Author: Marion Harland
Publisher:
ISBN:
Category : Home economics
Languages : en
Pages : 582
Book Description
The Home-maker
Author: Marion Harland
Publisher:
ISBN:
Category : Home economics
Languages : en
Pages : 582
Book Description
Publisher:
ISBN:
Category : Home economics
Languages : en
Pages : 582
Book Description
Bulletin
Catalogue
Author: Ohio State University
Publisher:
ISBN:
Category :
Languages : en
Pages : 392
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 392
Book Description
Mastering Tables
Author: Murray Brennan
Publisher: R.I.C. Publications
ISBN: 1741260582
Category : Arithmetic
Languages : en
Pages : 69
Book Description
Publisher: R.I.C. Publications
ISBN: 1741260582
Category : Arithmetic
Languages : en
Pages : 69
Book Description
An Introduction to Algebra
Author: Jeremiah Day
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 356
Book Description
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 356
Book Description
Annual Report
Author: Ontario. Dept. of Agriculture and Food
Publisher:
ISBN:
Category : Agriculture
Languages : en
Pages : 1030
Book Description
Publisher:
ISBN:
Category : Agriculture
Languages : en
Pages : 1030
Book Description
Journal
Author: Pennsylvania. General Assembly. Senate
Publisher:
ISBN:
Category : Pennsylvania
Languages : en
Pages : 1230
Book Description
Publisher:
ISBN:
Category : Pennsylvania
Languages : en
Pages : 1230
Book Description
Manual of Stroke Models in Rats
Author: Yanlin Wang-Fischer
Publisher: CRC Press
ISBN: 1498718337
Category : Medical
Languages : en
Pages : 404
Book Description
During the last few years, exciting new insights into mechanisms and treatment of stroke have been obtained from animal experiments. Hence, the use of animal models to induce stroke are of paramount importance as research tools. While a few articles on this topic have been published in select journals, until now there has not been a systematic tech
Publisher: CRC Press
ISBN: 1498718337
Category : Medical
Languages : en
Pages : 404
Book Description
During the last few years, exciting new insights into mechanisms and treatment of stroke have been obtained from animal experiments. Hence, the use of animal models to induce stroke are of paramount importance as research tools. While a few articles on this topic have been published in select journals, until now there has not been a systematic tech
Combinatorics
Author: Nicholas Loehr
Publisher: CRC Press
ISBN: 1498780261
Category : Mathematics
Languages : en
Pages : 618
Book Description
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.
Publisher: CRC Press
ISBN: 1498780261
Category : Mathematics
Languages : en
Pages : 618
Book Description
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.
Variation and Gradience in Phonetics and Phonology
Author: Frank Kügler
Publisher: Walter de Gruyter
ISBN: 3110219328
Category : Language Arts & Disciplines
Languages : en
Pages : 437
Book Description
This book provides an overview of current issues in variation and gradience in phonetics, phonology and sociolinguistics. It contributes to the growing interest in gradience and variation in theoretical phonology by combing research on the factors underlying variability and systematic quantitative results with theoretical phonological considerations. Variation is inherent to language, and one of the aims of phonological theory is to describe and explain the mechanisms underlying variation at every level of phonological representation. Variation below the segment concerns articulatory, acoustic and perceptual cues that contribute to the formation of natural classes of sounds. At the segmental level there are grammatical differences in the production and perception of contextual variation of segments and in the syntagmatic constraints on the combination of segments. At the suprasegmental level the mapping of tones to grammatical functions and vice versa is discussed. Further aspects addressed in this book are factors outside of language: Variation that arises as a result of a particular dialect or of belonging to a certain age group, or variation that is the consequence of language change. Gradience and variation have always been a central issue in phonetic and sociolinguistic research. Gradience introduces variation in phonology as well. If a phonetic entity can be pronounced in different ways, depending on the environment, prosodic factors or dialectal influences, this ‘gradience’ may introduce ‘variation’, which we understand as a stable state of grammar.
Publisher: Walter de Gruyter
ISBN: 3110219328
Category : Language Arts & Disciplines
Languages : en
Pages : 437
Book Description
This book provides an overview of current issues in variation and gradience in phonetics, phonology and sociolinguistics. It contributes to the growing interest in gradience and variation in theoretical phonology by combing research on the factors underlying variability and systematic quantitative results with theoretical phonological considerations. Variation is inherent to language, and one of the aims of phonological theory is to describe and explain the mechanisms underlying variation at every level of phonological representation. Variation below the segment concerns articulatory, acoustic and perceptual cues that contribute to the formation of natural classes of sounds. At the segmental level there are grammatical differences in the production and perception of contextual variation of segments and in the syntagmatic constraints on the combination of segments. At the suprasegmental level the mapping of tones to grammatical functions and vice versa is discussed. Further aspects addressed in this book are factors outside of language: Variation that arises as a result of a particular dialect or of belonging to a certain age group, or variation that is the consequence of language change. Gradience and variation have always been a central issue in phonetic and sociolinguistic research. Gradience introduces variation in phonology as well. If a phonetic entity can be pronounced in different ways, depending on the environment, prosodic factors or dialectal influences, this ‘gradience’ may introduce ‘variation’, which we understand as a stable state of grammar.