-PDF Download- Variation In P EBOOK

Differentiability of Six Operators on Nonsmooth Functions and P-Variation

Author: R. M. Dudley

Publisher: Springer Science & Business

Published: 1999-06-21

Total Pages: 300

ISBN-13: 9783540659754

The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.

Variation

Author: Benedikt Hallgrímsson

Publisher: Elsevier

Published: 2011-05-04

Total Pages: 594

ISBN-13: 0080454461

DOWNLOAD EBOOK →

Darwin's theory of evolution by natural selection was based on the observation that there is variation between individuals within the same species. This fundamental observation is a central concept in evolutionary biology. However, variation is only rarely treated directly. It has remained peripheral to the study of mechanisms of evolutionary change. The explosion of knowledge in genetics, developmental biology, and the ongoing synthesis of evolutionary and developmental biology has made it possible for us to study the factors that limit, enhance, or structure variation at the level of an animals' physical appearance and behavior. Knowledge of the significance of variability is crucial to this emerging synthesis. Variation situates the role of variability within this broad framework, bringing variation back to the center of the evolutionary stage. Provides an overview of current thinking on variation in evolutionary biology, functional morphology, and evolutionary developmental biology Written by a team of leading scholars specializing on the study of variation Reviews of statistical analysis of variation by leading authorities Key chapters focus on the role of the study of phenotypic variation for evolutionary, developmental, and post-genomic biology

Calculus of Variation

Author:

Publisher: CUP Archive

Published: 1974

Total Pages: 688

ISBN-13:

DOWNLOAD EBOOK →

Studies on Variation in Portuguese

Author: Pilar Barbosa

Publisher: John Benjamins Publishing Company

Published: 2017-11-15

Total Pages: 353

ISBN-13: 9027265143

DOWNLOAD EBOOK →

Studies on Variation in Portuguese offers a collection of studies on a range of variable phenomena attested within and across varieties of Portuguese. The volume starts out with an overview of current issues in the study of intralinguistic variation and is divided in two parts. Part 1 is dedicated to research on variation within national varieties (Brazilian and European). Here, a multidimensional analysis that combines both the geographic and the social dimensions of variation emerges as a way to identify possible regional specificities and the directionality of some of the variants. Part 2 collects studies that compare the behavior of a particular linguistic variable across different varieties. The variable phenomena discussed concern several levels of grammar and are framed within different conceptions of variation, thus promoting confrontation of theoretical and methodological alternatives. Overall, the volume constitutes a significant contribution to the essential question of how to model variation at different levels.

Theories of Population Variation in Genes and Genomes

Author: Freddy Bugge Christiansen

Publisher: Princeton University Press

Published: 2014-11-23

Total Pages: 431

ISBN-13: 0691165890

DOWNLOAD EBOOK →

This textbook provides an authoritative introduction to both classical and coalescent approaches to population genetics. Written for graduate students and advanced undergraduates by one of the world's leading authorities in the field, the book focuses on the theoretical background of population genetics, while emphasizing the close interplay between theory and empiricism. Traditional topics such as genetic and phenotypic variation, mutation, migration, and linkage are covered and advanced by contemporary coalescent theory, which describes the genealogy of genes in a population, ultimately connecting them to a single common ancestor. Effects of selection, particularly genomic effects, are discussed with reference to molecular genetic variation. The book is designed for students of population genetics, bioinformatics, evolutionary biology, molecular evolution, and theoretical biology--as well as biologists, molecular biologists, breeders, biomathematicians, and biostatisticians. Contains up-to-date treatment of key areas in classical and modern theoretical population genetics Provides in-depth coverage of coalescent theory Discusses genomic effects of selection Gives examples from empirical population genetics Incorporates figures, diagrams, and boxed features throughout Includes end-of-chapter exercises Speaks to a wide range of students in biology, bioinformatics, and biostatistics

Regular Variation

Author: N. H. Bingham

Publisher: Cambridge University Press

Published: 1989-06-15

Total Pages: 518

ISBN-13: 9780521379434

DOWNLOAD EBOOK →

A comprehensive account of the theory and applications of regular variation.

