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Change And Variations


Change And Variations
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Change And Variations


Change And Variations
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Author : Jeremy Gray
language : en
Publisher: Springer Nature
Release Date : 2021-06-03

Change And Variations written by Jeremy Gray and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-03 with Mathematics categories.


This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d’Alembert and Euler; Fourier’s solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincaré on the hypergeometric equation; Green’s functions, the Dirichlet principle, and Schwarz’s solution of the Dirichlet problem; minimal surfaces; the telegraphists’ equation and Thomson’s successful design of the trans-Atlantic cable; Riemann’s paper on shock waves; the geometrical interpretation of mechanics; and aspects of the study of the calculus of variations from the problems of the catenary and the brachistochrone to attempts at a rigorous theory by Weierstrass, Kneser, and Hilbert. Three final chapters look at how the theory of partial differential equations stood around 1900, as they were treated by Picard and Hadamard. There are also extensive, new translations of original papers by Cauchy, Riemann, Schwarz, Darboux, and Picard. The first book to cover the history of differential equations and the calculus of variations in such breadth and detail, it will appeal to anyone with an interest in the field. Beyond secondary school mathematics and physics, a course in mathematical analysis is the only prerequisite to fully appreciate its contents. Based on a course for third-year university students, the book contains numerous historical and mathematical exercises, offers extensive advice to the student on how to write essays, and can easily be used in whole or in part as a course in the history of mathematics. Several appendices help make the book self-contained and suitable for self-study.



Change And Variation Of English Lexis And Its Educational Implication


Change And Variation Of English Lexis And Its Educational Implication
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Author : Kwan Lung Chan
language : en
Publisher: GRIN Verlag
Release Date : 2018-11-12

Change And Variation Of English Lexis And Its Educational Implication written by Kwan Lung Chan and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-12 with Literary Collections categories.


Essay from the year 2017 in the subject English Language and Literature Studies - Linguistics, grade: 2.7, Education University of Hong Kong (Department of English Language Education), course: ENG2347 Words and Their Meanings, language: English, abstract: Language change and variation is a problematic issue to teachers because it tries to destandardize a language and cause trouble in students’ language learning. This essay focuses is divided into four parts. It will first define the difference between lexical change and lexical variation in English, then it would investigate in the the reasons why there are such lexical changes. After lexical change, lexical variations would be analyzed according to their characteristics and taxonomized into different types. The essay would end with an educational implication relating to teaching of vocabulary.



Language Change Variation And Universals


Language Change Variation And Universals
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Author : Peter W. Culicover
language : en
Publisher:
Release Date : 2021

Language Change Variation And Universals written by Peter W. Culicover and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Grammar, Comparative and general categories.


This volume explores how human languages become what they are, why they differ from one another in certain ways but not in others, and why they change in the ways that they do. Peter Culicover proposes that language change and variation are responses to the pressure to find efficient grammatical solutions to the task of expressing human thought.



Contact Variation And Change In The History Of English


Contact Variation And Change In The History Of English
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Author : Simone E. Pfenninger
language : en
Publisher: John Benjamins Publishing Company
Release Date : 2014-09-11

Contact Variation And Change In The History Of English written by Simone E. Pfenninger and has been published by John Benjamins Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Language Arts & Disciplines categories.


The papers in this volume aim at facilitating exchange between three fields of inquiry that are of great importance in historical linguistics: language change, (socio)linguistic research on variation, and contact linguistics. Drawing on a range of recently-developed methodological innovations, such as methods for quantifying the linguistic variation (that is a prerequisite for language change) or new corpus-based methods for investigating text-type variation, the contributors are able to trace linguistic change in different periods and contact situations, demonstrate how variation occurs, and in how far language change results out of this variation. Thus, the chapters go beyond core issues of language variation and change, focusing on the boundary between word and grammar, discourse and ideology in the history of the English language.



Variation In Language System And Usage Based Approaches


Variation In Language System And Usage Based Approaches
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Author : Aria Adli
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-07-24

Variation In Language System And Usage Based Approaches written by Aria Adli and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-24 with Language Arts & Disciplines categories.


Where is the locus of language variation? In the grammar, outside the grammar or somewhere in between? Taking up the debate between system- and usage-based approaches, this volume provides new discussions of fundamental issues of language variation. It includes several highly insightful theoretical contributions as well as innovative empirical studies considering different types of data, the role of priming in language change and rare phenomena.



