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Rough Sets and Current Trends in Computing ; 6th International Conference, RSCTC 2008 Akron, OH, USA, October 23-25, 2008 Proceedings
This book is organized in topical sections on logical and mathematical foundations, data analysis, data mining, decision support systems, clustering, pattern recognition and image processing, as well as bioinformatics. The three special session papers cover topics such as rough sets in data warehousing, classification challenges in email archiving, and approximation theories: granular computing vs. rough sets.
Robust Signal Processing for Wireless Communications
This book treats the robust design of signal processing algorithms for wireless communications which are based on an incomplete model of the propagation channel. The systematic treatment of this practical problem focuses on signal processing tasks in the physical layer with multiple antennas and relies on a description of the errors and uncertainties in the system's model. It applies principles of modern estimation, optimization, and information theory. Tutorial introductions to relevant literature and mathematical foundations provide the necessary background and context to the reader.
Robotic Exploration and Landmark Determination : Hardware-Efficient Algorithms and FPGA Implementations
This book presents hardware-efficient algorithms and FPGA implementations for two robotic tasks, namely exploration and landmark determination. The work identifies scenarios for mobile robotics where parallel processing and selective shutdown offered by FPGAs are invaluable. The book proceeds to systematically develop memory-driven VLSI architectures for both the tasks. The architectures are ported to a low-cost FPGA with a fairly small number of system gates. A robot fabricated with this FPGA on-board serves to validate the efficacy of the approach. Numerous experiments with the robot are reported.
Robot Cognition and Navigation : An Experiment with Mobile Robots
In this book the author employs a cybernetic view of robot cognition and perception as he examines mobile robot simulations, realizations and experiments, and explains the related mathematical models and algorithms.
Risk and Variability in Geotechnical Engineering
Presents cutting edge techniques for characterising, quantifying and modelling geomaterial variability in addition to methods for quantifying the influence of this variability on the performance of geotechnical structures. It includes state-of-the-art refereed journal papers by leading international researchers along with written and informal discussions on a selection of key submissions that were presented at a Symposium at the Institution of Civil Engineers on 9th May 2005.
Rigid Body Dynamics Algorithms
It explains how to model a rigid-body system and how to analyze it, and it presents the most comprehensive collection of the best rigid-body dynamics algorithms to be found in a single source. The use of spatial vector notation greatly reduces the volume of algebra which allows systems to be described using fewer equations and fewer quantities. It also allows problems to be solved in fewer steps, and solutions to be expressed more succinctly. In addition algorithms are explained simply and clearly, and are expressed in a compact form. The use of spatial vector notation facilitates the implementation of dynamics algorithms on a computer: shorter, simpler code that is easier to write, understand and debug, with no loss of efficiency.
Riemannian Geometry and Geometric Analysis ; 5th ed.
This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry.
Riemannian Geometry and Geometric Analysis ; 4th ed.
Offering some topics of contemporary mathematical research, this fourth edition provides an introduction to Riemannian geometry and geometric analysis. It focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, and the existence of harmonic mappings. It also includes an introduction to Kahler geometry.
Rhythm and Transforms
People quite naturally identify the rhythmic structure of music as they tap their feet and sway in time with the beat. Underlying such mundane motions is an act of cognition that is not easily reproduced in a computer program or automated by machine. Rhythm and Transforms asks (and answers) the question: How can we build a device that can "tap its foot" along with the music? The result is a tool for detecting and measuring the temporal aspects of a musical performance: the periodicities, the regularities (and irregularities), the beat, the rhythm. The impact of such a "rhythm meter" on music theory and on the design of sound processing electronics such as musical synthesizers, drum machines, and special effects devices is described. The "rhythm meter" provides a concrete basis for a discussion of the relationship between the cognitive processing of temporal information and the mathematical techniques used to describe and understand regularities in data.
Rewriting Techniques and Applications; 19th International Conference, RTA 2008 Hagenberg, Austria, July 15-17, 2008 Proceedings
The book covers current research on all aspects of rewriting including typical areas of interest such as applications, foundational issues, frameworks, implementations, and semantics.
