Methods of Randomization in Experimental Design

Econophysics applies the methodology of physics to the study of economics. However, whilst physicists have good understanding of statistical physics, they may be unfamiliar with recent advances in statistical conjectures, including Bayesian and predictive methods. Equally, economists with knowledge of probabilities do not have a background in statistical physics and agent-based models. Proposing a unified view for a dynamic probabilistic approach, this book is useful for advanced undergraduate and graduate students as well as researchers in physics, economics and finance. The book takes a finitary approach to the subject, discussing the essentials of applied probability, and covering finite Markov chain theory and its applications to real systems. Each chapter ends with a summary, suggestions for further reading, and exercises with solutions at the end of the book.

Geodynamics is the study of the deformation and flow of the solid Earth and other planetary interiors. Focusing on the Earth's mantle, this book provides a comprehensive, mathematically advanced treatment of the continuum mechanics of mantle processes and the craft of formulating geodynamical models to approximate them. Topics covered include slow viscous flow, elasticity and viscoelasticity, boundary-layer theory, long-wave theories including lubrication theory and shell theory, two-phase flow, and hydrodynamic stability and thermal convection. A unifying theme is the utility of powerful general methods (dimensional analysis, scaling analysis, and asymptotic analysis) that can be applied in many specific contexts. Featuring abundant exercises with worked solutions for graduate students and researchers, this book will make a useful resource for Earth scientists and applied mathematicians with an interest in mantle dynamics and geodynamics more broadly.

What is experimental music today? Recent attempts to define or identify examples of experimental music have been cautious and subjective, offering very little guidance to anyone with an interest in th

What is experimental music today? Recent attempts to define or identify examples of experimental music have been cautious and subjective, offering very little guidance to anyone with an interest in th

In Methods in Latin Computational Linguistics, Barbara McGillivray presents some of the methodological foundations of Latin Computational Linguistics through three corpus case studies covering morpho-

Gorard (social sciences, University of Wales) emphasizes the importance of selecting appropriate techniques and understanding their potential and their limitations, stressing that quantitative and qua

Numerical Modeling in Biomedical Engineering brings together the integrative set of computational problem solving tools important to biomedical engineers. Through the use of comprehensive homework ex

This is the first book to explain how to use key methods in analytical political theory. The methods discussed include contractualism, reflective equilibrium, positive political theory, thought experiments and ideological analysis. Many discussions of political theory methods describe and justify these methods with little or no discussion of their application, emphasizing 'what is' and 'why do' over 'how to'. This book covers all three. Each chapter explains what kinds of problems in political theory might require researchers to use a particular method, the basic principles behind the method being proposed, and an analysis of how to apply it, including concrete principles of good practice. The book thus summarizes methodological ideas, grouped in one place and made accessible to students, and it makes innovative contributions to research methods in analytical political theory.

This is the first book to explain how to use key methods in analytical political theory. The methods discussed include contractualism, reflective equilibrium, positive political theory, thought experiments and ideological analysis. Many discussions of political theory methods describe and justify these methods with little or no discussion of their application, emphasizing 'what is' and 'why do' over 'how to'. This book covers all three. Each chapter explains what kinds of problems in political theory might require researchers to use a particular method, the basic principles behind the method being proposed, and an analysis of how to apply it, including concrete principles of good practice. The book thus summarizes methodological ideas, grouped in one place and made accessible to students, and it makes innovative contributions to research methods in analytical political theory.

With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.

This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.

This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.

The considerable influence of inherent uncertainties on structural behavior has led the engineering community to recognize the importance of a stochastic approach to structural problems. Issues relate

The value of analytical solutions relies on the rigorous formulation, and a strong mathematical background. This comprehensive volume unifies the most important geometries, which allow for the development of analytical solutions for hydrodynamic boundary value problems. It offers detailed explanations of the Laplance domain and numerical results associated with such problems, providing deep insight into the theory of hydrodynamics. Extended numerical calculations are provided and discussed, allowing the reader to use them as benchmarks for their own computations and making this an invaluable resource for specialists in in various disciplines, including hydrodynamics, acoustics, optics, electrostatics, and brain imaging.

