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Geometric Structures of Information (Signals and Communication Technology)
by Frank NielsenThis book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing. The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.
Geometric Tolerancing Standard to Machine Design: A Design-for-Fit Approach
by Faryar EtesamiThis book is for students enrolled in undergraduate mechanical engineering, or similar, programs. The material presented is based on nearly thirty years of class-tested lecture notes for courses on the applications of geometric tolerancing for designers. The book’s emphasis is on fit requirements for machine components, as fit assurance makes up the majority of challenging applications in tolerancing. For design engineers, knowing how to apply geometric tolerances has been a challenge even for engineers who have practiced geometric tolerancing for a long time. The syntax and meaning of geometric tolerancing statements can be learned easily and quickly, but knowing how to use them correctly is much more difficult. In the Design-for-Fit approach, the presentation starts with the geometric requirements for various kinds of fit and then presents the geometric tolerance statements necessary to achieve those fits.
Geometric Tolerancing of Products: Integration Of Functionality:selected Conference Papers Of The 7th Cirp International Seminar On Computer-aided Tolerancing, Held At The École Normale Supérieure De Cachan, France, 24-25 April 2001 (Wiley-iste Ser.)
by Luc Mathieu François VilleneuveThis title describes the various research results in the field of geometric tolerancing of products, an activity that highlights the difficult scientific locks. The collection is of great importance for further innovation in the development of industrial products.
Geometric and Electronic Properties of Graphene-Related Systems: Chemical Bonding Schemes
by Shih-Yang Lin Ming-Fa Lin Chiun-Yan Lin Ngoc Thanh TranDue to its physical, chemical, and material properties, graphene has been widely studied both theoretically and experimentally since it was first synthesized in 2004. This book explores in detail the most up-to-date research in graphene-related systems, including few-layer graphene, sliding bilayer graphene, rippled graphene, carbon nanotubes, and adatom-doped graphene, among others. It focuses on the structure-, stacking-, layer-, orbital-, spin- and adatom-dependent essential properties, in which single- and multi-orbital chemical bondings can account for diverse phenomena. <P><P>Geometric and Electronic Properties of Graphene-Related Systems: Chemical Bonding Schemes is excellent for graduate students and researchers, but understandable to undergraduates. The detailed theoretical framework developed in this book can be used in the future characterization of emergent materials.
Geometric and Engineering Drawing
by Ken Morling Stéphane DanjouThis introduction to descriptive geometry and contemporary drafting guides the student through the essential principles to create engineering drawings that comply with international standards of technical product specification. This heavily updated new edition now applies to CAD as well as conventional drawing. Extensive new coverage is given of: • International drafting conventions • Methods of spatial visualisation such as multi-view projection • Types of views • Dimensioning • Dimensional and geometric tolerancing • Representation of workpiece and machine elements • Assembly drawings Comprehensible illustrations and clear explanations help the reader master drafting and layout concepts for creating professional engineering drawings. The book provides a large number of exercises for each main topic. This edition covers updated material and reflects the latest ISO standards. It is ideal for undergraduates in engineering or product design, students of vocational courses in engineering communication and technology students covering the transition of product specification from design to production.
Geometric and Engineering Drawing 3E
by K. MorlingThe new edition of this successful text describes all the geometric instructions and engineering drawing information that are likely to be needed by anyone preparing or interpreting drawings or designs with plenty of exercises to practice these principles.
Geometrical Charged-Particle Optics
by Harald RoseThis second edition is an extended version of the first edition of Geometrical Charged-Particle Optics. The updated reference monograph is intended as a guide for researchers and graduate students who are seeking a comprehensive treatment of the design of instruments and beam-guiding systems of charged particles and their propagation in electromagnetic fields. Wave aspects are included in this edition for explaining electron holography, the Aharanov-Bohm effect and the resolution of electron microscopes limited by diffraction. Several methods for calculating the electromagnetic field are presented and procedures are outlined for calculating the properties of systems with arbitrarily curved axis. Detailed methods are presented for designing and optimizing special components such as aberration correctors, spectrometers, energy filters monochromators, ion traps, electron mirrors and cathode lenses. In particular, the optics of rotationally symmetric lenses, quadrupoles, and systems composed of these elements are discussed extensively. Beam properties such as emittance, brightness, transmissivity and the formation of caustics are outlined. Relativistic motion and spin precession of the electron are treated in a covariant way by introducing the Lorentz-invariant universal time and by extending Hamilton's principle from three to four spatial dimensions where the laboratory time is considered as the fourth pseudo-spatial coordinate. Using this procedure and introducing the self action of the electron, its accompanying electromagnetic field and its radiation field are calculated for arbitrary motion. In addition, the Stern-Gerlach effect is revisited for atomic and free electrons.
