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Author : Kato Tsuyoshi
Publisher : World Scientific
ISBN 13 : 9814635383
Total Pages : 272 pages
Book Rating : 4.8/5 (146 download)
Download or read book Dynamical Scale Transform In Tropical Geometry written by Kato Tsuyoshi and published by World Scientific. This book was released on 2016-10-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David A. Croydon
Publisher : American Mathematical Society
ISBN 13 : 1470456338
Total Pages : 114 pages
Book Rating : 4.4/5 (74 download)
Download or read book Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation written by David A. Croydon and published by American Mathematical Society. This book was released on 2023-03-09 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Ricardo Castano-Bernard
Publisher : Springer
ISBN 13 : 3319065149
Total Pages : 445 pages
Book Rating : 4.3/5 (19 download)
Download or read book Homological Mirror Symmetry and Tropical Geometry written by Ricardo Castano-Bernard and published by Springer. This book was released on 2014-10-07 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the “tropical” approach to Gromov-Witten theory and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of Calabi-Yau manifolds (the so-called Strominger-Yau-Zaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewise-linear objects which appear as “degenerations” of the corresponding algebro-geometric objects.
Author : François Boulier
Publisher : Springer Nature
ISBN 13 : 3030600262
Total Pages : 644 pages
Book Rating : 4.0/5 (36 download)
Download or read book Computer Algebra in Scientific Computing written by François Boulier and published by Springer Nature. This book was released on 2020-10-17 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd International Workshop on Computer Algebra in Scientific Computing, CASC 2020, held in Linz, Austria, in September 2020. The conference was held virtually due to the COVID-19 pandemic. The 34 full papers presented together with 2 invited talks were carefully reviewed and selected from 41 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CAS in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics.
Author :
Publisher :
ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.U/5 (183 download)
Download or read book Monthly Weather Review written by and published by . This book was released on 1993 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Diane Maclagan
Publisher : American Mathematical Society
ISBN 13 : 1470468565
Total Pages : 363 pages
Book Rating : 4.4/5 (74 download)
Download or read book Introduction to Tropical Geometry written by Diane Maclagan and published by American Mathematical Society. This book was released on 2021-12-13 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum. This turns polynomials into piecewise-linear functions, and their zero sets into polyhedral complexes. These tropical varieties retain a surprising amount of information about their classical counterparts. Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics. This book offers a self-contained introduction to tropical geometry, suitable as a course text for beginning graduate students. Proofs are provided for the main results, such as the Fundamental Theorem and the Structure Theorem. Numerous examples and explicit computations illustrate the main concepts. Each of the six chapters concludes with problems that will help the readers to practice their tropical skills, and to gain access to the research literature. This wonderful book will appeal to students and researchers of all stripes: it begins at an undergraduate level and ends with deep connections to toric varieties, compactifications, and degenerations. In between, the authors provide the first complete proofs in book form of many fundamental results in the subject. The pages are sprinkled with illuminating examples, applications, and exercises, and the writing is lucid and meticulous throughout. It is that rare kind of book which will be used equally as an introductory text by students and as a reference for experts. —Matt Baker, Georgia Institute of Technology Tropical geometry is an exciting new field, which requires tools from various parts of mathematics and has connections with many areas. A short definition is given by Maclagan and Sturmfels: “Tropical geometry is a marriage between algebraic and polyhedral geometry”. This wonderful book is a pleasant and rewarding journey through different landscapes, inviting the readers from a day at a beach to the hills of modern algebraic geometry. The authors present building blocks, examples and exercises as well as recent results in tropical geometry, with ingredients from algebra, combinatorics, symbolic computation, polyhedral geometry and algebraic geometry. The volume will appeal both to beginning graduate students willing to enter the field and to researchers, including experts. —Alicia Dickenstein, University of Buenos Aires, Argentina
Author : Lance H. Gunderson
Publisher : Island Press
ISBN 13 : 1642830895
Total Pages : 341 pages
Book Rating : 4.6/5 (428 download)
Download or read book Applied Panarchy written by Lance H. Gunderson and published by Island Press. This book was released on 2022-04-21 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although humans desire stability in our lives to help us understand the world and survive, nothing in nature is permanently stable. How can society anticipate and adjust to the changes we see around us? Scientists use panarchy theory to understand how systems--whether forests, electrical grids, agriculture, coastal surges, public health, or human economies and governance--interact together in unpredictable ways. Applied Panarchy, the much-anticipated successor to Lance Gunderson and C.S. Holling's seminal 2002 volume Panarchy, documents the extraordinary advances in interdisciplinary panarchy scholarship and applications over the past two decades. Intended as a text for graduate courses in environmental sciences and related fields, Applied Panarchy picks up where Panarchy left off, inspiring new generations of scholars, researchers, and professionals to put its ideas to work in practical ways.
