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Author: Daniel C. Isaksen
Publisher: American Mathematical Soc.
ISBN: 1470437880
Category : Education
Languages : en
Pages : 174
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Book Description
The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context over C. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over C through the 70-stem. He then uses the motivic Adams spectral sequence to obtain motivic stable homotopy groups through the 59-stem. He also describes the complete calculation to the 65-stem, but defers the proofs in this range to forthcoming publications. In addition to finding all Adams differentials, the author also resolves all hidden extensions by 2, η, and ν through the 59-stem, except for a few carefully enumerated exceptions that remain unknown. The analogous classical stable homotopy groups are easy consequences. The author also computes the motivic stable homotopy groups of the cofiber of the motivic element τ. This computation is essential for resolving hidden extensions in the Adams spectral sequence. He shows that the homotopy groups of the cofiber of τ are the same as the E2-page of the classical Adams-Novikov spectral sequence. This allows him to compute the classical Adams-Novikov spectral sequence, including differentials and hidden extensions, in a larger range than was previously known.
Author: Daniel C. Isaksen
Publisher: American Mathematical Soc.
ISBN: 1470437880
Category : Education
Languages : en
Pages : 174
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Book Description
The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context over C. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over C through the 70-stem. He then uses the motivic Adams spectral sequence to obtain motivic stable homotopy groups through the 59-stem. He also describes the complete calculation to the 65-stem, but defers the proofs in this range to forthcoming publications. In addition to finding all Adams differentials, the author also resolves all hidden extensions by 2, η, and ν through the 59-stem, except for a few carefully enumerated exceptions that remain unknown. The analogous classical stable homotopy groups are easy consequences. The author also computes the motivic stable homotopy groups of the cofiber of the motivic element τ. This computation is essential for resolving hidden extensions in the Adams spectral sequence. He shows that the homotopy groups of the cofiber of τ are the same as the E2-page of the classical Adams-Novikov spectral sequence. This allows him to compute the classical Adams-Novikov spectral sequence, including differentials and hidden extensions, in a larger range than was previously known.
Author: Philipp Bücher
Publisher: Springer
ISBN: 3540395849
Category : Computers
Languages : en
Pages : 412
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Book Description
Here are the refereed proceedings of the 6th International Workshop on Algorithms in Bioinformatics, WABI 2006, held in the course of the ALGO 2006 conference meetings. The book presents 36 revised full papers addressing all current issues of algorithms in bioinformatics, from mathematical tools to experimental studies of approximation algorithms and reports on significant computational analyses. For the first time, coverage extends to machine-learning approaches along with combinatorial optimization.
Author: Douglas C. Ravenel
Publisher: American Mathematical Soc.
ISBN: 082182967X
Category : Mathematics
Languages : en
Pages : 418
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Book Description
Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.
Author: Raffaele Giancarlo
Publisher: Springer Science & Business Media
ISBN: 3540741259
Category : Computers
Languages : en
Pages : 443
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Book Description
The refereed proceedings from the 7th International Workshop on Algorithms in Bioinformatics are provided in this volume. Papers address current issues in algorithms in bioinformatics, ranging from mathematical tools to experimental studies of approximation algorithms to significant computational analyses. Biological problems examined include genetic mapping, sequence alignment and analysis, phylogeny, comparative genomics, and protein structure.
Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
ISBN: 9780821806005
Category : Mathematics
Languages : en
Pages : 294
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Book Description
This book is a compilation of lecture notes that were prepared for the graduate course ``Adams Spectral Sequences and Stable Homotopy Theory'' given at The Fields Institute during the fall of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebraic topology to study recent developments in stable homotopy theory, such as the nilpotence and periodicity theorems. Suitable as a text for an intermediate course in algebraic topology, this book provides a direct exposition of the basic concepts of bordism, characteristic classes, Adams spectral sequences, Brown-Peterson spectra and the computation of stable stems. The key ideas are presented in complete detail without becoming encyclopedic. The approach to characteristic classes and some of the methods for computing stable stems have not been published previously. All results are proved in complete detail. Only elementary facts from algebraic topology and homological algebra are assumed. Each chapter concludes with a guide for further study.
