Modelling of Patterns in Space and Time

Modelling of Patterns in Space and Time

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  • Author: W. Jäger
  • Publisher: Springer Science & Business Media
  • ISBN: 3642455891
  • Category : Science
  • Languages : en
  • Pages : 417

This volume contains a selection of papers presented at the work shop "Modelling of Patterns in Space and Time", organized by the 80nderforschungsbereich 123, "8tochastische Mathematische Modelle", in Heidelberg, July 4-8, 1983. The main aim of this workshop was to bring together physicists, chemists, biologists and mathematicians for an exchange of ideas and results in modelling patterns. Since the mathe matical problems arising depend only partially on the particular field of applications the interdisciplinary cooperation proved very useful. The workshop mainly treated phenomena showing spatial structures. The special areas covered were morphogenesis, growth in cell cultures, competition systems, structured populations, chemotaxis, chemical precipitation, space-time oscillations in chemical reactors, patterns in flames and fluids and mathematical methods. The discussions between experimentalists and theoreticians were especially interesting and effective. The editors hope that these proceedings reflect at least partially the atmosphere of this workshop. For the convenience of the reader, the papers are ordered alpha betically according to authors. However, the table of contents can easily be grouped into the main topics of the workshop. For practical reasons it was not possible to reproduce in colour the beautiful pictures of patterns shown at the workshop. Since a larger number of half-tone pictures could be included in this volume, the loss of information has, however, been kept to a minimum. The workshop has already stimulated cooperation between its parti cipants and this volume is intended to spread this effect.


Modelling of Patterns in Space and Time

Modelling of Patterns in Space and Time

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  • Author: Willi Jäger
  • Publisher:
  • ISBN: 9780387138923
  • Category : Biology
  • Languages : en
  • Pages : 405


Handbook of Environmental and Ecological Statistics

Handbook of Environmental and Ecological Statistics

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  • Author: Alan E. Gelfand
  • Publisher: CRC Press
  • ISBN: 1351648543
  • Category : Mathematics
  • Languages : en
  • Pages : 679

This handbook focuses on the enormous literature applying statistical methodology and modelling to environmental and ecological processes. The 21st century statistics community has become increasingly interdisciplinary, bringing a large collection of modern tools to all areas of application in environmental processes. In addition, the environmental community has substantially increased its scope of data collection including observational data, satellite-derived data, and computer model output. The resultant impact in this latter community has been substantial; no longer are simple regression and analysis of variance methods adequate. The contribution of this handbook is to assemble a state-of-the-art view of this interface. Features: An internationally regarded editorial team. A distinguished collection of contributors. A thoroughly contemporary treatment of a substantial interdisciplinary interface. Written to engage both statisticians as well as quantitative environmental researchers. 34 chapters covering methodology, ecological processes, environmental exposure, and statistical methods in climate science.


Ten Patterns That Explain the Universe

Ten Patterns That Explain the Universe

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  • Author: Brian Clegg
  • Publisher: National Geographic Books
  • ISBN: 0262542862
  • Category : Science
  • Languages : en
  • Pages : 0

How patterns--from diagrams of spacetime to particle trails revealed by supercolliders--offer clues to the fundamental workings of the physical world. Our universe might appear chaotic, but deep down it's simply a myriad of rules working independently to create patterns of action, force, and consequence. In Ten Patterns That Explain the Universe, Brian Clegg explores the phenomena that make up the very fabric of our world by examining ten essential sequenced systems. From diagrams that show the deep relationships between space and time to the quantum behaviors that rule the way that matter and light interact, Clegg shows how these patterns provide a unique view of the physical world and its fundamental workings. Guiding readers on a tour of our world and the universe beyond, Clegg describes the cosmic microwave background, sometimes called the "echo of the big bang," and how it offers clues to the universe's beginnings; the diagrams that illustrate Einstein's revelation of the intertwined nature of space and time; the particle trail patterns revealed by the Large Hadron Collider and other accelerators; and the simple-looking patterns that predict quantum behavior (and decorated Richard Feynman's van). Clegg explains how the periodic table reflects the underlying pattern of the configuration of atoms, discusses the power of the number line, demonstrates the explanatory uses of tree diagrams, and more.