Geometrical Enhancements Based on Data-Driven Design Decisions
by V. K. Singh Mohit Hemanth Kumar Akarsh Verma Sourabh MandolThe text presents various design and modelling solutions for effective decision-making that are grounded on the basics of data analytics. It further discusses important topics such as sustainable design and data-driven design synthesis, product analytics and its role in sustainable development, and descriptive models for the geometrical evaluation of product features.This book: Familiarize the readers with the numerous decision protocols that can be utilized for deducing geometrical qualities using data-driven design analysis Offers a more comprehensive approach to multidisciplinary engineering applications using data-driven modelling and analysis Discusses multi-objective optimization for product design and development through data-driven decision-making Explains information processing and analysis through data visualization and data mining Covers artificial intelligence and machine learning-based decision models and their effective utilization across interdisciplinary applications It is primarily written for senior undergraduate, graduate students, and academic researchers in fields including industrial engineering, production engineering, manufacturing engineering, mechanical engineering, and aerospace engineering.
Geometrical Methods for Power Network Analysis
by Stefano Bellucci Neeraj Gupta Bhupendra Nath TiwariThis book is a short introduction to power system planning and operation using advanced geometrical methods. The approach is based on well-known insights and techniques developed in theoretical physics in the context of Riemannian manifolds. The proof of principle and robustness of this approach is examined in the context of the IEEE 5 bus system. This work addresses applied mathematicians, theoretical physicists and power engineers interested in novel mathematical approaches to power network theory.
Geometrical Objects
by Anthony GerbinoThis volume explores the mathematical character of architectural practice in diverse pre- and early modern contexts It takes an explicitly interdisciplinary approach, which unites scholarship in early modern architecture with recent work in the history of science, in particular, on the role of practice in the "scientific revolution" As a contribution to architectural history, the volume contextualizes design and construction in terms of contemporary mathematical knowledge, attendant forms of mathematical practice, and relevant social distinctions between the mathematical professions As a contribution to the history of science, the volume presents a series of micro-historical studies that highlight issues of process, materiality, and knowledge production in specific, situated, practical contexts Our approach sees the designer's studio, the stone-yard, the drawing floor, and construction site not merely as places where the architectural object takes shape, but where mathematical knowledge itself is deployed, exchanged, and amplified among various participants in the building process.
Geometrical Optics of Weakly Anisotropic Media
by AA FukiUntil recently, there was no effective method for describing waves in weakly anisotropic inhomogeneous media. The method of quasi-isotropic approximation (QIA) of geometrical optics was developed to overcome this problem. The QIA approach bridges the gap between geometrical optics of isotropic media (Rytov method) and that of anisotropic media (Courant-Lax approach). thus providing a complete picture of the geometrical optics of inhomogeneous media. The book explores recent developments in QIA and describes the application of the theory to different branches of wave physics, from plasma physics. quantum physics and ionospheric radio wave propagation to acoustics, optics and astrophysics. The authors present some modifications and generalisations of QIA equations, and look at electromagnetic waves and optical and acoustic effects in weakly anisotropic media, as well as geometrical optics of 3D inhomogeneous media. The book closes with some quantum mechanical analogies. This is an up-to-the minute exposition of the latest developments in an important new area, written by authors of outstanding international reputation. A rich source of both theoretical methods and practical applications, this book covers a wide range of problems of general physical significance and will be of interest to those working in optics, acoustics, electrical engineering, radio engineering and wave propagation through plasma.
Geometrical Theory of Satellite Orbits and Gravity Field (Springer Theses)
by Drazen SvehlaThis book on space geodesy presents pioneering geometrical approaches in the modelling of satellite orbits and gravity field of the Earth, based on the gravity field missions CHAMP, GRACE and GOCE in the LEO orbit. Geometrical approach is also extended to precise positioning in space using multi-GNSS constellations and space geodesy techniques in the realization of the terrestrial and celestial reference frame of the Earth. This book addresses major new developments that were taking place in space geodesy in the last decade, namely the availability of GPS receivers onboard LEO satellites, the multitude of the new GNSS satellite navigation systems, the huge improvement in the accuracy of satellite clocks and the revolution in the determination of the Earth's gravity field with dedicated satellite missions.