Research Problems in Discrete Geometry
Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.
Research on and activities for mathematically gifted students
It first discusses research concerning the nature of mathematical giftedness, including theoretical frameworks and methodologies that are helpful in identifying and/or creating mathematically gifted students, which is described in this section. It also focuses on research on and the development of mathematical talent and innovation in students, including connections between cognitive, social and affective aspects of mathematically gifted students. Exemplary teaching and learning practices, curricula and a variety of programs that contribute to the development of mathematical talent, gifts, and passion are described as well as the pedagogy and mathematics content suitable for educating pre-service and in-service teachers of mathematically gifted students.
Representations, Wavelets, and Frames : A Celebration of the Mathematical Work of Lawrence W. Baggett
Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis). Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers.
Remote sensing in applications of geoinformation
Involves combining data provided from both, in a consistent and sensible manner. This process has been accelerated by technologically advanced tools and methods for remote sensing data access and integration, paving the way for scientific advances in a broadening range of remote sensing exploitations in applications of geoinformation. This volume hosts original research focusing on the exploitation of remote sensing in applications of geoinformation. The emphasis is on a wide range of applications, such as the mapping of soil nutrients, detection of plastic litter in oceans, urban microclimate, seafloor morphology, urban forest ecosystems, real estate appraisal, inundation mapping, and solar potential analysis.
Remote Sensing Image Analysis : Including the Spatial Domain
This book presents a wide range of innovative and advanced image processing methods for including spatial information, captured by neighbouring pixels in remotely sensed images, to improve image interpretation or image classification. Presented methods include different types of variogram analysis, various methods for texture quantification, smart kernel operators, pattern recognition techniques, image segmentation methods, sub-pixel methods, wavelets and advanced spectral mixture analysis techniques. Apart from explaining the working methods in detail a wide range of applications is presented covering land cover and land use mapping, environmental applications such as heavy metal pollution, urban mapping and geological applications to detect hydrocarbon seeps.
Remote Sensing Digital Image Analysis : An Introduction
Remote Sensing Digital Image Analysis provides the non-specialist with an introduction to quantitative evaluation of satellite and aircraft derived remotely retrieved data. Each chapter covers the pros and cons of digital remotely sensed data, without detailed mathematical treatment of computer based algorithms, but in a manner conductive to an understanding of their capabilities and limitations.
Reminiscences of a Statistician : The Company I Kept
This relatively nontechnical book is the first account of the history of statistics from the Fisher revolution to the computer revolution. It sketches the careers, and highlights of some of the work, of 65 people, most of them statisticians. What gives the book its special character is its emphasis on the author's interaction with these people and the inclusion of many personal anecdotes. Combined, these portraits provide a panoramic view of statistics during the period in question. Included are discussions of such topics as nonparametrics, Bayesian approaches, and data analysis. The stress is on ideas and technical material is held to a minimum. Thus the book is accessible to anyone with at least an elementary background in statistics.
Reliability and Six Sigma
Reliability and Six Sigma is a carefully developed integration of mathematical models that relate Six Sigma and reliability measures. Case studies further integrate the material throughout the book to illustrate the application of the models.
Relativity and the Dimensionality of the World
The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension.
Relativistic Quantum Mechanics
In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics as well as classical relativistic mechanics appear as special cases. They are the sources of familiar names such as "orbital angular momentum", "spin-orbit coupling" and "magnetic moment" for operators of the relativistic quantum formalism. The theory of binaries, in terms of differential equations, is treated for the first time in this book. These have the mathematical structure of the corresponding one-body equations (Klein-Gordon for two spinless particles, Dirac for two spinor particles) with a relativistically reduced mass. They allow the calculation of radiative corrections via the vector potential operator. This second edition of the successful textbook adds various new sections on relativistic quantum chemistry and on the relativistic treatment of the proton in hydrogen. Others chapters have been expanded, e.g. on hyperfinite interactions, or carefully revisited.
