Combinatorics of Compositions and Words

Combinatorics of Compositions and Words PDF Author: Silvia Heubach
Publisher: CRC Press
ISBN: 9781420072686
Category : Mathematics
Languages : en
Pages : 504

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Book Description
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions Focusing on a very active area of research in the last decade, Combinatorics of Compositions and Words provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words. It also presents various tools and approaches that are applicable to other areas of enumerative combinatorics. After a historical perspective on research in the area, the text introduces techniques to solve recurrence relations, including iteration and generating functions. It then focuses on enumeration of basic statistics for compositions. The text goes on to present results on pattern avoidance for subword, subsequence, and generalized patterns in compositions and then applies these results to words. The authors also cover automata, the ECO method, generating trees, and asymptotic results via random compositions and complex analysis. Highlighting both established and new results, this book explores numerous tools for enumerating patterns in compositions and words. It includes a comprehensive bibliography and incorporates the use of the computer algebra systems MapleTM and Mathematica®, as well as C++ to perform computations.

Combinatorics of Compositions and Words

Combinatorics of Compositions and Words PDF Author: Silvia Heubach
Publisher: CRC Press
ISBN: 9781420072686
Category : Mathematics
Languages : en
Pages : 504

Get Book

Book Description
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions Focusing on a very active area of research in the last decade, Combinatorics of Compositions and Words provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words. It also presents various tools and approaches that are applicable to other areas of enumerative combinatorics. After a historical perspective on research in the area, the text introduces techniques to solve recurrence relations, including iteration and generating functions. It then focuses on enumeration of basic statistics for compositions. The text goes on to present results on pattern avoidance for subword, subsequence, and generalized patterns in compositions and then applies these results to words. The authors also cover automata, the ECO method, generating trees, and asymptotic results via random compositions and complex analysis. Highlighting both established and new results, this book explores numerous tools for enumerating patterns in compositions and words. It includes a comprehensive bibliography and incorporates the use of the computer algebra systems MapleTM and Mathematica®, as well as C++ to perform computations.

Teaching Music Through Composition

Teaching Music Through Composition PDF Author: Barbara Freedman
Publisher: Oxford University Press
ISBN: 0199840628
Category : Education
Languages : en
Pages : 336

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Book Description
This book is a full multimedia curriculum that contains over 60 Lesson Plans in 29 Units of Study, Student Assignments Sheets, Worksheets, Handouts, Audio and MIDI files to teach a wide array of musical topics, including: general/basic music theory, music appreciation and analysis, keyboarding, composing/arranging, even ear-training (aural theory) using technology.

Compositions in Architecture

Compositions in Architecture PDF Author: Don Hanlon
Publisher: John Wiley & Sons
ISBN: 047005364X
Category : Architecture
Languages : en
Pages : 338

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Book Description
Architecture Use the patterns of architectural composition to inspire creative design In Compositions in Architecture, Don Hanlon offers students an excitingly original path to dis-covering architectural composition, one that avoids the traditional either/or choice between theory and practice. By exploring the underlying patterns of organization in architecture, this book enables the reader to connect architectural theory with the design process. And by relating what happens in the design studio with how the architect thinks about architectural composition, the approach spurs creative thinking. With examples that range across diverse cultures and historical periods—from the famous to the obscure—the author reveals the universal compositional strategies that can be used to solve particular architectural problems. Readers will explore: The five formal properties of composition—number, geometry, proportion, hierarchy, and orientation How the plan conveys the central organizing strategy of a building Typological similarities of architectural forms that cut across cultural, social, historical, and geographic boundaries Enriched by a graphic approach that will appeal to visual learners, Compositions in Architecture reveals the formal structures in architecture throughout the world as well as through the ages and inspires architects to turn abstract ideas into real-world design.

In the Matter of Certain Curable Fluoroelastomer Compositions and Precursors Thereof

In the Matter of Certain Curable Fluoroelastomer Compositions and Precursors Thereof PDF Author: United States International Trade Commission
Publisher:
ISBN:
Category : Elastomer industry
Languages : en
Pages : 232

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Book Description


Mastering Manga with Mark Crilley

Mastering Manga with Mark Crilley PDF Author: Mark Crilley
Publisher: Penguin
ISBN: 1440324344
Category : Art
Languages : en
Pages : 128

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Book Description
It's THE book on manga from YouTube's most popular art instruction Guru! There's more to manga than big, shiny eyes and funky hair. In these action-packed pages, graphic novelist Mark Crilley shows you step-by-step how to achieve an authentic manga style—from drawing faces and figures to laying out awesome, high-drama spreads. You'll learn how a few basic lines will help you place facial features in their proper locations and simple tricks for getting body proportions right. Plus, you'll find inspiration for infusing your work with expression, attitude and action. This is the book fans have been requesting for years, packed with expert tips on everything from hairstyles and clothing to word bubbles and sound effects, delivered in the same friendly, easy-to-follow style that has made Mark Crilley one of the "25 Most Subscribed to Gurus on YouTube." Take this opportunity to turn the characters and stories in your head into professional-quality art on the page! Packed with everything you need to make your first (or your best-ever) manga stories! • 30 step-by-step demonstrations showing how to draw faces and figures for a variety of ages and body types • Inspirational galleries featuring 101 eyes, 50 ways to draw hands, 40 hairstyles, 12 common expressions, 30 classic poses and more! • Tutorials to create a variety of realistic settings • Advanced lessons on backgrounds, inking, sequencing and layout options