Geometry and Vision: First International Symposium, ISGV 2021, Auckland, New Zealand, January 28-29, 2021, Revised Selected Papers (Communications in Computer and Information Science #1386)
by Wei Qi Yan Minh Nguyen Harvey HoThis book constitutes selected papers from the First International Symposium on Geometry and Vision, ISGV 2021, held in Auckland, New Zealand, in January 2021. Due to the COVID-19 pandemic the conference was held in partially virtual format. The 29 papers were thoroughly reviewed and selected from 50 submissions. They cover topics in areas of digital geometry, graphics, image and video technologies, computer vision, and multimedia technologies.
Geometry of Crystals, Polycrystals, and Phase Transformations
by Harshad K. Bhadeshia<p>Organized into a two-part structure aimed at readers of differing experience levels, Geometry of Crystals, Polycrystals, and Phase Transformations is accessible to both newcomers and advanced researchers within the field of crystallography. The first part of the text covers what any reader in the material sciences, physics, chemistry, earth sciences and natural sciences in general should know about crystallography. It is intentionally concise and covers sufficient material to form a firm foundation. <p>The second part is aimed at researchers and discusses phase transformations, deformations, and interface crystallography in depth. The phase transformations are limited to those dominated by crystallography. The entire book contains worked examples and uniquely deals not just with crystals but aggregates of crystals and solid-state transformations between crystals.</p>
Geometry of Surfaces: A Practical Guide for Mechanical Engineers
by Stephen P. RadzevichThis updated and expanded edition presents a highly accurate specification for part surface machining. Precise specification reduces the cost of this widely used industrial operation as accurately specified and machined part surfaces do not need to undergo costly final finishing. Dr. Radzevich describes techniques in this volume based primarily on classical differential geometry of surfaces. He then transitions from differential geometry of surfaces to engineering geometry of surfaces, and examines how part surfaces are either machined themselves, or are produced by tools with surfaces that are precisely machined. The book goes on to explain specific methods, such as derivation of planar characteristic curves based on Plücker conoid constructed at a point of the part surface, and that analytical description of part surface is vital for surfaces machined using CNC technology, and especially so for multi-axes NC machines. Providing readers with a powerful tool for analytical description of part surfaces machined on conventional machine tools and numerically controlled machines, this book maximizes understanding on optimal treatment of part surfaces to meet the requirements of today’s high tech industry.
Geometry of Surfaces: A Practical Guide for Mechanical Engineers
by Stephen P. RadzevichPresents an in-depth analysis of geometry of part surfaces and provides the tools for solving complex engineering problems Geometry of Surfaces: A Practical Guide for Mechanical Engineers is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering. The book is divided into three parts on Part Surfaces, Geometry of Contact of Part Surfaces and Mapping of the Contacting Part Surfaces. Geometry of Surfaces: A Practical Guide for Mechanical Engineers combines differential geometry and gearing theory and presents new developments in the elementary theory of enveloping surfaces. Written by a leading expert of the field, this book also provides the reader with the tools for solving complex engineering problems in the field of mechanical engineering. Presents an in-depth analysis of geometry of part surfaces Provides tools for solving complex engineering problems in the field of mechanical engineering Combines differential geometry and gearing theory Highlights new developments in the elementary theory of enveloping surfaces Essential reading for researchers and practitioners in mechanical, automotive and aerospace engineering industries; CAD developers; and graduate students in Mechanical Engineering.
Geometry, Mechanics, and Control in Action for the Falling Cat (Lecture Notes in Mathematics #2289)
by Toshihiro IwaiThe falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together. As is well known, cats can almost always land on their feet when tossed into the air in an upside-down attitude. If cats are not given a non-vanishing angular momentum at an initial instant, they cannot rotate during their motion, and the motion they can make in the air is vibration only. However, cats accomplish a half turn without rotation when landing on their feet. In order to solve this apparent mystery, one needs to thoroughly understand rotations and vibrations. The connection theory in differential geometry can provide rigorous definitions of rotation and vibration for many-body systems. Deformable bodies of cats are not easy to treat mechanically. A feasible way to approach the question of the falling cat is to start with many-body systems and then proceed to rigid bodies and, further, to jointed rigid bodies, which can approximate the body of a cat. In this book, the connection theory is applied first to a many-body system to show that vibrational motions of the many-body system can result in rotations without performing rotational motions and then to the cat model consisting of jointed rigid bodies. On the basis of this geometric setting, mechanics of many-body systems and of jointed rigid bodies must be set up. In order to take into account the fact that cats can deform their bodies, three torque inputs which may give a twist to the cat model are applied as control inputs under the condition of the vanishing angular momentum. Then, a control is designed according to the port-controlled Hamiltonian method for the model cat to perform a half turn and to halt the motion upon landing. The book also gives a brief review of control systems through simple examples to explain the role of control inputs.
