Mathematical details

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  • This book is intended primarily for students on economics, business studies and management courses. It assumes very little prerequisite knowledge, so it can be read by students who have not undertaken a mathematics course for some time. The style is informal and the book contains a large number of worked examples. Students are encouraged to tackle problems for themselves as they read through each section. Detailed solutions are provided so that all answers can be checked.

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  • In the past 15 years, molecular biologists and geneticists have uncovered some of the most basic mechanisms by means of which normal stem cells in a certain organ or tissue develop into cancerous tumors. This biological knowledge serves as a basis for various models of carcinogenesis.

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  • The United States must restructure mathematics education--both what is learned and the way it is taught--if children are to develop the mathematical knowledge and skills they will need to be personally and professionally competent in the twenty-first century. Joining the recent reports that have opened a national dialogue on these issues, Reshaping School Mathematics focuses discussion on essential ideas that transcend details of current curricula or assessment results.

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  • (BQ) Part 2 book "Discrete mathematics and its applications" has contents: Advanced counting techniques, relations, trees, boolean algebra, modelling computation. Please refer to the detailed content.

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  • A two-week Summer School on “Structures in Lie Theory, Crystals, Derived Functors, Harish-Chandra Modules, Invariants and Quivers” was held at Jacobs University Bremen during 9–22 August 2009 on both the geometric and algebraic aspects of Lie Theory. The participants were mainly from European countries with strong contingents from Germany, Russia, and Israel. Several high-level graduate courses were given, containing recent or original results on topics of particular current interest. The detailed notes of five of these lecture courses are reproduced in this volume.

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  • Environmental Engineer’s Mathematics Handbook brings together and integrates in a single text the more practical math operations of environmental engineering for air, water, wastewater, biosolids and stormwater. Taking an unusual approach to the overall concept of environmental engineering math concepts, this offers the reader an approach that emphasizes the relationship between the principles in natural processes and those employed in engineered processes.

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  • The market leading Essentials of Investments, 6e by Bodie, Kane and Marcus is an undergraduate textbook on investment analysis, presenting the practical applications of investment theory to convey insights of practical value. The authors have eliminated unnecessary mathematical detail and concentrate on the intuition and insights that will be useful to practitioners throughout their careers as new ideas and challenges emerge from the financial marketplace.

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  • Volume 3 of three-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance and modern commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 3 includes Books X-XIII: Commensurable magnitudes, solids, cones, cylinders.

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  • "This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and computer science libraries.

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  • The book "Pizza Parts" with vivid images and detailed guidance will help students more interested in learning English vocabulary. The Pedagogy you English majors may use this document in teaching English to children.

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  • Surveying a vast theory like Teichmüller theory is like surveying a land, and the various chapters in this Handbook are like a collection of maps forming an atlas: some of them give a very general overview of the field, others give a detailed view of some crowded area, and others are more focussed on interesting details. There are intersections between the chapters, and these intersections are necessary.

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  • This book is a final year undergraduate text on stochastic processes, a tool used widely by statisticians and researchers working, for example, in the mathematics of finance. The book will give a detailed treatment of conditional expectation and probability, a topic which is essential as a tool for stochastic processes. Although the book is a final year text, the authors have chosen to use exercises as the main means of explanation for the various topics, hence the course has a strong self-study element.

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  • This paper is the fourth in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3manifold. The key is to understand the structure of an embedded minimal disk in a ball in R3 . This was undertaken in [CM3], [CM4] and the global version of it will be completed here; see the discussion around Figure 12 for the local case and [CM15] for some more details. Our main results are Theorem 0.1 (the lamination theorem) and Theorem 0.2 (the one-sided curvature estimate). ...

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  • Having identified and classified relevant water pollution problems, and having assigned priority to them, the next step is to identify appropriate interventions to cope with the problems. For every problem identified, therefore, an assessment should be made of the most appropriate means for intervention. Furthermore, an indication should be given of the relevant administrative level(s) to be involved. The proposed interventions may vary significantly in detail and scope.

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  • The increasing demand on ultra miniturized electronic devices for ever improving performances has led to the necessity of a deep and detailed understanding of the mathematical theory of charge transport in semiconductors.

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  • The field of photonics is enormously broad, covering everything from light sources to geometric and wave optics to fiber optics. Laser and light source technology is a subset of photonics whose importance is often underestimated. This book focuses on these technologies with a good degree of depth, without attempting to be overly broad and all-inclusive of various photonics concepts. For example, fiber optics is largely omitted in this book except when relevant, such as when fiber amplifiers are examined.

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  • This paper introduces the notion of a stability condition on a triangulated category. The motivation comes from the study of Dirichlet branes in string theory, and especially from M.R. Douglas’s work on Π-stability. From a mathematical point of view, the most interesting feature of the definition is that the set of stability conditions Stab(D) on a fixed category D has a natural topology, thus defining a new invariant of triangulated categories.

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  • The Low Achievement Trap is an empirical study of student mathematics learning in Grade 6 classrooms that is unique in its focus on two school systems shaped by different political histories on either side of the Botswana-South Africa border. The study provides a detailed examination of the capacity of teachers - how they teach, how much they teach, and what they teach. Because of this wealth of detail, The Low Achievement Trap gives us much greater insight

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  • A diverse set of regulatory approaches and enforcement tools is applied to a sizeable universe of regulated entities by these multiple regulating authorities to ensure compliance. A general discussion of enforcement monitoring and response tools is included in this report, followed by a summary of recent fiscal year federal funding levels for enforcement activities. Discussion of available enforcement data sources, as well as tables illustrating examples of trends in enforcement activities, is presented in the two appendixes.

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  • We use three models to estimate health damages from PM10. First, we use an air dispersion model to estimate each source’s contribution to annual average ambient levels of PM10 at several thousand receptor locations in Paso del Norte. Next, we use a health effects model to estimate the number of cases of human mortality and morbidity that result from this pollution each year. Finally, we use a valuation model to calculate the dollar values of these health impacts. This section briefly discusses each of these models. A more detailed discussion is available in Blackman et...

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