The Measurement Of Biological Shape And Shape Change
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The Measurement Of Biological Shape And Shape Change
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Author : F. L. Bookstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13
The Measurement Of Biological Shape And Shape Change written by F. L. Bookstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Mathematics categories.
Wissenschaftlicher Briefwechsel Mit Bohr Einstein Heisenberg U A
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Author : Wolfgang Pauli
language : de
Publisher: Springer
Release Date : 1979-11-01
Wissenschaftlicher Briefwechsel Mit Bohr Einstein Heisenberg U A written by Wolfgang Pauli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-11-01 with Science categories.
An Invariant Approach To Statistical Analysis Of Shapes
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Author : Subhash R. Lele
language : en
Publisher: CRC Press
Release Date : 2001-01-19
An Invariant Approach To Statistical Analysis Of Shapes written by Subhash R. Lele and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-19 with Mathematics categories.
Natural scientists perceive and classify organisms primarily on the basis of their appearance and structure- their form , defined as that characteristic remaining invariant after translation, rotation, and possibly reflection of the object. The quantitative study of form and form change comprises the field of morphometrics. For morphometrics to succeed, it needs techniques that not only satisfy mathematical and statistical rigor but also attend to the scientific issues. An Invariant Approach to the Statistical Analysis of Shapes results from a long and fruitful collaboration between a mathematical statistician and a biologist. Together they have developed a methodology that addresses the importance of scientific relevance, biological variability, and invariance of the statistical and scientific inferences with respect to the arbitrary choice of the coordinate system. They present the history and foundations of morphometrics, discuss the various kinds of data used in the analysis of form, and provide justification for choosing landmark coordinates as a preferred data type. They describe the statistical models used to represent intra-population variability of landmark data and show that arbitrary translation, rotation, and reflection of the objects introduce infinitely many nuisance parameters. The most fundamental part of morphometrics-comparison of forms-receives in-depth treatment, as does the study of growth and growth patterns, classification, clustering, and asymmetry. Morphometrics has only recently begun to consider the invariance principle and its implications for the study of biological form. With the advantage of dual perspectives, An Invariant Approach to the Statistical Analysis of Shapes stands as a unique and important work that brings a decade's worth of innovative methods, observations, and insights to an audience of both statisticians and biologists.
Morphometrics In Evolutionary Biology
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Author : Fred L. Bookstein
language : en
Publisher:
Release Date : 1985
Morphometrics In Evolutionary Biology written by Fred L. Bookstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Science categories.
The Statistical Theory Of Shape
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Author : Christopher G. Small
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Statistical Theory Of Shape written by Christopher G. Small and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In general terms, the shape of an object, data set, or image can be de fined as the total of all information that is invariant under translations, rotations, and isotropic rescalings. Thus two objects can be said to have the same shape if they are similar in the sense of Euclidean geometry. For example, all equilateral triangles have the same shape, and so do all cubes. In applications, bodies rarely have exactly the same shape within measure ment error. In such cases the variation in shape can often be the subject of statistical analysis. The last decade has seen a considerable growth in interest in the statis tical theory of shape. This has been the result of a synthesis of a number of different areas and a recognition that there is considerable common ground among these areas in their study of shape variation. Despite this synthesis of disciplines, there are several different schools of statistical shape analysis. One of these, the Kendall school of shape analysis, uses a variety of mathe matical tools from differential geometry and probability, and is the subject of this book. The book does not assume a particularly strong background by the reader in these subjects, and so a brief introduction is provided to each of these topics. Anyone who is unfamiliar with this material is advised to consult a more complete reference. As the literature on these subjects is vast, the introductory sections can be used as a brief guide to the literature.
Fourier Descriptors And Their Applications In Biology
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Author : Pete E. Lestrel
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-13
Fourier Descriptors And Their Applications In Biology written by Pete E. Lestrel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-13 with Mathematics categories.
This book discusses the theory and the practice of using Fourier descriptors as a method for measuring the shape of whole, or parts of organisms.
Evolutionary Biology Of Ostracoda
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Author : N. Ikeya
language : en
Publisher: Elsevier
Release Date : 2011-10-10
Evolutionary Biology Of Ostracoda written by N. Ikeya and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-10 with Science categories.
There are many competitive works on the market concerning evolutionary biology, but this volume is quite distinctive in its idiographic aspect focusing on Ostracoda viewed from a wide range of disciplines, ages and environments. The book deals with various lines of idiographic biology and palaeontology of Ostracoda and nomothetic trials focusing strongly on evolutionary biology. Particular themes are morphology, biology, evolution, speciation, ecology, palaeoecology, deep sea fauna, biogeography, palaeobiogeography, biostratigraphy and exploration, all concerning Ostracoda. The last decade has witnessed a spectacular renewal of interest in the study of Otracoda, particularly in the evolutionary biology of Ostracoda, including speciation. Ostracoda are unique, ranging in age from the Cambrian period to modern times with carapaces ready to be preserved as fossils, providing various lines of invaluable evidence regarding evolutionary processes. More than 120 participants from 20 countries assembled at the Ninth International Symposium on Ostracoda and this book is a collection of all the papers presented at the Symposium, plus selected papers submitted by non-attending members. It presents an outstanding record of much pioneering research and will be of interest to specalists in Ostracoda as well as all earth and life scientists concerned with evolution. Its value is further enhanced by easy-to-use indexes of authors, localities and taxa.
Frontiers In Mathematical Biology
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Author : Simon A. Levin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13
Frontiers In Mathematical Biology written by Simon A. Levin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Mathematics categories.
From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.
Fundamentals Of Craniofacial Growth
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Author : Andrew D. Dixon
language : en
Publisher: CRC Press
Release Date : 2017-12-14
Fundamentals Of Craniofacial Growth written by Andrew D. Dixon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-14 with Science categories.
This book brings together in one volume selected important topics in craniofacial growth. Topics include: principles of skeletal growth; osteogenesis and its control; formation of the cranial base and craniofacial joints; prenatal development of the facial skeleton; growth of the mandible, nasomaxillary complex, orbit, cranial base, ear capsule, and cranial vault; bone remodeling; muscles; soft tissues; and blood vessels. Fundamentals of Craniofacial Growth contains detailed illustrations and extensive reference lists. Independently authored chapters provide comprehensive reviews encompassing both contemporary and historical perspectives. In addition to medicine and dentistry, contributors provide expertise from such diverse backgrounds as anatomy, biology, biomathematics, embryology, orthodontics, physical anthropology, and plastic and reconstructive surgery.
Palaeopathology In Egypt And Nubia
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Author : Ryan Metcalfe
language : en
Publisher: Archaeopress Publishing Ltd
Release Date : 2014-12-31
Palaeopathology In Egypt And Nubia written by Ryan Metcalfe and has been published by Archaeopress Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-31 with Social Science categories.
16 papers explore the subject of palaeopathology in Egypt and Nubia from its beginnings in the early 1900s through to current research themes and the impact of technological development in the field.