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Much work has been done on trying to gain insight into the dynamics of accreting systems, such as black hole and neutron star binaries, by analyzing timing measurements from X-ray telescopes. In this thesis we present a novel approach to this problem using a kurtosis measure of the wavelet distribution obtained from the light curve to quantify the presence of intermittent activity. This method is applied to large RXTE data sets for GRS 1915+105, and Cygnus X-1. We demonstrate a new approach to reveal bursting modes. Negative correlation between the presence of a low frequency QPO in the Cygnus X-1 Fourier power spectrum and a wavelet kurtosis indicator of temporal intermittency is observed. A possible interpretation of this anti-correlation is developed using a "dripping handrail" transient chaos model.

As an introductory work, this book contains the elementary materials in map theory, includingembeddings of a graph, abstract maps, duality, orientable and non-orientable maps, isomorphisms of maps and the enumeration of rooted or unrooted maps, particularly, thejoint tree representation of an embedding of a graph on two dimensional manifolds, whichenables one to make the complication much simpler on map enumeration. All of theseare valuable for researchers and students in combinatorics, graphs and low dimensionaltopology.A Smarandache system (Sigma;R) is such a mathematical system with at leastone Smarandachely denied rule r in R such that it behaves in at least two different wayswithin the same set Sigma, i.e., validated and invalided, or only invalided but in multiple distinctways. A map is a 2-cell decomposition of surface, which can be seen as a connectedgraphs in development from partition to permutation, also a basis for constructing Smarandachesystems, particularly, Smarandache 2-manifolds for Smarandache geometries.

This proceedings volume addresses advances in global optimization—a multidisciplinary research field that deals with the analysis, characterization and computation of global minima and/or maxima of nonlinear, non-convex and nonsmooth functions in continuous or discrete forms. The volume contains selected papers from the third biannual World Congress on Global Optimization in Engineering & Science (WCGO), held in the Yellow Mountains, Anhui, China on July 8-12, 2013. The papers fall into eight topical sections: mathematical programming; combinatorial optimization; duality theory; topology optimization; variational inequalities and complementarity problems; numerical optimization; stochastic models and simulation and complex simulation and supply chain analysis.

A practical and clarifying approach to aging andaging-related diseases Providing a thorough and extensive theoretical framework, TheBiostatistics of Aging: From Gompertzian Mortality to an Index ofAging-Relatedness addresses the surprisinglysubtlenotion—with consequential biomedical and public healthrelevance—of what it means for acondition to be related toaging. In this pursuit, the book presents a new quantitativemethodto examine the relative contributions of genetic andenvironmental factors to mortality anddisease incidence in apopulation. With input from evolutionary biology, population genetics,demography, and epidemiology, this medically motivated bookdescribes an index of aging-relatedness and also features: Original results on the asymptotic behavior of the minimum oftime-to-event random variables, which extends those of theclassical statistical theory of extreme values A comprehensive and satisfactory explanation based onbiological principles of the Gompertz pattern of mortality in humanpopulations The development of an evolution-based model of causationrelevant to mortality and aging-related diseases of complexetiology An explanation of how and why the description of humanmortality by the Gompertz distribution can be improved upon fromfirst principles The amply illustrated analysis of real-world data, including aprogram for conducting the analysis written in the freely availableR statistical software Technical appendices including mathematical material as well asan extensive and multidisciplinary bibliography on aging andaging-related diseases The Biostatistics of Aging: From Gompertzian Mortality to anIndex of Aging-Relatedness is an excellent resource forpractitioners and researchers with an interest in aging andaging-related diseases from the fields of medicine, biology,gerontology, biostatistics, epidemiology, demography, and publichealth.

Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. " It includes the construc tion of direct and skew products of dynamical systems, the Rohlin-Halmos lemma, and the theory of special representations of dynamical systems with continuous time. A considerable part deals with entropy.

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students. By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.

• according to syllabus for exam up to year 2020 • new questions from top schools & colleges since 2008 – 2017 • exposes “surprise & trick” questions • complete answer keys • most efficient method of learning, hence saves time • arrange from easy-to-hard both by topics and question-types to facilitate easy absorption • full set of step-by-step solution approaches (available separately) • advanced trade book • complete and concise eBook editions available • also suitable for • Cambridge GCE AL (H1/H2) • Cambridge International A & AS Level • Books available for other subjects including Physics, Chemistry, Biology, Mathematics, Economics, English • Primary level, Secondary level, GCE O-level, GCE A-level, iGCSE, Cambridge A-level, Hong Kong DSE • visit www.yellowreef.com for sample chapters and more

This packet includes crossword-like puzzles where the answers are all numeric values! Down and Across clues are basic math problems that include numeration and measuring. This is a great source for reinforcement of math skills and providing homework sheets. Includes answers keys.