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| geometry spot.org: Geometry Genius DK, 2020-07-14 An interactive guide to shapes for 5 to 8 year olds, this bright and bold lift-the-flap activity book helps children understand the properties of 2-D and 3-D shapes. Shapes are an important topic for early learners, and this visually appealing book will make it a lot of fun, too! Geometry Genius features fun geometric characters, like Fox and Lion, and lift-the-flap activities that help kids relate shapes to everyday life. Characters pose key questions, such as What's special about a sphere?, What is an equilateral triangle?, and How many lines of symmetry does a hexagon have? Children can then lift the flaps and find the answers. An interactive pop-up will also bring learning to life by encouraging kids to spot different shapes within the scene. Geometry Genius helps kids identify and describe 2-D and 3-D shapes, compare and contrast features of regular and irregular shapes, discuss the size and orientation of shapes, understand nets, identify and count lines of symmetry, and more! It gets kids thinking about shapes in their world and not just on the pages of a math book. Quiz questions and fun activities are found sprinkled throughout the book, encouraging kids to lift the flaps and find out more. Learning shapes is a highly visual topic, and this book tackles the subject in a visually appealing, fully interactive, and playful way. |
| geometry spot.org: Industry 4.0 Driven Manufacturing Technologies Ajay Kumar, Parveen Kumar, Yang Liu, 2024-09-13 This book is a comprehensive guide to the latest advancements in manufacturing, adopting an Industry 4.0 approach. It covers the core principles of big data informatics, digital twin technology, artificial intelligence, and machine learning strategies. Readers will gain insights into the realm of cyber-physical intelligent systems in production, the role of blockchain, and the significance of information and communication technology. With a focus on real-time monitoring and data acquisition, the book offers practical solutions for online error troubleshooting in manufacturing systems. It explores a wide range of Industry 4.0-based applied manufacturing technologies and addresses the challenges posed by the dynamic market of production. Recognizing the lack of a cohesive resource on manufacturing advancements within the context of Industry 4.0, the authors have taken the initiative to compile this valuable knowledge from domain experts. Their goal is to disseminate these insights with this book. The book will be beneficial to various stakeholders, including industries, professionals, academics, research scholars, senior graduate students, and those in the field of human healthcare. With its comprehensive coverage, the book is an important reference for technical institution libraries and a useful reader for senior graduate students. |
| geometry spot.org: Kiselev's Geometry Andreĭ Petrovich Kiselev, 2008 This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled Book I. Planimetry was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography. |
| geometry spot.org: Multiple View Geometry in Computer Vision Richard Hartley, Andrew Zisserman, 2004-03-25 A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book. |
| geometry spot.org: Advances in Manufacturing Engineering Mithilesh K. Dikshit, Ashish Soni, J. Paulo Davim, 2022-08-29 This book presents select peer-reviewed proceedings of the International Conference on Futuristic Advancements in Materials, Manufacturing, and Thermal Sciences (ICFAMMT 2022). The contents of this book provide an overview of the latest research in the area of manufacturing sciences such as metal cutting, metal forming, casting, joining, micromachining, nonconventional machining, and additive manufacturing. Some of the other themes covered in this book are metal-based additive manufacturing, polymer-based additive manufacturing, hybrid additive manufacturing, optimization approach for minimizing GD, and error in additive manufactured parts. The book will be useful for researchers and professionals working in the field of manufacturing engineering. |
| geometry spot.org: Advances in Engineering Design Pawan Kumar Rakesh, Apurbba Kumar Sharma, Inderdeep Singh, 2021-02-04 This book presents the selected peer-reviewed proceedings of the International Conference on Innovative Engineering Design (ICOIED 2020). The contents provide a multidisciplinary approach for the development of innovative product design and their benefits for the society. The book presents latest advances in various fields like design process, service development, micro/nano technology, sensors and MEMS, and sustainability in engineering design. This book can be useful for students, researchers, and professionals interested in innovative product/process design and development. |
| geometry spot.org: Shape Jordan Ellenberg, 2021-05-25 An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word geometrycomes from the Greek for measuring the world. If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how. |
