The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics
The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics

Author: G. N. Polozhii

Publisher: Elsevier

Published: 2014-07-10

Total Pages: 305

ISBN-13: 148318546X

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Pure and Applied Mathematics, Volume 79: The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics presents the numerical solution of two-dimensional and three-dimensional boundary-value problems of mathematical physics. This book focuses on the second-order and fourth-order linear differential equations. Organized into two chapters, this volume begins with an overview of ordinary finite-difference equations and the general solutions of certain specific finite-difference equations. This text then examines the various methods of successive approximation that are used exclusively for solving finite-difference equations. This book discusses as well the established formula of summary representation for certain finite-difference operators that are associated with partial differential equations of mathematical physics. The final chapter deals with the formula of summary representation to enable the researcher to write the solution of the corresponding systems of linear algebraic equations in a simple form. This book is a valuable resource for mathematicians and physicists.

Graph Representation Learning
Graph Representation Learning

Author: William L. William L. Hamilton

Publisher: Springer Nature

Published: 2022-06-01

Total Pages: 141

ISBN-13: 3031015886

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Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.

Handbook of Petroleum Product Analysis
Handbook of Petroleum Product Analysis

Author: James G. Speight

Publisher: John Wiley & Sons

Published: 2015-02-02

Total Pages: 369

ISBN-13: 1118986342

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Introduces the reader to the production of the products in a refinery • Introduces the reader to the types of test methods applied to petroleum products, including the need for specifications • Provides detailed explanations for accurately analyzing and characterizing modern petroleum products • Rewritten to include new and evolving test methods • Updates on the evolving test methods and new test methods as well as the various environmental regulations are presented

Practices of Looking
Practices of Looking

Author: Marita Sturken

Publisher: Oxford University Press, USA

Published: 2017

Total Pages: 490

ISBN-13: 9780190265717

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Visual culture is central to how we communicate. Our lives are dominated by images and by visual technologies that allow for the local and global circulation of ideas, information, and politics. In this increasingly visual world, how can we best decipher and understand the many ways that our everyday lives are organized around looking practices and the many images we encounter each day? Now in a new edition, Practices of Looking: An Introduction to Visual Culture provides a comprehensive and engaging overview of how we understand a wide array of visual media and how we use images to express ourselves, to communicate, to play, and to learn. Marita Sturken and Lisa Cartwright--two leading scholars in the emergent and dynamic field of visual culture and communication--examine the diverse range of approaches to visual analysis and lead students through key theories and concepts.--amazon.com

Traffic Engineering Handbook
Traffic Engineering Handbook

Author: ITE (Institute of Transportation Engineers)

Publisher: John Wiley & Sons

Published: 2016-01-26

Total Pages: 688

ISBN-13: 1118762304

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Get a complete look into modern traffic engineering solutions Traffic Engineering Handbook, Seventh Edition is a newly revised text that builds upon the reputation as the go-to source of essential traffic engineering solutions that this book has maintained for the past 70 years. The updated content reflects changes in key industry standards, and shines a spotlight on the needs of all users, the design of context-sensitive roadways, and the development of more sustainable transportation solutions. Additionally, this resource features a new organizational structure that promotes a more functionally-driven, multimodal approach to planning, designing, and implementing transportation solutions. A branch of civil engineering, traffic engineering concerns the safe and efficient movement of people and goods along roadways. Traffic flow, road geometry, sidewalks, crosswalks, cycle facilities, shared lane markings, traffic signs, traffic lights, and more—all of these elements must be considered when designing public and private sector transportation solutions. Explore the fundamental concepts of traffic engineering as they relate to operation, design, and management Access updated content that reflects changes in key industry-leading resources, such as the Highway Capacity Manual (HCM), Manual on Uniform Traffic Control Devices (MUTCD), AASSHTO Policy on Geometric Design, Highway Safety Manual (HSM), and Americans with Disabilities Act Understand the current state of the traffic engineering field Leverage revised information that homes in on the key topics most relevant to traffic engineering in today's world, such as context-sensitive roadways and sustainable transportation solutions Traffic Engineering Handbook, Seventh Edition is an essential text for public and private sector transportation practitioners, transportation decision makers, public officials, and even upper-level undergraduate and graduate students who are studying transportation engineering.