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Bhatnagar N: Mathematical Foundations of
Blockchains

Mathematical Foundations of Blockchains

Engineering Principles, Volume 2

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

Scaling (zooming in or out) is taking a close or distant view of an object. Infinite scaling (the scaling parameter tends to zero or infinity) may lead to a limit which is self-similar and much simpler than the original object. For instance, the classical Donsker's theorem says that all weakly dependent stationary processes with finite variance scale to Brownian motion at large scales. In the case of a random field indexed by two-dimensional parameter, both types of scaling can be anisotropic, meaning that the horizontal and vertical axes are scaled at different rate determined by the ratio γ&gt;0 of the scaling exponents along the axes. The natural questions under such scaling are whether the scaling limits exist for any γ&gt;0, and what are these limits are. The book tries to answer these questions. It introduces the concept of scaling transition and discusses its existence for a natural class of planar random fields including Gaussian, linear and some nonlinear ones. The scaling limits are identified and exhibit a surprising trichitomy at a critical point γ0, with 'unbalanced' limits having unusual path properties and dependence structure along one of the coordinate axes. Scaling transition occurs in applied sciences (telecommunications and econometrics) when aggregating independent processes with long-range dependence in which case 'unbalanced' limits are classical Gaussian or stable random fields.

Anisotropic Scaling Of Random Fields With Long-range Dependence: Scaling Limits Of Random Fields With Applications

Russia versus the West

Modern Hybrid Warfare

Distributed and Parallel Computing

Quantum Communication and Cryptography introduces readers to the theory of quantum cryptography, with a focus will on quantum key distribution (QKD) and more advanced quantum cryptographic protocols beyond QKD. It contains a brief introduction to the field of modern cryptography that is needed to fully appreciate and understand how quantum cryptographic systems are proven secure, and how they can be safely used in combination with current day classical systems. Readers are then introduced to quantum key distribution (QKD) - perhaps the most celebrated, and currently the most practical, of quantum cryptographic techniques. Basic protocols are described, and security proofs are given, providing readers with the knowledge needed to understand how QKD protocols are proven secure using modern, state- of-the-art definitions of security. Following this, more advanced QKD protocols are discussed, along with alternative quantum and classical methods to improve QKD performance. Finally, alternative quantum cryptographic protocols are covered, along with a discussion on some of the practical considerations of quantum secure communication technology. Throughout, protocols are described in a clear and consistent manner that still provides comprehensive, theoretical proofs and methods.

Quantum Communication and Cryptography

Series on Concrete & Applicable Mathematics

Rainbow And Properly Colored Subgraphs

Beading With Algorithms: Cellular Automata In Peyote Stitch

Security, Audit and Leadership Series

Real-World Leadership for Security and Risk Professionals

It’s Not in the Manual

"How do metaverse technologies change how we communicate with each other? This book explores how existing metaverse technologies affect our communication, both verbal and non-verbal, as well as the ramifications of these effects. It questions what differentiates the metaverse from earlier connected virtual worlds like World of Warcraft or Second Life, and features extracts from interviews with the users and developers of current metaverses, such as Roblox, Minecraft, and Gather.town. It also investigates the impact of the pandemic in changing and accelerating how we communicate in virtual spaces"-- Provided by publisher.

The Embodied Future of Online Communication

Conversing in the Metaverse

In this new and improved fourth edition of the highly popular Game Engine Architecture, Jason Gregory draws on his two decades of experience at Midway, Electronic Arts and Naughty Dog to present both the theory and practice of game engine software development. In this book, the broad range of technologies and techniques used by AAA game studios are each explained in detail, and their roles within a real industrial-strength game engine are illustrated.The fourth edition offers the same comprehensive coverage of game engine architecture provided by previous editions, and this first volume covers essential concepts, techniques, tools, and the engine systems that form the core of every game engine.This book is intended to serve as an introductory text, but it also offers the experienced game programmer a useful perspective on aspects of game development technology with which they may not have deep experience. As always, copious references and citations are provided in this edition, making it an excellent jumping off point for those who wish to dig deeper into any particular aspect of the game development process.Key Features<ul> <li>Covers both the theory and practice of game engine software development</li> <li>Examples are grounded in specific technologies, but discussion extends beyond any particular engine or API</li> <li>Includes all mathematical background needed</li> <li>Comprehensive text for beginners and also has content for senior engineers</li> </ul>

Volume I, Foundations of Game Engine Development

Game Engine Architecture

Data Science and Interactive Visualization Tools for the Analysis of Qualitative Evidence empowers qualitative and mixed methods researchers in the data science movement by offering no-code, cost-free software access so that they can apply cutting-edge and innovative methods to synthetize qualitative data. The book builds on the idea that qualitative and mixed methods researchers should not have to learn to code to benefit from rigorous open-source, cost-free software that uses artificial intelligence, machine learning, and data visualization tools-just as people do not need to know C++ or TypeScript to benefit from Microsoft Word. The real barrier is the hundreds of R code lines required to apply these concepts to their databases. By removing the coding proficiency hurdle, this book will empower their research endeavors and help them become active members of and contributors to the applied data science community. The book offers a comprehensive explanation of data science and machine learning methodologies, along with access to software application tools to implement these techniques without any coding proficiency. The book addresses the need for innovative tools that enable researchers to tap into the insights that come out of cutting-edge data science tools with absolutely no computer language literacy requirements.

Data Science and Interactive Visualization Tools for the Analysis of Qualitative Evidence

This practical guide, written by a seasoned technology leader with over 25 years of experience, is packed with real-world advice and battle-tested solutions. Whether you're a new or aspiring IT leader or a seasoned one, this book will equip you with the knowledge and tools you need to navigate the challenges of managing and transforming digitally your company or department.The Digital Leader's Playbook is not your typical IT leadership book. It's a concise and easy-to-use reference guide filled with 60 key maxims - each one a shot of practical wisdom for becoming a successful tech leader. The author offers transferable insights and lessons from his successes working in technology leadership from sectors as varied as banking, retail, transport, chemicals and construction, and solving real-business challenges. As a result, readers will learn how to manage their team better, manage their time more effectively, introduce new technology and manage innovation, manage suppliers and business partners better, and engage with the technology that the company really values.

60 fundamental maxims for success for today’s IT executive

The Digital Leader's Playbook

Mathematical Foundations of Blockchains

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