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Many phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that mathematical models can be properly formulated and analysed, and the phenomena in question can be more deeply understood. In this 2003 book, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural attributes of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.
Scaling Impact introduces a new and practical approach to scaling the positive impacts of research and innovation. Inspired by leading scientific and entrepreneurial innovators from across Africa, Asia, the Caribbean, Latin America, and the Middle East, this book presents a synthesis of unrivalled diversity and grounded ingenuity. The result is a different perspective on how to achieve impact that matters, and an important challenge to the predominant more-is-better paradigm of scaling. For organisations and individuals working to change the world for the better, scaling impact is a common goal and a well-founded aim. The world is changing rapidly, and seemingly intractable problems like env...
Effective measurement is a cornerstone of scientific research. Yet many social science researchers lack the tools to develop appropriate assessment instruments for the measurement of latent social-psychological constructs. Scaling Procedures: Issues and Applications examines the issues involved in developing and validating multi-item self-report scales of latent constructs. Distinguished researchers and award-winning educators Richard G. Netemeyer, William O. Bearden, and Subhash Sharma present a four-step approach for multi-indicator scale development. With these steps, the authors include relevant empirical examples and a review of the concepts of dimensionality, reliability, and validity....
Multidimensional scaling (MDS) is a technique for the analysis of similarity or dissimilarity data on a set of objects. Such data may be intercorrelations of test items, ratings of similarity on political candidates, or trade indices for a set of countries. MDS attempts to model such data as distances among points in a geometric space. The main reason for doing this is that one wants a graphical display of the structure of the data, one that is much easier to understand than an array of numbers and, moreover, one that displays the essential information in the data, smoothing out noise. There are numerous varieties of MDS. Some facets for distinguishing among them are the particular type of g...
Basic concepts of multidimensional scaling; Interpretation of the configuration; Dimensionality; Three way multidimensional scaling; Preparing the input for multidimensional scaling.
Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory, and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium. Numerous examples from a diverse range of fields, including theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are presented for which the ideas of scaling, intermediate asymptotics, self-similarity, and renormalisation were of decisive value in modelling.
Allometry, the study of the growth rate of an organism's parts in relation to the whole, has produced exciting results in research on animals. Now distinguished plant biologist Karl J. Niklas has written the first book to apply allometry to studies of the evolution, morphology, physiology, and reproduction of plants. Niklas covers a broad spectrum of plant life, from unicellular algae to towering trees, including fossil as well as extant taxa. He examines the relation between organic size and variations in plant form, metabolism, reproduction, and evolution, and draws on the zoological literature to develop allometric techniques for the peculiar problems of plant height, the relation between body mass and body length, and size-correlated variations in rates of growth. For readers unfamiliar with the basics of allometry, an appendix explains basic statistical methods. For botanists interested in an original, quantitative approach to plant evolution and function, and for zoologists who want to learn more about the value of allometric techniques for studying evolution, Plant Allometry makes a major contribution to the study of plant life.
The scaling issue remains one of the largest problems in soil science and hydrology. This book is a unique compendium of ideas, conceptual approaches, techniques, and methodologies for scaling soil physical properties. Scaling Methods in Soil Physics covers many methods of scaling that will be useful in helping scientists across a range of soil-rel
Several books have been published on scaling in biology and its ramifications in the animal kingdom. However, none has specifically examined the multifaceted effects of how changes in human height create disproportionately larger changes in weight, surface area, strength and other physiological parameters. Yet, the impact of these non-linear effects on individual humans as well as our world's environment is enormous. Since increasing human body size has widespread ramifications, this book presents findings on the human species and its ecological niche. its community and how the species interacts with its environment. Thus, a few chapters provide an ecological overview of how increasing human body size relates to human evolution, fitness, health, survival and the environment. This book provides a unique purview of the laws of scaling on human performance, health, longevity and the environment. Numerous examples from various research disciplines are used to illustrate the impact of increasing body size on many aspects of human enterprises, including work output, athletics and intellectual performance.