniel on the other.
Re-framing Urban Space: Urban Design for Emerging Hybrid and High-Density Conditions rethinks the role and meaning of urban spaces through current trends and challenges in urban development. In emerging dense, hybrid, complex and dynamic urban conditions, public urban space is not only a precious and contested commodity, but also one of the key vehicles for achieving socially, environmentally and economically sustainable urban living. Past research has been predominantly focused on familiar models of urban space, such as squares, plazas, streets, parks and arcades, without consistent and clear rules on what constitutes good urban space, let alone what constitutes good urban space in ‘high-density context’. Through an innovative and integrative research framework, Re-Framing Urban Space guides the assessment, planning, design and re-design of urban spaces at various stages of the decision-making process, facilitating an understanding of how enduring qualities are expressed and negotiated through design measures in high-density urban environments. This book explores over 50 best practice case studies of recent urban design projects in high-density contexts, including Singapore, Beijing, Tokyo, New York, and Rotterdam. Visually compelling and insightful, Re-Framing Urban Space provides a comprehensive and accessible means to understand the critical properties that shape new urban spaces, illustrating key design components and principles. An invaluable guide to the stages of urban design, planning, policy and decision making, this book is essential reading for urban design and planning professionals, academics and students interested in public spaces within high-density urban development.
Gene expression in eukaryotes is regulated at different levels, which need to be coordinated to implement the information in the genome. Now it is clear that post-transcriptional regulation of gene expression such as pre-mRNA splicing, mRNA transport, editing, turnover and translation are as important as the control of transcription. In all aspects
What Can Space Do for the Arts?; What Can Arts Do for Space?; and What Can Arts and Space Do for the Community? Through the lenses of creative placemaking and neighbourhood arts ecology, Trivic re-examines the position of community arts in the spatial, social and cultural landscape. Emphasising urban design considerations of complex interdependent relationships between arts, space and people, he re-explores the role of community-based arts activities in shaping urban neighbourhoods, enriching public life and empowering communities. This is divided into an analysis of spatial opportunities for the arts in the neighbourhood; and a study of the impacts of bringing arts and culture activities into local neighbourhoods and communities, using Singapore’s nodal approach as a developed case study. Using spatial opportunity analysis, the book demonstrates a step-by-step procedure for identification and evaluation of the neighbourhood spaces that work best for community arts and culture activities. In the study of impacts, Trivic proposes a holistic framework for capturing and evaluating the non-economic impacts of arts and culture, on space, society, well-being, education and participation. An invaluable template for arts event organisers and artists to assess and maximise the outcomes of their creative efforts in local neighbourhoods, as well as an important reading for students and practitioners of neighbourhood planning, urban design, and creative placemaking.
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