Diplomarbeit aus dem Jahr 2007 im Fachbereich Mathematik - Stochastik, Note: sehr gut, Philipps-Universität Marburg (Fachbereich Mathematik), Sprache: Deutsch, Abstract: Der Begriff ´´Fraktal´´ wurde in den 70er Jahren von Mandelbrot in seinem Buch ´´The fractal geometry of nature´´ geprägt. Obwohl es keine präzise Definition eines ´´Fraktals´´ gibt, hat es Einzug in unseren Sprachgebrauch gefunden. Erstes Interesse an den Eigenschaften von Prozessen auf Fraktalen kam von mathematischen Physikern auf, die sich fragten, wie sich beispielsweise Wärme oder eine Flüssigkeit auf Fraktalen ausbreitet. Um diese Fragen zu beantworten, braucht man die Theorie der ´´Analysis auf Fraktalen´´. Die Ausbreitung von Wärme lässt sich durch die Wärmegleichung beschreiben. Ist der Definitionsbereich des Laplace-Operators allerdings ein Fraktal, ergibt sich z.B. das Problem, dass Kurven wie das Sierpinski Dreieck oder die KochKurve nicht glatt sind. Solche Schwierigkeiten zu beheben ist eine neue Herausforderung in der Mathematik, der sich die Analysis auf Fraktalen und insbesondere die Untersuchung stochastischer Prozesse auf selbstähnlichen Mengen widmet.
Diplomarbeit aus dem Jahr 2007 im Fachbereich Mathematik - Stochastik, Note: sehr gut, Philipps-Universität Marburg (Fachbereich Mathematik), Sprache: Deutsch, Abstract: Der Begriff Fraktal wurde in den 70er Jahren von Mandelbrot in seinem Buch The fractal geometry of nature geprägt. Obwohl es keine präzise Definition eines Fraktals gibt, hat es Einzug in unseren Sprachgebrauch gefunden. Erstes Interesse an den Eigenschaften von Prozessen auf Fraktalen kam von mathematischen Physikern auf, die sich fragten, wie sich beispielsweise Wärme oder eine Flüssigkeit auf Fraktalen ausbreitet. Um diese Fragen zu beantworten, braucht man die Theorie der Analysis auf Fraktalen. Die Ausbreitung von Wärme lässt sich durch die Wärmegleichung beschreiben. Ist der Definitionsbereich des Laplace-Operators allerdings ein Fraktal, ergibt sich z.B. das Problem, dass Kurven wie das Sierpinski Dreieck oder die KochKurve nicht glatt sind. Solche Schwierigkeiten zu beheben ist eine neue Herausforderung in der Mathematik, der sich die Analysis auf Fraktalen und insbesondere die Untersuchung stochastischer Prozesse auf selbstähnlichen Mengen widmet.
This volume deals with the pressing issue of uncertainty in archaeological modeling. Detecting where and when uncertainty is introduced to the modeling process is critical, as are strategies for minimizing, reconciling, or accommodating such uncertainty. Included chapters provide unique perspectives on uncertainty in archaeological modeling, ranging in both theoretical and methodological orientation. The strengths and weaknesses of various identification and mitigation techniques are discussed, in particular sensitivity analysis. The chapters demonstrate that for archaeological modeling purposes, there is no quick fix for uncertainty; indeed, each archaeological model requires intensive consideration of uncertainty and specific applications for calibration and validation. As very few such techniques have been problematized in a systematic manner or published in the archaeological literature, this volume aims to provide guidance and direction to other modelers in the field by distilling some basic principles for model testing derived from insight gathered in the case studies presented. Additionally, model applications and their attendant uncertainties are presented from distinct spatio-temporal contexts and will appeal to a broad range of archaeological modelers. This volume will also be of interest to non-modeling archaeologists, as consideration of uncertainty when interpreting the archaeological record is also a vital concern for the development of non-formal (or implicit) models of human behavior in the past. Marieka Brouwer Burg (Ph.D. 2011 Michigan State University) is Lecturer of Anthropology in the Department of Anthropology at the University of New Hampshire, New Hampshire, USA. She is interested in the effects of landscape evolution and climate change on human communities, as well as reconstructing decision processes and perceptions of landscape in the past. She uses GIS-based archaeological computational modeling to explore these processes in both Old and New World contexts. Her current research focuses on investigating the spatiotemporal dimensions of ancient Maya mobility and socioeconomic interactions in the central Belize River Valley, Belize. J.H.M. Peeters (Ph.D. 2007 University of Amsterdam) is Associate Professor of Prehistoric Archaeology at the Groningen Institute of Archaeology, University of Groningen. Research interests include Hunter-Gatherer Archaeology and Ethnography; Landscape