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Abstract: With the many questions raised by the discovery, about a decade ago, that the universe is in an accelerating phase of expansion, it is clear that cosmological N-body simulations will continue to play a key role in unravelling this mysterious phenomenon. Historically, the first generation of cosmological N-body codes were tested and verified using self-similar models for dark matter clustering that have special "scale-free" properties. These models, in addition to allowing novel tests of numerical accuracy, are also interesting as fundamental problems and have been insightful in illuminating the non-linear physics of cosmological structure formation. In this thesis I return to this theme, in the first part investigating in considerable detail a new class of self-similar dark matter clustering models with a large-scale clustering feature that closely resembles baryonic acoustic oscillations (BAO) - a key distance indicator for dark energy studies. The non-linear physics of this simplified model was investigated using cosmological N-body simulations and the results compared both to perturbation theory and a phenomenological model. In these comparisons the phenomenological model and one of the two perturbation theory models discussed generally matched the simulation data quite well - more specifically the "SimpleRG" perturbation theory scheme of McDonald (2007) was remarkably accurate. I also carried out (for the first time) a suite of numerical tests with this new self-similar model, concluding that with modest numerical requirements, current N-body simulations will accurately model the non-linear evolution of a BAO-like feature even for a wide range of broadband spectral power. Importantly, this statement is true of the shift of the BAO clustering feature - a crucial systematic for dark energy studies. In the second half of this thesis, again making use of self-similar numerical tests, I evaluate an alternative method for setting up and running ensembles of cosmological N-body simulations developed by Sirko (2005) based on the ideas of Pen (1997). This method maintains correspondence between the actual and simulated real-space (rather than fourier space) properties of the cosmological model and accordingly allows the average density in each box to vary slightly from one realization to another. Extensive tests show that this approach gives indistinguishable results, compared to the standard method, for the mean dark matter and halo clustering properties but that the box-to-box variance of these statistics in the new method is much higher than expected, making the scheme substantially sub-optimal for most uses. I discuss the assumptions in the method which cause this and comment on a regime where the Sirko (2005) approach may be very useful.
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Effective visualization is the best way to communicate information from the increasingly large and complex datasets in the natural and social sciences. But with the increasing power of visualization software today, scientists, engineers, and business analysts often have to navigate a bewildering array of visualization choices and options. This practical book takes you through many commonly encountered visualization problems, and it provides guidelines on how to turn large datasets into clear and compelling figures. What visualization type is best for the story you want to tell? How do you make informative figures that are visually pleasing? Author Claus O. Wilke teaches you the elements most critical to successful data visualization. Explore the basic concepts of color as a tool to highlight, distinguish, or represent a value Understand the importance of redundant coding to ensure you provide key information in multiple ways Use the book’s visualizations directory, a graphical guide to commonly used types of data visualizations Get extensive examples of good and bad figures Learn how to use figures in a document or report and how employ them effectively to tell a compelling story
This comprehensive volume reviews the current theory and measurement of various parameters related to the evolution of the universe. Topics include inflation, string theory and the history of cosmology in the context of current measurements being made of the Hubble constant, matter density, and dark energy. Observational results are included from the Sloan, Digital Sky Survey, Keck, Magellan, cosmic microwave background experiments, Hubble space telescope and Chandra. Featuring chapters by leading authorities in the field, this book is a valuable resource for graduate students and professional research astronomers.
Since their discovery was first announced in 1973, gamma-ray bursts (GRBs) have been among the most fascination objects in the universe. While the initial mystery has gone, the fascination continues, sustained by the close connection linking GRBs with some of the most fundamental topics in modern astrophysics and cosmology. Both authors have been active in GRB observations for over two decades and have produced an outstanding account on both the history and the perspectives of GRB research.
Summary Gnuplot in Action, Second Edition is a major revision of this popular and authoritative guide for developers, engineers, and scientists who want to learn and use gnuplot effectively. Fully updated for gnuplot version 5, the book includes four pages of color illustrations and four bonus appendixes available in the eBook. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the Technology Gnuplot is an open-source graphics program that helps you analyze, interpret, and present numerical data. Available for Unix, Mac, and Windows, it is well-maintained, mature, and totally free. About the Book Gnuplot in Action, Second Edition is a major revision of this authoritative guide for developers, engineers, and scientists. The book starts with a tutorial introduction, followed by a systematic overview of gnuplot's core features and full coverage of gnuplot's advanced capabilities. Experienced readers will appreciate the discussion of gnuplot 5's features, including new plot types, improved text and color handling, and support for interactive, web-based display formats. The book concludes with chapters on graphical effects and general techniques for understanding data with graphs. It includes four pages of color illustrations. 3D graphics, false-color plots, heatmaps, and multivariate visualizations are covered in chapter-length appendixes available in the eBook. What's Inside Creating different types of graphs in detail Animations, scripting, batch operations Extensive discussion of terminals Updated to cover gnuplot version 5 About the Reader No prior experience with gnuplot is required. This book concentrates on practical applications of gnuplot relevant to users of all levels. About the Author Philipp K. Janert, PhD, is a programmer and scientist. He is the author of several books on data analysis and applied math and has been a gnuplot power user and developer for over 20 years. Table of Contents PART 1 GETTING STARTED Prelude: understanding data with gnuplot Tutorial: essential gnuplot The heart of the matter: the plot command PART 2 CREATING GRAPHS Managing data sets and files Practical matters: strings, loops, and history A catalog of styles Decorations: labels, arrows, and explanations All about axes PART 3 MASTERING TECHNICALITIES Color, style, and appearance Terminals and output formats Automation, scripting, and animation Beyond the defaults: workflow and styles PART 4 UNDERSTANDING DATA Basic techniques of graphical analysis Topics in graphical analysis Coda: understanding data with graphs
Aerosol Measurement: Principles, Techniques, and Applications Third Edition is the most detailed treatment available of the latest aerosol measurement methods. Drawing on the know-how of numerous expert contributors; it provides a solid grasp of measurement fundamentals and practices a wide variety of aerosol applications. This new edition is updated to address new and developing applications of aerosol measurement, including applications in environmental health, atmospheric science, climate change, air pollution, public health, nanotechnology, particle and powder technology, pharmaceutical research and development, clean room technology (integrated circuit manufacture), and nuclear waste management.
"Based on the 1984 Santa Cruz Astrophysics Workshop"--Verso t.p.
In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
The psychology classic—a detailed study of scientific theories of human nature and the possible ways in which human behavior can be predicted and controlled—from one of the most influential behaviorists of the twentieth century and the author of Walden Two. “This is an important book, exceptionally well written, and logically consistent with the basic premise of the unitary nature of science. Many students of society and culture would take violent issue with most of the things that Skinner has to say, but even those who disagree most will find this a stimulating book.” —Samuel M. Strong, The American Journal of Sociology “This is a remarkable book—remarkable in that it presents a strong, consistent, and all but exhaustive case for a natural science of human behavior…It ought to be…valuable for those whose preferences lie with, as well as those whose preferences stand against, a behavioristic approach to human activity.” —Harry Prosch, Ethics