Strengthen Your Paintings with Dynamic Composition

Strengthen Your Paintings with Dynamic Composition PDF Author: Frank Webb
Publisher:
ISBN: 9781626540668
Category : Art
Languages : en
Pages : 146

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Book Description
Create compelling paintings by mastering compositional techniques While happy accidents may occasionally contribute to producing strong, eye-catching paintings, conscious painting is more important. According to author Frank Webb, "Composition is more important than fact, technique, or subject." To create compelling, expressive works, you must make the composition the foundation of your plan. This book provides example-by-example demonstrations of how you can achieve this. The works of 24 professional artists included in this book give you an over-the-shoulder look at how to apply composition techniques. Armed with this information, you can paint a powerful picture and--just as importantly--analyze and improve a work that has gone wrong. "Strengthen Your Paintings with Dynamic Composition" is an indispensable addition to the artist's library that you will read and re-read. Webb's memorable instruction will guide the beginner through composition challenges and serve as a reference for the more experienced painter. Frank Webb, a professional artist since 1947, is a Dolphin Fellow of the American Watercolor Society, which he has represented in international exhibitions in Canada, New York, England, Scotland, and Mexico City. A guest instructor in all 50 states, juror, and lecturer, Webb has received over 110 major medals and awards from national competitions, including six from the American Watercolor Society. Collectors of Webb's paintings include National Taiwan Arts Education Center, Baylor University, Palmer Museum of Art at Penn State University, Portland Museum of Art, and South Arkansas Arts Center, to name a few.Webb is featured in "Who's Who in American Art" and "Who's Who in the East," and he is also a member of the Allied Artists of America, Audubon Artists, the Rocky Mountain National Watermedia Association, and many other art associations."

Composition of Outdoor Painting

Composition of Outdoor Painting PDF Author: Edgar Alwin Payne
Publisher:
ISBN: 9780939370115
Category : Composition (Art)
Languages : en
Pages : 170

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Book Description
7th Edition, 8th printing of the original 1941 publication, many added color plates and addenda by Evelyn Payne Hatcher, the artist/author's daughter. A must for art collectors, artists, teachers and art dealers.

Toward a Composition Made Whole

Toward a Composition Made Whole PDF Author: Jody Shipka
Publisher: University of Pittsburgh Pre
ISBN: 0822977788
Category : Language Arts & Disciplines
Languages : en
Pages : 202

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Book Description
To many academics, composition still represents typewritten texts on 8.5” x 11” pages that follow rote argumentative guidelines. In Toward a Composition Made Whole, Jody Shipka views composition as an act of communication that can be expressed through any number of media and as a path to meaning-making. Her study offers an in-depth examination of multimodality via the processes, values, structures, and semiotic practices people employ everyday to compose and communicate their thoughts. Shipka counters current associations that equate multimodality only with computer, digitized, or screen-mediated texts, which are often self-limiting. She stretches the boundaries of composition to include a hybridization of aural, visual, and written forms. Shipka analyzes the work of current scholars in multimodality and combines this with recent writing theory to create her own teaching framework. Among her methods, Shipka employs process-oriented reflection and a statement of goals and choices to prepare students to compose using various media in ways that spur their rhetorical and material awareness. They are encouraged to produce unusual text forms while also learning to understand the composition process as a whole. Shipka presents several case studies of students working in multimodal composition and explains the strategies, tools, and spaces they employ. She then offers methods to critically assess multimodal writing projects. Toward a Composition Made Whole challenges theorists and compositionists to further investigate communication practices and broaden the scope of writing to include all composing methods. While Shipka views writing as crucial to discourse, she challenges us to always consider the various purposes that writing serves.

The Oxford Handbook of Music Composition Pedagogy

The Oxford Handbook of Music Composition Pedagogy PDF Author: Michele Kaschub
Publisher: Oxford University Press
ISBN: 0197574874
Category : Music
Languages : en
Pages : 993

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Book Description
The Oxford Handbook of Music Composition Pedagogy presents an illuminating collection of philosophy, research, applied practice, and international perspectives to highlight the practices of teaching and learning in the field of music composition. The Handbook offers various strategies and approaches in composition for teachers, music teacher educators, and students of music education.

Composition and Big Data

Composition and Big Data PDF Author: Amanda Licastro
Publisher: University of Pittsburgh Press
ISBN: 0822988194
Category : Language Arts & Disciplines
Languages : en
Pages : 277

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Book Description
In a data-driven world, anything can be data. As the techniques and scale of data analysis advance, the need for a response from rhetoric and composition grows ever more pronounced. It is increasingly possible to examine thousands of documents and peer-review comments, labor-hours, and citation networks in composition courses and beyond. Composition and Big Data brings together a range of scholars, teachers, and administrators already working with big-data methods and datasets to kickstart a collective reckoning with the role that algorithmic and computational approaches can, or should, play in research and teaching in the field. Their work takes place in various contexts, including programmatic assessment, first-year pedagogy, stylistics, and learning transfer across the curriculum. From ethical reflections to database design, from corpus linguistics to quantitative autoethnography, these chapters implement and interpret the drive toward data in diverse ways.