Archaeology; Lithic Technology; Computational Modeling; Site Formation Dynamics and Fractal Geometry. Current research projects include Late Glacial and Holocene Hunter-Gatherer Landscape Use of the North Sea Basin; Mesolithic Lithic Technology; Hunter-Gatherer Pyro-Technology; Dynamics of Intra-Site Spatial Patterning. William A. Lovis (Ph.D. 1973 Michigan State University) is Professor and Curator of Anthropology in the Department of Anthropology and MSU Museum at Michigan State University, Michigan, USA. His research interests include Hunter-Gatherer Archaeology and Ethnography; The Transition to Horticulture; Applied Theory, Analytic Methods and Research Design; Human-Environment Interactions and Regional Taphonomy; Paleoenvironmental Change; Public Policy including Forensic Archaeology, Law Enforcement Training, and Repatriation; Great Lakes/Midwest and Europe. Current research projects include archaeological site taphonomy and preservation in the Lake Michigan coastal dunes, Mesolithic regional settlement and mobility in Yorkshire, northern England, and hemispheric climate impacts on Great Lakes coastal dune evolution and activation cycling.
This book collects high-quality papers on the latest fundamental advances in the state of Econophysics and Management Science, providing insights that address problems concerning the international economy, social development and economic security. This book applies the multi-fractal detrended class method, and improves the method with different filters. The authors apply those methods to a variety of areas: financial markets, energy markets, gold market and so on. This book is arguably a systematic research and summary of various kinds of multi-fractal detrended methods. Furthermore, it puts forward some investment suggestions on a healthy development of financial markets. Guangxi Cao: Prof. Dr. Cao is a professor in the School of Economics and Management at Nanjing University of Information Science & Technology and a post-doctor in the School of Finance at Shanghai University of Finance and Economics. His main research is on financial empirical analysis and management, econometric and management. Since 2007, he has published 70 papers in some international publications such as Physica A, NLA?AMC?Emerging Markets Finance and Trade, and so on, and in some domestic core journals such as China Management Science, Management Science, Application of Statistics and Management, Systems Engineering, and so on, involving the field of financial market, carbon emission and technology innovation. Furthermore, he has published two books. Now, his research group is undertake several projects from National natural Science Foundation of China (No. 71371100), the Humanities and Social Sciences Fund sponsored by the Ministry of Education of the Peoples Republic of China (No. 13YJCZH007), and other projects of province. Ling-Yun He: Prof. Dr. He is a full professor in applied economics at JiNan University, and serves as an adjunct/affiliate Professor at many Chinese leading universities, such as China Agricultural University, Nanjing University of Information Science and Technology, and Beijing Institute of Technology. His expertise includes energy economics, environmental regulations and policies, computational economics, etc. He published over 80 academic papers in internationally recognized or domestically top-tier peer-reviewed journals, such as Energy Economics, China Economic Review, Transportation Research D, Computational Economics, Transport Policy, Energy Policy, Economic Research Journal. He received many national or provincial level awards, like New Century Excellent Talents in University award by the Ministry of Education of the Peoples Republic of China in 2011, and Beijing Outstanding Talent in the Social Sciences in the New Century award by the City of Beijing in 2011. He also serves as an associate editor or academic editor for many international peer-reviewed journals, like Computational Economics, Fractals, International Journal of Global Environmental Issues, etc. His enthusiasm and devotion in teaching are also highly regarded and recognized. He received many times Teacher of the Year, PhD Supervisor of the Year and Undergraduate Supervisor of the Year awards at many universities he taught. Jie Cao: Jie Cao is an expert in financial engineering and public safety. He has been worked in financial market and emergency management field for nearly 15 years. He is a Principal Investigator (PI) for three projects from National Natural Science Foundation of China. He is honored with the new century talents project national candidates, Special allowance of the State Council, and is supported by Six talent peak in Jiangsu Province.