Author : Jonathan Asher Greenberg
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (7 download)
Download or read book Monitoring Tropical and Montane Forest Dynamics and Structure Using Remote Sensing written by Jonathan Asher Greenberg and published by . This book was released on 2004 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simon A. Levin
Publisher : Springer Science & Business Media
ISBN 13 : 3642501559
Total Pages : 324 pages
Book Rating : 4.6/5 (425 download)
Download or read book Patch Dynamics written by Simon A. Levin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the preface by Joel E. Cohen: "A century from now humanity will live in a managed - or mismanaged - global garden. We are debating the need to preserve tropical forests. Farming of the sea is providing an increasing part of our fish supply. We are beginning to control atmospheric emissions. In 100 years, we shall use novel farming practices and genetic engineering of bacteria to manipulate the methane production of rice fields. The continental shelf will be providing food, energy, possibly even living space. To make such intensive management possible will require massive improvements in data collection and analysis, and especially in our concepts. A century hence we will live on a wired earth: the oceans and the crust of the earth will receive the same comprehensive monitoring now devoted to weather. As the peoples of currently developing countries increase their levels of wealth, the need for global management will become irresistible as impatience with the accidents of nature and intolerance of mismanagement of the environment - especially of living resources - grow. Our control of physical perturbations and chemical inputs to the environment will be judged by the consequences to living organisms and biological communities. How can we obtain the factual and theoretical foundation needed to move from our present, fragmented knowledge and limited abilities to a managed, global garden?" This problem was addressed in the lectures and workshops of a summer school on patch dynamics at Cornell University. The school emphasized the analysis and interpretation of spatial patterns in terrestrial and marine environments. This book contains the course material of this school, combining general reviews with specific applications.
Author : Richard L Pfeffer
Publisher : Elsevier
ISBN 13 : 1483223930
Total Pages : 164 pages
Book Rating : 4.4/5 (832 download)
Download or read book Dynamics of Climate written by Richard L Pfeffer and published by Elsevier. This book was released on 2013-10-22 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics of Climate covers the proceedings of a Conference on the Application of Numerical Integration Techniques to the Problem of the General Circulation, held in Princeton University on October 26-28, 1955. This conference considers the problems involved in studying the general circulation of the earth's atmosphere by the numerical integration of suitable mathematical models. This book is organized into five parts encompassing 20 chapters. After providing a brief introduction to the subject, this book goes on dealing with the problem of forecasting climatic fluctuations. The second part discusses the numerical prediction and the general circulation of the atmosphere up to mean zonal circulation cause by topography and heating. The third part surveys other studies of the general circulation and climatic change, particularly the Earth's atmosphere and the main effect of the unequal heating. The fourth part covers the radiation studies including problems involved in introducing the long-wave radiative effects and the potential theory formulation of radiative-heat transfer which unveils some notations that will be used to express mathematical statements. The fifth part looks into the energy transformation, further researches, and other applications of these discoveries. This book is of value to meteorologists, mathematicians, and researchers in other climate-related fields.
Author : Andrew Adamatzky
Publisher : World Scientific
ISBN 13 : 9812562869
Total Pages : 265 pages
Book Rating : 4.8/5 (125 download)
Download or read book Dynamics of Crowd-minds written by Andrew Adamatzky and published by World Scientific. This book was released on 2005 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: - Includes easily accessible discrete models (cellular automata, artificial chemistry), a great number of informative illustrations, enlightening quotations, and an encyclopedic list of references.- Models and paradigms developed in the book can be applied to mathematical studies of affective collective intelligence, computational models of minds near the state of mental disorder, the design of massive-parallel prototypes of artificial consciousness, software implementations of affective cognition, and the design of hardware prototypes of emotional controllers.
Author :
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.X/5 (4 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arne Jensen
Publisher : World Scientific
ISBN 13 : 9814449245
Total Pages : 743 pages
Book Rating : 4.8/5 (144 download)
Download or read book XVIIth International Congress on Mathematical Physics written by Arne Jensen and published by World Scientific. This book was released on 2014 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an in-depth study of not just about Tan Kah-kee, but also the making of a legend through his deeds, self-sacrifices, fortitude and foresight. This revised edition sheds new light on his political agonies in Mao's China over campaigns against capitalists and intellectuals.