Author: Hideaki E. Takahashi
Publisher: Springer Science & Business Media
ISBN: 4431658920
Category : Medical
Languages : en
Pages : 314
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Book Description
Bones and joints are always under mechanical loading a key concept in understanding bone metabolism. Among the most common diseases of bones and joints in the elderly are osteoporosis and joint osteoarthritis. Dynamic changes in mechanical loading give rise to problems resulting in stenosis of the spinal column at the cervical, thoracic, and lumbar levels. Mechanical loading also accelerates joint destruction caused by inflammation from such conditions as chronic rheumatoid arthritis. An understanding of mechanical loading is essential therefore to clinicians, basic researchers, and engineers working with bones and joints. Providing up-to-date research and clinical findings, the contents of this volume are from the papers, symposia, and special lectures presented at the 12th Annual Meeting of the Orthopaedic Research Meeting of the Japanese Orthopaedic Association in Niigata, in October 1997.
Author: Fa Zhang
Publisher: Springer
ISBN: 3319949683
Category : Computers
Languages : en
Pages : 373
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Book Description
This book constitutes the proceedings of the 14th International Conference on Bioinformatics Research and Applications, ISBRA 2018, held in Beijing, China, in June 2018. The 24 full and 10 short papers presented in this volume were carefully reviewed and selected from a total of 138 submissions. They were organized in topical sections named: network analysis and modelling; genomic data analysis; cancer data analysis; structure and interaction; HPC and CryoEM; machine and deep learning; data analysis and methodology; analysis and visualization tools; and RNA-Seq data analysis.
Author: B. G. Hewitt
Publisher: John Benjamins Publishing
ISBN: 9027238022
Category : Language Arts & Disciplines
Languages : en
Pages : 733
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Book Description
The Caucasus for its size can boast more languages than any other region on earth. Of the 40 or so native tongues Georgian is the most widely spoken (by up to 5 million, of whom 3 million are ethnic Georgians). With its own unique script, Georgian has been written since the 4th century and has a rich literature of all genres. Outside Georgia, however, it has remained virtually unknown and unstudied, its grammatical intricacies being discussed by a small but ever growing succession of foreign specialists. The present work represents the first Reference Grammar of this challenging language to appear in English and is the summation of 20 years of intensive study by its author.
Author: Fumihiko Seta
Publisher: Springer
ISBN: 9811021384
Category : Science
Languages : en
Pages : 290
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Book Description
This book is a comprehensive document visualizing the future of built environment from a multidisciplinary dimension, with special emphasis on the Indian scenario. The multidisciplinary focus would be helpful for the readers to cross-refer and understand others' perspectives. The text also includes case studies substantiating theoretical research. This method of composition helps the book to maintain rational balance among theory, research and its contextual application. The book comprises selected papers from the National Conference on Sustainable Built Environment. The chapters provide varied viewpoints on the core issues of urbanization and planning. This compilation would be of interest to students, researchers, professionals and policy makers.
Author: John J. Callaghan
Publisher: Lippincott Williams & Wilkins
ISBN: 9780781750929
Category : Medical
Languages : en
Pages : 872
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Book Description
Now in its Second Edition, this two-volume reference is the only current book available that focuses on the adult hip. More than 100 chapters by the foremost leaders in hip surgery provide comprehensive coverage of disorders of the adult hip—from practical basic science to detailed surgical techniques including hip arthroscopy and developing techniques in minimally invasive surgery. More than 2,600 illustrations complement the text. This edition has new chapters on minimally invasive surgery of the hip. Other new topics covered include use of fiber metal mesh in acetabular revision reconstruction, revision press-fit Wagner type of stems, and implant retrievals.