Theoretical Approaches To Linguistic Variation


Theoretical Approaches To Linguistic Variation
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Author : Ermenegildo Bidese
language : en
Publisher: John Benjamins Publishing Company
Release Date : 2016-12-15

Theoretical Approaches To Linguistic Variation written by Ermenegildo Bidese and has been published by John Benjamins Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-15 with Language Arts & Disciplines categories.


The contributions of this book deal with the issue of language variation. They all share the assumption that within the language faculty the variation space is hierarchically constrained and that minimal changes in the set of property values defining each language give rise to diverse outputs within the same system. Nevertheless, the triggers for language variation can be different and located at various levels of the language faculty. The novelty of the volume lies in exploring different loci of language variation by including wide-ranging empirical perspectives that cover different levels of analysis (syntax, phonology and prosody) and deal with different kinds of data, mostly from Romance and Germanic languages, from dialects, idiolects, language acquisition, language attrition and creolization, analyzed from both diachronic and synchronic perspectives. The volume is divided in three parts. The first part is dedicated to synchronic variation in phonology and syntax; the second part deals with diachronic variation and language change, and the third part investigates the role of contact, attrition and acquisition in giving rise to language change and language variation in bilingual settings. This volume is a useful tool for linguistics of diverse theoretical persuasions working on theoretical and comparative linguistics and to anyone interested in language variation, language change, dialectology, language acquisition and typology.



Variations In Organization Science


Variations In Organization Science
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Author : Donald Thomas Campbell
language : en
Publisher: SAGE
Release Date : 1999-05-14

Variations In Organization Science written by Donald Thomas Campbell and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-14 with Business & Economics categories.


If he were an assistant professor today, what work would social science giant Donald T. Campbell be doing in the field of organization science? Joel A. C. Baum and Bill McKelvey explore this question in Variations in Organization Science. This volume reveals and celebrates Campbell's many contributions to the field by presenting new variations that stem directly from his work. Rather than analyzing Campbell's work, chapter authors pursue additional implications and further applications of his perspective to organization science - some of which Campbell himself might have pursued if he were starting out as an assistant professor in 1999.



The Normal Phase Variations Of The 18 Kc S Signals From Nba Observed In Frankfurt Germany


The Normal Phase Variations Of The 18 Kc S Signals From Nba Observed In Frankfurt Germany
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Author : A. H. Brady
language : en
Publisher:
Release Date : 1963

The Normal Phase Variations Of The 18 Kc S Signals From Nba Observed In Frankfurt Germany written by A. H. Brady and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Radio waves categories.




Construction Contract Variations


Construction Contract Variations
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Author : Michael Sergeant
language : en
Publisher: CRC Press
Release Date : 2014-05-23

Construction Contract Variations written by Michael Sergeant and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Law categories.


Changes to the work on construction projects are a common cause of dispute. Such variations lead to thousands of claims in the UK every year and many more internationally. Liability for variations is not only relevant to claims for sums due for extra work but this is also an important underlying factor in many other construction disputes, such as delay, disruption, defects and project termination. This is the first book to deal exclusively with variations in construction contracts and provide the detailed and comprehensive coverage that it demands. Construction Contract Variations analyses the issues that arise in determining whether certain work is a variation, the contractor’s obligation to undertake such work as well as its right to be paid. It deals with the employer’s power to vary and the extent of its duties to approve changes. The book also analyses the role of the consultant in the process and the valuation of variations. It reviews these topics by reference to a range of construction contracts. This is an essential guide for practitioners and industry professionals who advise on these issues and have a role in managing, directing and compensating change. Participants in the construction industry will find this book an invaluable guide, as will specialists and students of construction law, project management and quantity surveying.



Water Quality Variations In The Bull Run Watershed Oregon Under 1978 To 1983 Management Conditions


Water Quality Variations In The Bull Run Watershed Oregon Under 1978 To 1983 Management Conditions
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Author : Frank A. Rinella
language : en
Publisher:
Release Date : 1987

Water Quality Variations In The Bull Run Watershed Oregon Under 1978 To 1983 Management Conditions written by Frank A. Rinella and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Water quality categories.