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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.
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.
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."
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.
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.
Author: United States International Trade Commission
Publisher:
ISBN:
Category : Elastomer industry
Languages : en
Pages : 232
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Book Description
Author: Alan Belkin
Publisher: Yale University Press
ISBN: 0300218990
Category : Music
Languages : en
Pages : 273
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Book Description
An invaluable introduction to the art and craft of musical composition from a distinguished teacher and composer This essential introduction to the art and craft of musical composition is designed to familiarize beginning composers with principles and techniques applicable to a broad range of musical styles, from concert pieces to film scores and video game music. The first of its kind to utilize a style-neutral approach, in addition to presenting the commonly known classical forms, this book offers invaluable general guidance on developing and connecting musical ideas, building to a climax, and other fundamental formal principles. It is designed for both classroom use and independent study.
Author: Hans P. Bacher
Publisher: Laurence King Publishing
ISBN: 9781786272201
Category : Performing Arts
Languages : en
Pages : 0
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Book Description
Featuring hundreds of carefully hand-crafted illustrations as well as significant tuition on how to best compose and use images to create the most powerful frames, this book is potentially Hans P. Bacher's life's work encapsulated in one volume. Here, the internationally renowned production designer shares his expertise in an easy-to-follow and imaginative way – giving tips, exercises, and a depth of knowledge garnered from a lifetime in the industry. Bacher's production designs have established the look of many seminal animated films such as The Lion King, Balto, Mulan and Beauty and the Beast, so fans of his work will be delighted. While keeping the focus on storytelling, Bacher instructs readers in the art of animated cinematography with the ever-present aim of soliciting an emotional response from the audience. Vision: Color and Composition for Film represents an amazing depth of experience — and is visually arresting to boot.
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.
Author: Charles Wuorinen
Publisher: C F Peters Corporation
ISBN: 9780938856061
Category : Music
Languages : en
Pages : 168
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Book Description
Originally published: New York: Longman, c1979.
Author: John Cage
Publisher:
ISBN:
Category : Literary Criticism
Languages : en
Pages : 208
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Book Description
A superb introduction to the work of John Cage, celebrated minimalist composer, who died in 1992, aged 79 years. Printed in the style requested by the author, this book summarises his major works in one volume.