Geomining: Systems and Decision-Oriented Perspective (Studies in Systems, Decision and Control #224)
by Artur Zaporozhets Azer Shukurov Oksana Vovk Natalia ZuievskaThis book represents a comprehensive exploration of the intricate intersection between geology and mining through the lens of system-oriented perspectives. Geomining stands at the forefront of modern resource extraction, blending the principles of geology, engineering, transport, and environmental science to optimize the extraction of minerals and other valuable resources from the Earth's crust. It is a dynamic field that continually evolves in response to technological advancements, environmental concerns, and economic realities. In this book, we aim to capture the essence of geomining as a holistic system, emphasizing the interconnectedness of its various components and the importance of integrated approaches to resource management. The geomining is a complex of heavy industry sectors that includes the exploration of mineral deposits, the extraction of minerals from the Earth's subsurface, and the enrichment of valuable minerals. Among the main groups of the geomining industry, the following are distinguished—fuel extraction (coal, oil, shale, peat, natural gas extraction); ore mining (iron ore, manganese ore, extraction of non-ferrous ores, precious and rare metals, etc.); mining and chemical industry (extraction of potassium salts, rock salt, apatites, nephelines, bauxites, sulfur, phosphorites, etc.); extraction of mineral raw materials for the construction industry; extraction of mineral raw materials for refractory and ceramic industries; hydromeliorative activities. The concept of a system-oriented view on geomining recognizes that mining activities do not occur in isolation but are part of larger, interconnected systems that encompass geological, environmental, social, and economic dimensions. By adopting a systems perspective, we can better understand the complexities inherent in resource extraction and develop more sustainable and efficient mining practices. This book is divided into 3 parts, each focusing on different aspects of geomining from a systems perspective.
Geomorphological Hazards and Disaster Prevention
by Andrew S. Goudie Irasema Alcántara-AyalaHuman activities have had a huge impact on the environment and landscape, through industrialisation and land-use change, leading to climate change, deforestation, desertification, land degradation, and air and water pollution. These impacts are strongly linked to the occurrence of geomorphological hazards, such as floods, landslides, snow avalanches, soil erosion, and others. Geomorphological work includes not only the understanding but the mapping and modelling of Earth's surface processes, many of which directly affect human societies. In addition, geomorphologists are becoming increasingly involved with the dimensions of societal problem solving, through vulnerability analysis, hazard and risk assessment and management. The work of geomorphologists is therefore of prime importance for disaster prevention. An international team of geomorphologists have contributed their expertise to this volume, making this a scientifically rigorous work for a wide audience of geomorphologists and other Earth scientists, including those involved in environmental science, hazard and risk assessment, management and policy.
Geons, Black Holes, and Quantum Foam: A Life in Physics
by Kenneth Ford John Archibald WheelerThe autobiography of one of the preeminent figures in twentieth-century physics. He studied with Niels Bohr, taught Richard Feynman, and boned up on relativity with his friend and colleague Albert Einstein. John Archibald Wheeler's fascinating life brings us face to face with the central characters and discoveries of modern physics. He was the first American to learn of the discovery of nuclear fission, later coined the term "black hole," led a renaissance in gravitation physics, and helped to build Princeton University into a mecca for physicists. From nuclear physics, to quantum theory, to relativity and gravitation, Wheeler's work has set the trajectory of research for half a century. His career has brought him into contact with the most brilliant minds of his field; Fermi, Bethe, Rabi, Teller, Oppenheimer, and Wigner are among those he called colleagues and friends. In this rich autobiography, Wheeler reveals in fascinating detail the excitement of each discovery, the character of each colleague, and the underlying passion for knowledge that drives him still.
Geopedology
by Joseph Alfred Zinck Graciela Metternicht Gerardo Bocco Héctor Francisco Del ValleThis book offers a proven approach for reliable mapping of soil-landscape relationships to derive information for policy, planning and management at scales ranging from local to regional. It presents the theoretical and conceptual framework of the geopedologic approach and a bulk of applied research showing its application and benefits for knowledge generation relevant to geohazard studies, land use conflict analysis, land use planning, land degradation assessment, and land suitability analysis. Soil is a vital resource for society at large and an important determinant of the economic status of nations. The intensification of natural disasters and the increased land use competition for food and energy have raised awareness of the relevant role the pedosphere plays in natural and anthropogenic environments. Recent papers and global initiatives show a renewed interest in soil research and its applications for improved planning and management of this fragile and finite resource.