The state of the art in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics Modeling is presented in this new second edition book. It shows how advanced physical and mathematical methods can expand classical models in order to cover heterogeneous drug-biological processes and therapeutic effects in the body. The book is divided into four parts; the first deals with the fundamental principles of fractals, diffusion and nonlinear dynamics; the second with drug dissolution, release, and absorption; the third with epirical, compartmental, and stochastic pharmacokinetic models, with two new chapters, one on fractional pharmacokinetics and one on bioequivalence; and the fourth mainly with classical and nonclassical aspects of pharmacodynamics. The classical models that have relevance and application to these sciences are also considered throughout. This second edition has new information on reaction limited models of dissolution, non binary biopharmaceutic classification system, time varying models, and interface models. Many examples are used to illustrate the intrinsic complexity of drug administration related phenomena in the human, justifying the use of advanced modeling methods. This book will appeal to graduate students and researchers in pharmacology, pharmaceutical sciences, bioengineering, and physiology. Reviews of the first edition: This book presents a novel modelling approach to biopharmaceutics, pharmacokinetics and pharmacodynamic phenomena. This state-of-the-art volume will be helpful to students and researchers in pharmacology, bioengineering, and physiology. This book is a must for pharmaceutical researchers to keep up with recent developments in this field. (P. R. Parthasarathy, Zentralblatt MATH, Vol. 1103 (5), 2007) These authors are the unique (or sole) contributors in this area that are working on these questions and bring a special expertise to the field that is now being recognized as essential to understanding biological system and kinetic/dynamic characteristics in drug development...This text is an essential primer for those who would envision the incorporation of heterogeneous approaches to systems where homogeneous approaches are not sufficient to describe the system. (Robert R. Bies, Journal of Clinical Pharmacology, Vol. 46, 2006)
Here are three mind-expanding interviews, on Terence McKenna, the ancient Maya, and astrology and spirituality. 1. A Tribute to Terence McKenna, Featuring Dr. Dennis McKenna and Stephen Harrod Buhner Dr. Dennis McKenna pays tribute to his older brother with the help of Stephen Harrod Buhner. Over the past quarter century before his passing, Terence McKenna (1946-2000) had been studying the ontological foundations of shamanism and the ethno-pharmacology of spiritual transformation. An innovative theoretician and spellbinding orator, Terence emerged as a powerful voice for the psychedelic movement and the emerging societal tendency he called ´´The Archaic Revival´´. McKenna poetically dispensed enlightened social criticism and new theories about the fractal dynamics of time. 2. John Major Jenkins: The Ancient Maya and the Galactic Alignment of 2012 Over 2,000 years ago, the early Maya formulated a profound galactic cosmology. They saw that the sun, at the winter solstice, was slowly moving toward the heart of the galaxy. Naturally enough, with their uncorrupted intelligence intact, they suspected that the world would go through a transformation when the solar and the galactic planes aligned. They devised their Long Count calendar to pinpoint when the cosmic alignment would maximize, and that time will come in 2012. We are lucky that the brilliant skywatchers who devised the 2012 calendar left carved monuments for us to decode, and that they have survived the decay of centuries, so that we can know exactly what they prophesied and believed about 2012. 3. Rick Levine: Quantum Astrology 2007 and Beyond Rick Levine is an active voice in the astrology community. His special gift is to bridge the gap between astrology and spirituality, science and religion, and the head and the heart. Rick has been involved in the alternative health and natural products industry for 20 years. 1. Language: English. Audio sample: http://samples.audible.de/sp/real/000002de/bk_rhde_002536_sample.mp3. Digital audiobook in aax.