Author : Leonardo Bacelar Lima Santos
Publisher : Springer
ISBN 13 : 303021205X
Total Pages : 258 pages
Book Rating : 4.0/5 (32 download)
Download or read book Towards Mathematics, Computers and Environment: A Disasters Perspective written by Leonardo Bacelar Lima Santos and published by Springer. This book was released on 2019-07-23 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: With relevant, timely topics, this book gathers carefully selected, peer-reviewed scientific works and offers a glimpse of the state-of-the-art in disaster prevention research, with an emphasis on challenges in Latin America. Topics include studies on surface frost, an extreme meteorological event that occasionally affects parts of Argentina, Bolivia, Peru, and southern Brazil, with serious impacts on local economies; near-ground pollution concentration, which affects many industrial, overpopulated cities within Latin America; disaster risk reduction and management, which are represented by mathematical models designed to assess the potential impact of failures in complex networks; and the intricate dynamics of international armed conflicts, which can be modeled with the help of stochastic theory. The book offers a valuable resource for professors, researchers, and students from both mathematical and environmental sciences, civil defense coordinators, policymakers, and stakeholders.
Author : Ilia Itenberg
Publisher : Springer Science & Business Media
ISBN 13 : 3034600488
Total Pages : 113 pages
Book Rating : 4.0/5 (346 download)
Download or read book Tropical Algebraic Geometry written by Ilia Itenberg and published by Springer Science & Business Media. This book was released on 2009-05-30 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes present a polished introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make the first steps in the subject which is not yet well represented in the literature. The notes are based on a seminar at the Mathematical Research Center in Oberwolfach in October 2004. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics.
Author : Dmitry V. Chalikov
Publisher : Springer
ISBN 13 : 3319329162
Total Pages : 330 pages
Book Rating : 4.3/5 (193 download)
Download or read book Numerical Modeling of Sea Waves written by Dmitry V. Chalikov and published by Springer. This book was released on 2016-06-25 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a novel approach to wave theory, this book applies mathematical modeling to the investigation of sea waves. It presents problems, solutions and methods, and explores issues such as statistical properties of sea waves, generation of turbulence, Benjamin-Feir instability and the development of wave fields under the action of wind. Special attention is paid to the processes of dynamic wind-wave interaction, the formation of freak waves, as well as the role that sea waves play in the dynamic ocean/atmosphere system. It presents theoretical results which are followed by a description of the algorithms used in the development of wave forecasting models, and provides illustrations to assist understanding of the various models presented. This book provides an invaluable resource to oceanographers, specialists in fluid dynamics and advanced students interested in investigation of the widely known but poorly investigated phenomenon of sea waves.
Author : Steven J. Fletcher
Publisher : Elsevier
ISBN 13 : 0323972535
Total Pages : 1130 pages
Book Rating : 4.3/5 (239 download)
Download or read book Data Assimilation for the Geosciences written by Steven J. Fletcher and published by Elsevier. This book was released on 2022-11-16 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Assimilation for the Geosciences: From Theory to Application, Second Edition brings together all of the mathematical and statistical background knowledge needed to formulate data assimilation systems into one place. It includes practical exercises enabling readers to apply theory in both a theoretical formulation as well as teach them how to code the theory with toy problems to verify their understanding. It also demonstrates how data assimilation systems are implemented in larger scale fluid dynamical problems related to land surface, the atmosphere, ocean and other geophysical situations. The second edition of Data Assimilation for the Geosciences has been revised with up to date research that is going on in data assimilation, as well as how to apply the techniques. The new edition features an introduction of how machine learning and artificial intelligence are interfacing and aiding data assimilation. In addition to appealing to students and researchers across the geosciences, this now also appeals to new students and scientists in the field of data assimilation as it will now have even more information on the techniques, research, and applications, consolidated into one source. Includes practical exercises and solutions enabling readers to apply theory in both a theoretical formulation as well as enabling them to code theory Provides the mathematical and statistical background knowledge needed to formulate data assimilation systems into one place New to this edition: covers new topics such as Observing System Experiments (OSE) and Observing System Simulation Experiments; and expanded approaches for machine learning and artificial intelligence
