Author: Sergey Kitaev
Publisher: Springer Science & Business Media
ISBN: 3642173330
Category : Computers
Languages : en
Pages : 511
Book Description
There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan—Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, including sorting stacks and sortable permutations. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology.
Patterns in Permutations and Words
Author: Sergey Kitaev
Publisher: Springer Science & Business Media
ISBN: 3642173330
Category : Computers
Languages : en
Pages : 511
Book Description
There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan—Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, including sorting stacks and sortable permutations. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology.
Publisher: Springer Science & Business Media
ISBN: 3642173330
Category : Computers
Languages : en
Pages : 511
Book Description
There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan—Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, including sorting stacks and sortable permutations. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology.
Rules, Patterns and Words
Author: Dave Willis
Publisher: Cambridge University Press
ISBN: 0521829240
Category : Foreign Language Study
Languages : en
Pages : 238
Book Description
In an accessible style, the author demonstrates the link between grammar and vocabulary.
Publisher: Cambridge University Press
ISBN: 0521829240
Category : Foreign Language Study
Languages : en
Pages : 238
Book Description
In an accessible style, the author demonstrates the link between grammar and vocabulary.
Words and Patterns
Author: Katharine M. Day
Publisher:
ISBN:
Category : English language
Languages : en
Pages : 148
Book Description
Publisher:
ISBN:
Category : English language
Languages : en
Pages : 148
Book Description
Applied Combinatorics on Words
Author: M. Lothaire
Publisher: Cambridge University Press
ISBN: 9780521848022
Category : Computers
Languages : en
Pages : 646
Book Description
Publisher Description
Publisher: Cambridge University Press
ISBN: 9780521848022
Category : Computers
Languages : en
Pages : 646
Book Description
Publisher Description
Sounds, Patterns and Words
Author: J. Moore
Publisher: HarperCollins Publishers
ISBN: 9780003142310
Category : Reading
Languages : en
Pages : 32
Book Description
Throughout the book, spelling patterns are introduced in carefully graded steps. At the end of each book Check up revision sections reinforce spellings already learned by a variety of interesting exercises which link sound and spelling patterns.
Publisher: HarperCollins Publishers
ISBN: 9780003142310
Category : Reading
Languages : en
Pages : 32
Book Description
Throughout the book, spelling patterns are introduced in carefully graded steps. At the end of each book Check up revision sections reinforce spellings already learned by a variety of interesting exercises which link sound and spelling patterns.
Words Their Way
Author: Donald R. Bear
Publisher: Pearson
ISBN: 9780137035106
Category : Education
Languages : en
Pages : 0
Book Description
"Words Their Way" is a hands-on, developmentally driven approach to word study that illustrates how to integrate and teach children phonics, vocabulary, and spelling skills. This fifth edition features updated activities, expanded coverage of English learners, and emphasis on progress monitoring.
Publisher: Pearson
ISBN: 9780137035106
Category : Education
Languages : en
Pages : 0
Book Description
"Words Their Way" is a hands-on, developmentally driven approach to word study that illustrates how to integrate and teach children phonics, vocabulary, and spelling skills. This fifth edition features updated activities, expanded coverage of English learners, and emphasis on progress monitoring.
How to Learn Like a Pro! \
Author: Phyllis Nissila
Publisher:
ISBN:
Category : Academic achievement
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Academic achievement
Languages : en
Pages :
Book Description
Words that Change Minds
Author: Shelle Rose Charvet
Publisher: Author's Choice Publishing
ISBN: 9780787234799
Category : Business & Economics
Languages : en
Pages : 246
Book Description
Publisher: Author's Choice Publishing
ISBN: 9780787234799
Category : Business & Economics
Languages : en
Pages : 246
Book Description
Teaching Spelling to English Language Learners
Author: Johanna Stirling
Publisher: Lulu.com
ISBN: 1447606787
Category : Language Arts & Disciplines
Languages : en
Pages : 281
Book Description
A book for anyone teaching English spelling, particularly those working with English language learners. This essential manual answers three challenging questions about teaching spelling: Why is there a problem with teaching and learning spelling? What can be done about it? How can this be accomplished? The first part of the book helps teachers understand the systems of English spelling and the regularities, which are not necessarily phonological. It explores the errors that learners really make and the challenges faced by teachers. The second part outlines a fresh, new, multi-dimensional approach to teaching spelling which recognises the need for learner engagement and strategy training as well as work on the patterns found in English orthography. The final part of the book presents over seventy engaging and effective activities which are designed to develop a range of strategies and knowledge about English spelling.
Publisher: Lulu.com
ISBN: 1447606787
Category : Language Arts & Disciplines
Languages : en
Pages : 281
Book Description
A book for anyone teaching English spelling, particularly those working with English language learners. This essential manual answers three challenging questions about teaching spelling: Why is there a problem with teaching and learning spelling? What can be done about it? How can this be accomplished? The first part of the book helps teachers understand the systems of English spelling and the regularities, which are not necessarily phonological. It explores the errors that learners really make and the challenges faced by teachers. The second part outlines a fresh, new, multi-dimensional approach to teaching spelling which recognises the need for learner engagement and strategy training as well as work on the patterns found in English orthography. The final part of the book presents over seventy engaging and effective activities which are designed to develop a range of strategies and knowledge about English spelling.
Textual Patterns
Author: Mike Scott
Publisher: John Benjamins Publishing
ISBN: 9027222932
Category : Language Arts & Disciplines
Languages : en
Pages : 214
Book Description
Textual Patterns introduces corpus resources, tools and analytic frameworks of central relevance to language teachers and teacher educators. Specifically it shows how key word analysis, combined with the systematic study of vocabulary and genre, can form the basis for a corpus informed approach to language teaching. The first part of the book gives the reader a strong grounding in the way in which language teachers can use corpus analysis tools (wordlists, concordances, key words) to describe language patterns in general and text patterns in particular. The second section presents a series of case studies which show how a key word / corpus informed approach to language education can work in practice. The case studies include: General language education (i.e. students in national education systems and those following international examination programmes), foreign languages for academic purposes, literature in language education, business and professional communication, and cultural studies in language education.
Publisher: John Benjamins Publishing
ISBN: 9027222932
Category : Language Arts & Disciplines
Languages : en
Pages : 214
Book Description
Textual Patterns introduces corpus resources, tools and analytic frameworks of central relevance to language teachers and teacher educators. Specifically it shows how key word analysis, combined with the systematic study of vocabulary and genre, can form the basis for a corpus informed approach to language teaching. The first part of the book gives the reader a strong grounding in the way in which language teachers can use corpus analysis tools (wordlists, concordances, key words) to describe language patterns in general and text patterns in particular. The second section presents a series of case studies which show how a key word / corpus informed approach to language education can work in practice. The case studies include: General language education (i.e. students in national education systems and those following international examination programmes), foreign languages for academic purposes, literature in language education, business and professional communication, and cultural studies in language education.