Grid Homology for Knots and Links

Grid Homology for Knots and Links

Author: Peter S. Ozsvath

Publisher: American Mathematical Soc.

Published: 2017-01-19

Total Pages: 410

ISBN-13: 1470434423

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Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves. Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.


Mints, Dies and Currency

Mints, Dies and Currency

Author: R.A.G. Carson

Publisher: Routledge

Published: 2013-11-05

Total Pages: 394

ISBN-13: 1136588469

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The studies assembled in this volume are dedicated to the memory of Albert Baldein, a professional numismatist whose chief interest lay in helping other numismatists, professionals, students and collectors alike, some of whom record their appreciations here. The contributions, though they are drawn from a wide variety of fields - Greek, Roman, Dark Age, Byzantine, English, Scottish, Irish and European medieval coins, and medals - are all concerned with one or more facets of the theme set out in the title. Within the general concept, the essays deal with a diversity of subjects: * identification of mints * attribution of coins to specific mints * coinage current in particular periods * composition of groups of coins in a given series * establishment of the correct sequence of issues of such groups. The essays also demonstrate the use of particular numismatic techniques such as die-linking, the analysis of hoards and their statistics, the minute observation of changes in titulature and inscriptions and comparison of portrait styles. There is much new, exciting and well-illustrated material for numismatists, and chapters such as those on Scottish mints and Hadrian's COS III coins will be of interest to historians.


Structural Elements Design Manual

Structural Elements Design Manual

Author: Trevor Draycott

Publisher: Newnes

Published: 2014-05-12

Total Pages: 246

ISBN-13: 1483278360

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Structural Elements Design Manual is a manual on the practical design of structural elements that comprise a building structure, namely, timber, concrete, masonry, and steel. Practical guidance on the design of structural elements is provided in accordance with the appropriate British Standard or Code of Practice. Plenty of worked examples are included. Comprised of five chapters, this book begins with an overview of interrelated matters with which the structural engineer is concerned in the design of a building or similar structure. The British Standards and Codes of Practice are also considered, along with loading, structural mechanics, and theory of bending. The discussion then turns to timber, concrete, masonry, and steel elements, with emphasis on safety considerations and material properties. This monograph should prove useful not only to students of structural and civil engineering, but also to those studying for qualifications in architecture, building, and surveying who need to understand the design of structural elements.


Machine Analysis with Computer Applications for Mechanical Engineers

Machine Analysis with Computer Applications for Mechanical Engineers

Author: James Doane

Publisher: John Wiley & Sons

Published: 2015-09-28

Total Pages: 552

ISBN-13: 1118541340

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The aim of this book is to motivate students into learning Machine Analysis by reinforcing theory and applications throughout the text. The author uses an enthusiastic ‘hands-on’ approach by including photos of actual mechanisms in place of abstract line illustrations, and directs students towards developing their own software for mechanism analysis using Excel & Matlab. An accompanying website includes a detailed list of tips for learning machine analysis, including tips on working homework problems, note taking, preparing for tests, computer programming and other topics to aid in student success. Study guides for each chapter that focus on teaching the thought process needed to solve problems by presenting practice problems are included, as are computer animations for common mechanisms discussed in the text.