Wood Variation

Author: Bruce J. Zobel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 376

ISBN-13: 3642740693

DOWNLOAD EBOOK →

Wood is the usual end product of a forestry operation. Because of its importance, numerous studies have been made relative to wood prop erties, the causes of wood variation, and how best to develop wood for desired products. There is voluminous literature related to these subjects, but it is neither well known nor appreciated by foresters because the publications are often not available or are not well understood by the forester or by those who use the wood. Frequently, the literature is confusing and contradictory, making it difficult for the nonspecialist to use what information is available. In order to produce and use wood efficiently, the variation pat terns within trees, among trees within species, and among species must be understood. This also requires some knowledge of the causes of variation and the effects of different wood properties upon utiliza tion. The information about variation patterns, their causes, and con trol and effect upon the product must be known by the tree grower, the tree breeder, and the tree harvester as well as by those who ultimately convert wood into a final, salable product.

Antigenic Variation

Author: Alister G. Craig

Publisher: Elsevier

Published: 2003-08-20

Total Pages: 464

ISBN-13: 0080475884

DOWNLOAD EBOOK →

The topic of antigenic variation is important in both biology and medicine. It is of enormous interest, as it describes the process(es) whereby microorganisms 'shift shape', by genetic rearrangement or otherwise. In medical terms, this has a major impact on the infectious disease process, since the immune system has great difficulty in keeping up with this variation, and thus eliminating the infectious agent. Antigenic variation is a major method by which microbes evade the immune response, and persist in the body. The broad scope of the book appeals to all those working in the field of infectious disease, immunology of infection, pathogenesis, molecular biology and also to evolutionary biologists. Topics covered include not only bacterial species, and viruses such as influenza, HIV, Rotavirus, but also eukaryotic parasites - one of the most fascinating groups of organisms exhibiting this behaviour. Comprehensive coverage of antigenic variation from viruses to parasites Discussions devoted to molecular mechanisms of host evasion Detailed descriptions of host/pathogen interactions

Phonological Variation in Rural Jamaican Schools

Author: Véronique Lacoste

Publisher: John Benjamins Publishing

Published: 2012

Total Pages: 308

ISBN-13: 9027252653

DOWNLOAD EBOOK →

This book investigates variation in the classroom speech of 7-year-old children who are learning Standard Jamaican English as a second language variety in rural Jamaica. For sociolinguists and second language/dialect researchers interested in the acquisition and use of sociolinguistic variables, an important challenge is how to efficiently account for language learning mechanisms and use. To date, this book is the first to offer an interdisciplinary look into phonological and phonetic variation observed in primary school in Jamaica, that is from the perspective of classic variationist and quantitative sociolinguistics and a usage-based model. Both frameworks function as explanatory for the children s learning of phono-stylistic variation, which they encounter in their immediate linguistic environment, i.e. most often through their teachers speech. This book is intended for sociolinguists interested in child language variation, linguists working on formal aspects of the languages of the Caribbean, applied linguists concerned with the teaching and learning of second language phonology, and any researchers interested in applying variationist and quantitative methods to classroom second language learning."

Language Standardization and Language Variation in Multilingual Contexts

Author: Nicola McLelland

Publisher: Multilingual Matters

Published: 2021-11-24

Total Pages: 317

ISBN-13: 180041157X

DOWNLOAD EBOOK →

This important contribution to the sociolinguistics of Asian languages breaks new ground in the study of language standards and standardization in two key ways: in its focus on Asia, with particular attention paid to China and its neighbours, and in the attention paid to multilingual contexts. The chapters address various kinds of (sometimes hidden) multilingualism and examine the interactions between multilingualism and language standardization, offering a corrective to earlier work on standardization, which has tended to assume a monolingual nation state and monolingual individuals. Taken together, the chapters in this book thus add to our understanding of the ways in which multilingualism is implicated in language standardization, as well as the impact of language standards on multilingualism. The introduction, Chapter 6 and Chapter 8 are free to download as open access publications. You can access them here: Introduction: https://zenodo.org/record/5749388#.YaiwuNDP3cs Chapter 6: https://zenodo.org/record/5749522#.Yaiw-9DP3cs Chapter 8: https://zenodo.org/record/5749586#.Yai0RNDP3cs