Space, Time and Number in the Brain

Space, Time and Number in the Brain

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  • Author: Stanislas Dehaene
  • Publisher: Academic Press
  • ISBN: 0123859492
  • Category : Medical
  • Languages : en
  • Pages : 374

The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields


Running Rome and its Empire

Running Rome and its Empire

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  • Author: Antonio Lopez Garcia
  • Publisher: Taylor & Francis
  • ISBN: 1003813968
  • Category : History
  • Languages : en
  • Pages : 343

This volume explores the transformation of public space and administrative activities in republican and imperial Rome through an interdisciplinary examination of the topography of power. Throughout the Roman world building projects created spaces for different civic purposes, such as hosting assemblies, holding senate meetings, the administration of justice, housing the public treasury, and the management of the city through different magistracies, offices, and even archives. These administrative spaces – both open and closed – characterised Roman life throughout the Republic and High Empire until the administrative and judicial transformations of the fourth century CE. This volume explores urban development and the dynamics of administrative expansion, linking them with some of the most recent archaeological discoveries. In doing so, it examines several facets of the transformation of Roman administration over this period, considering new approaches to and theories on the uses of public space and incorporating new work in Roman studies that focuses on the spatial needs of human users, rather than architectural style and design. This fascinating collection of essays is of interest to students and scholars working on Roman space and urbanism, Roman governance, and the running of the Roman Empire more broadly.


Spatial Simulation

Spatial Simulation

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  • Author: David O'Sullivan
  • Publisher: John Wiley & Sons
  • ISBN: 1118527070
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 348

A ground-up approach to explaining dynamic spatial modelling for an interdisciplinary audience. Across broad areas of the environmental and social sciences, simulation models are an important way to study systems inaccessible to scientific experimental and observational methods, and also an essential complement to those more conventional approaches. The contemporary research literature is teeming with abstract simulation models whose presentation is mathematically demanding and requires a high level of knowledge of quantitative and computational methods and approaches. Furthermore, simulation models designed to represent specific systems and phenomena are often complicated, and, as a result, difficult to reconstruct from their descriptions in the literature. This book aims to provide a practical and accessible account of dynamic spatial modelling, while also equipping readers with a sound conceptual foundation in the subject, and a useful introduction to the wide-ranging literature. Spatial Simulation: Exploring Pattern and Process is organised around the idea that a small number of spatial processes underlie the wide variety of dynamic spatial models. Its central focus on three ‘building-blocks’ of dynamic spatial models – forces of attraction and segregation, individual mobile entities, and processes of spread – guides the reader to an understanding of the basis of many of the complicated models found in the research literature. The three building block models are presented in their simplest form and are progressively elaborated and related to real world process that can be represented using them. Introductory chapters cover essential background topics, particularly the relationships between pattern, process and spatiotemporal scale. Additional chapters consider how time and space can be represented in more complicated models, and methods for the analysis and evaluation of models. Finally, the three building block models are woven together in a more elaborate example to show how a complicated model can be assembled from relatively simple components. To aid understanding, more than 50 specific models described in the book are available online at patternandprocess.org for exploration in the freely available Netlogo platform. This book encourages readers to develop intuition for the abstract types of model that are likely to be appropriate for application in any specific context. Spatial Simulation: Exploring Pattern and Process will be of interest to undergraduate and graduate students taking courses in environmental, social, ecological and geographical disciplines. Researchers and professionals who require a non-specialist introduction will also find this book an invaluable guide to dynamic spatial simulation.


Proceedings of the International Symposium on Computer Mapping in Epidemiology and Environmental Health

Proceedings of the International Symposium on Computer Mapping in Epidemiology and Environmental Health

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  • Author:
  • Publisher:
  • ISBN:
  • Category : Environmental health
  • Languages : en
  • Pages : 376


Spatial Point Patterns

Spatial Point Patterns

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  • Author: Adrian Baddeley
  • Publisher: CRC Press
  • ISBN: 1482210215
  • Category : Mathematics
  • Languages : en
  • Pages : 830

Modern Statistical Methodology and Software for Analyzing Spatial Point PatternsSpatial Point Patterns: Methodology and Applications with R shows scientific researchers and applied statisticians from a wide range of fields how to analyze their spatial point pattern data. Making the techniques accessible to non-mathematicians, the authors draw on th


New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

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  • Author: Pierre Coullet
  • Publisher: Springer Science & Business Media
  • ISBN: 1468474790
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 341

The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.