Linked Data

Linked Data

Author: Tom Heath

Publisher: Springer Nature

Published: 2022-05-31

Total Pages: 122

ISBN-13: 303179432X

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The World Wide Web has enabled the creation of a global information space comprising linked documents. As the Web becomes ever more enmeshed with our daily lives, there is a growing desire for direct access to raw data not currently available on the Web or bound up in hypertext documents. Linked Data provides a publishing paradigm in which not only documents, but also data, can be a first class citizen of the Web, thereby enabling the extension of the Web with a global data space based on open standards - the Web of Data. In this Synthesis lecture we provide readers with a detailed technical introduction to Linked Data. We begin by outlining the basic principles of Linked Data, including coverage of relevant aspects of Web architecture. The remainder of the text is based around two main themes - the publication and consumption of Linked Data. Drawing on a practical Linked Data scenario, we provide guidance and best practices on: architectural approaches to publishing Linked Data; choosing URIs and vocabularies to identify and describe resources; deciding what data to return in a description of a resource on the Web; methods and frameworks for automated linking of data sets; and testing and debugging approaches for Linked Data deployments. We give an overview of existing Linked Data applications and then examine the architectures that are used to consume Linked Data from the Web, alongside existing tools and frameworks that enable these. Readers can expect to gain a rich technical understanding of Linked Data fundamentals, as the basis for application development, research or further study. Table of Contents: List of Figures / Introduction / Principles of Linked Data / The Web of Data / Linked Data Design Considerations / Recipes for Publishing Linked Data / Consuming Linked Data / Summary and Outlook


The Synoptic Problem and Q

The Synoptic Problem and Q

Author: David E Orton

Publisher: BRILL

Published: 2023-08-14

Total Pages: 295

ISBN-13: 9004669779

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When Stewart Petrie wrote in 1959 that 'the whole Synoptic question should be thrown back into the melting-pot', he was responding to what he saw as the fanciful and mutually contradictory attempts to solve a problem that had occupied New Testament scholars from the earliest days of biblical criticism. The 'Q' solution obscured more than it clarified, since there was no scholarly agreement on its extent, even on the assumption of its erstwhile existence. By means of its 'snap-shot' articles from the generation following Petrie's whimsical comments, this collection makes it possible to follow the course of the discussion in the subsequent forty years. Now, after a generation of study by many of the best scholarly minds, a consensus of sorts is beginning to emerge. Nonetheless, as Sharon Mattila's recent article shows, the question is 'A Problem Still Cloude', and the debate very much alive.


Advances in Computational Intelligence Systems

Advances in Computational Intelligence Systems

Author: Fei Chao

Publisher: Springer

Published: 2017-09-04

Total Pages: 374

ISBN-13: 3319669397

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The book is a timely report on advanced methods and applications of computational intelligence systems. It covers a long list of interconnected research areas, such as fuzzy systems, neural networks, evolutionary computation, evolving systems and machine learning. The individual chapters are based on peer-reviewed contributions presented at the 17th Annual UK Workshop on Computational Intelligence, held on September 6-8, 2017, in Cardiff, UK. The book puts a special emphasis on novels methods and reports on their use in a wide range of applications areas, thus providing both academics and professionals with a comprehensive and timely overview of new trends in computational intelligence.


Handbook of Network and System Administration

Handbook of Network and System Administration

Author: Jan Bergstra

Publisher: Elsevier

Published: 2011-08-11

Total Pages: 1027

ISBN-13: 0080553583

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System administration is about the design, running and maintenance of human-computer systems. Examples of human-computer systems include business enterprises, service institutions and any extensive machinery that is operated by, or interacts with human beings. System administration is often thought of as the technological side of a system: the architecture, construction and optimization of the collaborating parts, but it also occasionally touches on softer factors such as user assistance (help desks), ethical considerations in deploying a system, and the larger implications of its design for others who come into contact with it.This book summarizes the state of research and practice in this emerging field of network and system administration, in an anthology of chapters written by the top academics in the field. The authors include members of the IST-EMANICS Network of Excellence in Network Management.This book will be a valuable reference work for researchers and senior system managers wanting to understand the essentials of system administration, whether in practical application of a data center or in the design of new systems and data centers.- Covers data center planning and design- Discusses configuration management- Illustrates business modeling and system administration- Provides the latest theoretical developments


The Struggle across the Taiwan Strait

The Struggle across the Taiwan Strait

Author: Ramon H. Myers

Publisher: Hoover Institution Press

Published: 2013-09-01

Total Pages: 172

ISBN-13: 0817946934

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A concise and informative history of how China divided in 1949 into two regimes, why they struggled to achieve the same political goal-reunification of China—and why their struggle today continues in a more complex and dangerous way. The authors detail how the changes brought about by the 2000 election not only intensified the conflict between the regimes but locked both sides into a new contest that increased the probability of war rather than peace.