Artificial intelligence has recently turned to formal logic in the search for powerful yet well-behaved knowledge representation languages. This book covers the background of classical logic, including the major meta-theorems, and the state of the art in theorem proving including Bibel's connection method. Also covered are the advanced adaptations of classical logic now being used in artificial intelligence - temporal and modal logics, reason maintenance and intensional logic. First published in 1988, the book covers a wider range of topics than the currently available books in this area, and is more directly aimed at workers in artificial intelligence.

This book presents a self-contained, comprehensive, and yet concise and condensed overview of the theory and methods of probability, integration, stochastic processes, optimal control, and their conne

Since the publication of the benchmark first edition of this book, chemical library and combinatorial chemistry methods have developed into mature technologies. There have also been significant shifts

Methods in Social Epidemiology (second edition) introduces students and researchers to theory and methods of social epidemiology. Social epidemiology is the branch of epidemiology that considers how s

Since the publication of the benchmark first edition of this book, chemical library and combinatorial chemistry methods have developed into mature technologies. There have also been significant shifts

Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book provides readers with a superior understanding of

Papers of the April 27-May 1, 1992 San Francisco, Calif. symposium, on modeling, polymers, ceramics and semiconductors, mechanical and materials properties, structures of surfaces and interfaces, depo

This book examines the full range of feminist research methods and explores the relationship between feminism and methodology, challenges existing stereotypes, and explains the historic origins of cur

This rewritten, expanded and updated 7th edition of the long-running bestsellerResearch Methods in Education encompasses the whole range of methods currently employed by educational research at all st

Given the complexity of food products, most instrumental techniques employed for quality and authenticity evaluation are time demanding, expensive and involve a lot of manual labor. Therefore, there h

This volume presents state-of-the-art methods for reliable detection of epigenetic changes in the nervous system.Epigenetic Methods in Neuroscience Research guides readers through methods for the anal

This book shows how to use a range of critical approaches to do research on terrorism.It includes a diverse range of critical methodological approaches – including discourse analysis, feminist, postco

This book shows how to use a range of critical approaches to do research on terrorism.It includes a diverse range of critical methodological approaches – including discourse analysis, feminist, postco

Recent years have witnessed growing interest in a series of issues related to migration, including identity formation and change, the role of social capital and social networks, ethnic discrimination,

“This is an excellent addition to the literature of integrated methodology. The author has skillfully integrated diverse ways of thinking about mixed methods into a comprehensive and meaningful framew

In the field of molecular evolution, inferences about past evolutionary events are made using molecular data from currently living species. With the availability of genomic data from multiple related

This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily at logisticians in mathematics, philosophy, computer science and

This rigorous but brilliantly lucid book presents a self-contained treatment of modern economic dynamics. Stokey, Lucas, and Prescott develop the basic methods of recursive analysis and illustrate th

This book covers all aspects of statistical methods in detail with applications. It presents solutions to the needs of post-graduate medical students, doctors and basic medical scientists for statisti

Due to continuous technical developments and new insights into the high complexity of neurological diseases, there is an increasing need for the application of proteomic technologies which can yield p

The book describes statistical methods in comparative effectiveness research (CER) that address the generation and analysis of new evidence, as well as the synthesis of existing evidence. The book inc

The second edition of this popular text confirms the book’s status as an important forerunner in the field of visual methods.Combining the theoretical, practical and technical the authors discuss chan

The second edition of this popular text confirms the book’s status as an important forerunner in the field of visual methods.Combining the theoretical, practical and technical the authors discuss chan

This rewritten, expanded and updated 7th edition of the long-running bestseller Research Methods in Education encompasses the whole range of methods currently employed by educational research at all s