Geopedology: An Integration Of Geomorphology And Pedology For Soil And Landscape Studies
by Joseph Alfred Zinck Graciela Metternicht Héctor Francisco del Valle Marcos Angelini<p>This updated and revised second edition brings geopedology issues into the current context. This new edition extends the work on popular topics such as digital soil mapping, GIS and landscape mapping, and it also gives valuable insight with up-to-date theoretical discussions and new application with relevant case studies. This textbook offers a proven approach for reliable mapping of soil-landscape relationships to derive information for policy, planning and management at scales ranging from local to regional. Filled with didactic elements such as case studies, visual aids (maps, charts and figures), questions and answers, the book is of interest to geohazard studies, land use conflict analysis, land use planning, land degradation assessment, and land suitability analysis.<p> <p>Soil is a vital resource for society at large and an important determinant of the economic status of nations. The intensification of natural disasters and the increased land use competition for food and energy have raised awareness of the relevant role the pedosphere plays in natural and anthropogenic environments. Recent papers and global initiatives show a renewed interest in soil research and its applications for improved planning and management of this fragile and finite resource.<p>
Geopedology: An Integration of Geomorphology and Pedology for Soil and Landscape Studies
by Joseph Alfred Zinck Graciela Metternicht Héctor Francisco del Valle Marcos AngeliniThis updated and revised second edition brings geopedology issues into the current context. This new edition extends the work on popular topics such as digital soil mapping, GIS and landscape mapping, and it also gives valuable insight with up-to-date theoretical discussions and new application with relevant case studies. This textbook offers a proven approach for reliable mapping of soil-landscape relationships to derive information for policy, planning and management at scales ranging from local to regional. Filled with didactic elements such as case studies, visual aids (maps, charts and figures), questions and answers, the book is of interest to geohazard studies, land use conflict analysis, land use planning, land degradation assessment, and land suitability analysis. Soil is a vital resource for society at large and an important determinant of the economic status of nations. The intensification of natural disasters and the increased land use competition for food and energy have raised awareness of the relevant role the pedosphere plays in natural and anthropogenic environments. Recent papers and global initiatives show a renewed interest in soil research and its applications for improved planning and management of this fragile and finite resource.
Geophysical & Astrophysical Convection (The Fluid Mechanics of Astrophysics and Geophysics)
by Robert M. Kerr Peter A. FoxGeophysical and Astrophysical Convection collects important papers from an international group of the world's foremost researchers in geophysical and astrophysical convection to present a concise overview of recent thinking in the field. Topics include: Atmospheric convection, solar and stellar convection, unsteady non-penetrative thermal convectio
Geopolitical Change and the Antarctic Treaty System: Historical Lessons, Current Challenges (Springer Polar Sciences)
by Shirley V. Scott Tim Stephens Jeffrey McGeeThis book explores how geopolitical tensions have shaped the Antarctic Treaty System (ATS) and offers insights into managing future challenges. The ATS, established with the 1959 Antarctic Treaty during the Cold War, has been a successful model of international governance, ensuring Antarctica's peaceful use and environmental protection. However, the ATS now faces new pressures, including an expanded membership of 57 states, increased economic activities such as tourism, fishing, and bio-prospecting, and the impacts of climate change. These factors are exacerbating geopolitical tensions that could challenge the stability of the ATS. The book examines key moments in the history of the ATS to understand how past tensions were managed and what lessons can be drawn for the future. The volume covers the creation of the CCAMLR marine conservation treaty in the late 1970s-1980s; the developing world's opposition to the ATS in United Nations debates during the 1980s-1990s; the shift from permitting Antarctic mining to establishing the Madrid Protocol on Environmental Protection in the early 1990s; the formation of the International Association of Antarctic Tourism Operators; the management of Illegal, Unregulated, and Unreported (IUU) fishing in the 2000s; and the proposals for marine protected areas under the CCAMLR Convention in recent years. Several contributions also draw on critical and regional perspectives to make sense of geopolitical pressures on Antarctic governance and how they might play out over the years and decades ahead. Through its attention both to critical turning points in the history of the ATS, and a broad range of conceptual approaches, the book provides an authoritative assessment of the ATS's capacity to address emerging geopolitical stresses and provides strategies for future governance. It is a timely resource for understanding the evolving dynamics in Antarctica and ensuring the region remains a zone of peace and scientific collaboration. This book is a companion volume to McGee, Edmiston and Haward, 2022, The Future of Antarctica: Scenarios form Classical Geopolitics, in the Springer Polar Sciences Series.