Beyond The Lecture
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Theory Of Zipf S Law And Beyond
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Author : Alexander I. Saichev
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-04
Theory Of Zipf S Law And Beyond written by Alexander I. Saichev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-04 with Business & Economics categories.
Zipf’s law is one of the few quantitative reproducible regularities found in e- nomics. It states that, for most countries, the size distributions of cities and of rms (with additional examples found in many other scienti c elds) are power laws with a speci c exponent: the number of cities and rms with a size greater thanS is inversely proportional toS. Most explanations start with Gibrat’s law of proportional growth but need to incorporate additional constraints and ingredients introducing deviations from it. Here, we present a general theoretical derivation of Zipf’s law, providing a synthesis and extension of previous approaches. First, we show that combining Gibrat’s law at all rm levels with random processes of rm’s births and deaths yield Zipf’s law under a “balance” condition between a rm’s growth and death rate. We nd that Gibrat’s law of proportionate growth does not need to be strictly satis ed. As long as the volatility of rms’ sizes increase asy- totically proportionally to the size of the rm and that the instantaneous growth rate increases not faster than the volatility, the distribution of rm sizes follows Zipf’s law. This suggests that the occurrence of very large rms in the distri- tion of rm sizes described by Zipf’s law is more a consequence of random growth than systematic returns: in particular, for large rms, volatility must dominate over the instantaneous growth rate.
School Environment And Sustainable Development Goals Beyond 2030
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Author : Princewill I. Egwuasi Ph.D
language : en
Publisher: AuthorHouse
Release Date : 2020-06-07
School Environment And Sustainable Development Goals Beyond 2030 written by Princewill I. Egwuasi Ph.D and has been published by AuthorHouse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-07 with Education categories.
This book on School Environment and the SDGs Beyond 2030 is a continuation of our maiden, second and third publications on School Environment in Nigeria and the Philippines, published in February, 2015; School Environment in Nigeria, Ghana and the Philippines published in March, 2017; and School Environment in Africa and Asia Pacific published in July, 2018. The philosophy being that since there is a shift from globalization to internationalization and to cross-border education, there is the urgent need to revisit some topical issues in our school environment towards the realization of an internationalized, qualitative and cross-border teaching and learning, using the Sustainable Development Goals as a yardstick.
Words About Pictures
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Author : Perry Nodelman
language : en
Publisher: University of Georgia Press
Release Date : 1990-08-01
Words About Pictures written by Perry Nodelman and has been published by University of Georgia Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-01 with Literary Criticism categories.
A pioneering study of a unique narrative form, Words about Pictures examines the special qualities of picture books--books intended to educate or tell stories to young children. Drawing from a number of aesthetic and literary sources, Perry Nodelman explores the ways in which the interplay of the verbal and visual aspects of picture books conveys more narrative information and stimulation than either medium could achieve alone. Moving from "baby" books, alphabet books, and word books to such well-known children's picture books as Nancy Ekholm Burkert's Snow White and the Seven Dwarfs, Gerald McDermott's Arrow to the Sun, Maurice Sendak's Where the Wild Things Are, and Chris Van Allsburg's The Garden of Abdul Gasazi, Nodelman reveals how picture-book narrative is affected by the exclusively visual information of picture-book design and illustration as well as by the relationships between pictures and their complementary texts.
From Groups To Geometry And Back
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Author : Vaughn Climenhaga
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-04-07
From Groups To Geometry And Back written by Vaughn Climenhaga and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-07 with Mathematics categories.
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Beyond Ufos
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Author : Jeffrey O. Bennett
language : en
Publisher: Princeton University Press
Release Date : 2008
Beyond Ufos written by Jeffrey O. Bennett and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Nature categories.
Describes the startling discoveries being made in the very real science of astrobiology, an intriguing new field that blends astronomy, biology, and geology to explore the possibility of life on other planets. Jeffrey Bennett takes readers beyond UFOs to discuss some of the tantalizing questions astrobiologists grapple with every day: What is life and how does it begin? What makes a planet or moon habitable? Is there life on Mars or elsewhere in the solar system? How can life be recognized on distant worlds? Is it likely to be microbial, more biologically complex--or even intelligent? What would such a discovery mean for life here on Earth?--From publisher description.
Beyond Basic Care
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Author : Roy I. Brown
language : en
Publisher: Captus Press
Release Date : 1996
Beyond Basic Care written by Roy I. Brown and has been published by Captus Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Education categories.
Studying Geography At University
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Author : Simon Tate
language : en
Publisher: Routledge
Release Date : 2020-10-27
Studying Geography At University written by Simon Tate and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-27 with Science categories.
Written by leading academics, this book is an invaluable ‘how to ...’ guide to studying for a Geography degree. Written in a practical and conversational style, it offers important insights into how to succeed in the first year of your degree course, covering everything from how to succeed in assessments to how to decide where to live. Some of the information the book provides is academic and some of it is non-academic, as negotiating both is important in order to be successful in the first year of a Geography degree. Studying Geography at University is ideal for those in the early stages of applying to university. Each chapter offers hints and tips and gives practical real-world insights into becoming a successful geography student that will enrich applications, open days and visit days. It is also possible to dip into the chapter summaries, ‘What Do Students Say?’ and ‘Top Tip’ boxes only. Written by current students, from a range of institutions, these provide unique insights into the book's key points. Current students should also keep and refer to the book as an invaluable guide through the first few months of their degree. This guide is a must-read for anyone starting their studies in Human Geography, Physical Geography, Environmental Science or any other related subject at university.
Sustainable Earth And Beyond
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Author : Yeliz Yukselen-Aksoy
language : en
Publisher: Springer Nature
Release Date : 2023-07-31
Sustainable Earth And Beyond written by Yeliz Yukselen-Aksoy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-31 with Science categories.
This book presents select proceedings of the Third International Conference on Environmental Geotechnology, Recycled Waste Materials and Sustainable Engineering (EGRWSE-2022). It covers state-of-the-art research on environmental geotechnology, sustainability, and use of recycled waste materials for civil infrastructure along with latest accomplishments, trends, concerns, innovations, practical challenges encountered, and the solutions adopted in this field. Given the contents, this book is useful for researchers, engineers, and professionals working in the areas of geoenvironmental engineering, waste management, and sustainable engineering and associated fields.
The Stylography Of The English Language
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Author : Brojonath Shaha
language : en
Publisher:
Release Date : 1897
The Stylography Of The English Language written by Brojonath Shaha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with English language categories.
Mathematics
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Author : Ida Kantor
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-08-27
Mathematics written by Ida Kantor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-27 with Mathematics categories.
Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications--some quite surprising--in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.