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An Invariant Approach to Statistical Analysis of Shapes, Lele, Subhash R. , Richtsmeier, Joan T.


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Автор: Lele, Subhash R. , Richtsmeier, Joan T.
Название:  An Invariant Approach to Statistical Analysis of Shapes
ISBN: 9780367397630
Издательство: Taylor&Francis
Классификация:

ISBN-10: 0367397633
Обложка/Формат: Paperback
Страницы: 324
Вес: 0.60 кг.
Дата издания: 27.09.2019
Серия: Chapman & Hall/CRC Interdisciplinary Statistics
Язык: English
Размер: 231 x 155 x 20
Читательская аудитория: Professional & vocational
Основная тема: Statistical Theory & Methods
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

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 decades worth of innovative methods, observations, and insights to an audience of both statisticians and biologists.



Geometric Invariant Theory for Polarized Curves

Автор: Gilberto Bini; Fabio Felici; Margarida Melo; Filip
Название: Geometric Invariant Theory for Polarized Curves
ISBN: 3319113364 ISBN-13(EAN): 9783319113364
Издательство: Springer
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Цена: 32600.00 T
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Описание:

Introduction.- Singular Curves.- Combinatorial Results.- Preliminaries on GIT.- Potential Pseudo-stability Theorem.- Stabilizer Subgroups.- Behavior at the Extremes of the Basic Inequality.- A Criterion of Stability for Tails.- Elliptic Tails and Tacnodes with a Line.- A Strati_cation of the Semistable Locus.- Semistable, Polystable and Stable Points (part I).- Stability of Elliptic Tails.- Semistable, Polystable and Stable Points (part II).- Geometric Properties of the GIT Quotient.- Extra Components of the GIT Quotient.- Compacti_cations of the Universal Jacobian.- Appendix: Positivity Properties of Balanced Line Bundles.


Invariant Measures for Stochastic Nonlinear Schr?dinger Equations

Автор: Jialin Hong; Xu Wang
Название: Invariant Measures for Stochastic Nonlinear Schr?dinger Equations
ISBN: 9813290684 ISBN-13(EAN): 9789813290686
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book provides some recent advance in the study of stochastic nonlinear Schr?dinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity. It gives an accessible overview of the existence and uniqueness of invariant measures for stochastic differential equations, introduces geometric structures including symplecticity and (conformal) multi-symplecticity for nonlinear Schr?dinger equations and their numerical approximations, and studies the properties and convergence errors of numerical methods for stochastic nonlinear Schr?dinger equations.

This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.

Geometric invariant theory

Автор: Wallach, Nolan R.
Название: Geometric invariant theory
ISBN: 3319659057 ISBN-13(EAN): 9783319659053
Издательство: Springer
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Цена: 55890.00 T
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Описание: Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. It contains two chapters developing material in complex and real algebraic geometry and algebraic groups that are difficult to find in the literature.

Normally hyperbolic invariant manifolds in dynamical systems

Автор: Wiggins, Stephen
Название: Normally hyperbolic invariant manifolds in dynamical systems
ISBN: 1461287340 ISBN-13(EAN): 9781461287346
Издательство: Springer
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Цена: 74490.00 T
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Описание: An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds.

Invariant Theory

Автор: F. Gherardelli
Название: Invariant Theory
ISBN: 3540123199 ISBN-13(EAN): 9783540123194
Издательство: Springer
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Цена: 23280.00 T
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Invariant Probabilities of Transition Functions

Автор: Radu Zaharopol
Название: Invariant Probabilities of Transition Functions
ISBN: 3319057227 ISBN-13(EAN): 9783319057224
Издательство: Springer
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Цена: 102480.00 T
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Описание: The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book.

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 1461273072 ISBN-13(EAN): 9781461273073
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Classical invariant theory

Автор: Olver, Peter J. (university Of Minnesota)
Название: Classical invariant theory
ISBN: 0521558212 ISBN-13(EAN): 9780521558211
Издательство: Cambridge Education
Цена: 66790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is a self-contained introduction to the results and computational methods in classical invariant theory. It relies on minimal mathematical prerequisites, and can be read by advanced undergraduate or graduate students. A variety of innovations will also make the book of interest to specialists and researchers.

Invariant Random Fields on Spaces with a Group Action

Автор: Anatoliy Malyarenko; Nicolai Leonenko
Название: Invariant Random Fields on Spaces with a Group Action
ISBN: 3642444504 ISBN-13(EAN): 9783642444500
Издательство: Springer
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Цена: 79150.00 T
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Описание: This book unifies much research scattered in the literature, and introduces new results first proved by the author. Also presents practical applications, in such highly interesting areas as approximation theory, cosmology and earthquake engineering.

The Geometric Hopf Invariant and Surgery Theory

Автор: Crabb
Название: The Geometric Hopf Invariant and Surgery Theory
ISBN: 3319713051 ISBN-13(EAN): 9783319713052
Издательство: Springer
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Цена: 130430.00 T
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Описание: Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature.


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