| geometry spot.org: Functional Composite Materials: Manufacturing Technology and Experimental Application C. Samson Jerold Samuel, M. Suresh, S. Gnanasekaran, 2022-04-19 This book highlights the advancements in the manufacture and testing of functional composites, metal matrix composites and polymer matrix composites. Chapters provide information about machinability studies of metals and composites using a variety of analytical techniques. The 12 book chapters also highlight updates in manufacturing technologies like CNC turning processes, electrical discharge machining, end milling, abrasive jet machining, electro chemical machining, additive manufacturing, and resistance spot welding. Readers will learn how to solve applied problems in industrial processing and applications. The book is of significant interest to industrialists working on the basic and experimental parameters for fabricating functional composites and manufacturing technology. Because of the multidisciplinary nature of the presented topics, the information presented in the book is of value to a broad audience involved in research, including materials scientists, chemists, physicists, manufacturing and chemical engineers and processing specialists who are involved and interested in the frontiers of composite materials. |
| geometry spot.org: Computer-aided Technologies Razvan Udroiu, 2016-12-07 The aim of this book is to present the latest applications, trends, and developments of computer-aided technologies (CAx). Computer-aided technologies are the core of product lifecycle management (PLM) and human lifecycle management (HUM). This book has seven chapters, organized in two sections: Computer-Aided Technologies in Engineering and Computer-Aided Technologies in Medicine. The first section treats the different aspects of PLM, including design, simulations and analysis, manufacturing, production planning, and quality assurance. In the second part of the book are presented CAx applications in medicine focused on clinical decision, diagnosis, and biosensor design. CAx plays a key role in a variety of engineering and medical applications, bringing a lot of benefits in product life cycle, extending and improving human life. |
| geometry spot.org: Digital Twin Driven Service Fei Tao, Qinglin Qi, A.Y.C. Nee, 2022-03-14 Digital Twin Driven Smart Service draws on the latest industry practice and research to explain how to implement digital twin service in a range of scenarios. It addresses relevant theory and methodologies, including product service, prognostic health management service, energy efficient service and testing service. Other sections discuss key enabling technologies supported by cutting-edge case studies of implementation. Drawing on the work of researchers at the forefront of this technology, this book is the ideal guide for anyone interested in product services, manufacturing services and digital twin services. This book is one part of a trilogy on digital twins, the other titles being Digital Twin Driven Smart Design and Digital Twin Driven Smart Manufacturing. - Provides a wide range of applications, including tribological testing, cutting tool service and energy efficiency assessment - Explains everything needed to understand and implement digital twin models for service, including frameworks, theories and technologies - Explores future challenges for research in this area, including the ongoing standardization of digital twin technology |
| geometry spot.org: Recent Advances in Transportation Systems Engineering and Management—Volume 1 K. V. R. Ravi Shankar, C. S. R. K. Prasad, C. Mallikarjuna, S. N. Suresha, 2024-10-02 The book presents select proceedings of the 9th Conference on Transportation Systems Engineering and Management (CTSEM 2023). It broadly covers areas of transportation engineering, namely traffic engineering and safety, transportation planning and pavement engineering. In particular, the book delves into the current research in specific areas including but not limited to intelligent transportation systems and applications, public transport planning and management, urban and regional transportation planning, freight transport and logistics, traffic flow modeling and management, highway design and maintenance, pavement materials and characterization, accident investigations and crash preventive measures, pedestrian facilities and safety, pavement design and construction, pavement evaluation and management, and sustainable transportation. It also sheds light on topics like Artificial Intelligence (AI), big data and the Internet of Things (IoT), and their application in transportation systems. This book will be a valuable resource for researchers and professionals in transportation engineering and civil engineering. |
| geometry spot.org: Methods of Geometric Analysis in Extension and Trace Problems Alexander Brudnyi, Prof. Yuri Brudnyi Technion R&D Foundation Ltd, 2013-11-30 The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make the book accessible to a wide audience. |
| geometry spot.org: Sheet Metal 2025 G. Meschut, M. Bobbert, J. Duflou, L. Fratini, H. Hagenah, P. Martins, M. Merklein, F. Micari, 2025-05-05 The book on sheet metals features 45 articles covering the following topics: Forming, Incremental forming, Joining, Simulation, Characterization, Polymers and composites, Machine learning, Sustainability, and Welding and additive manufacturing. Keywords: Forming, Incremental Forming, Joining, Simulation, Characterization, Polymers, Composites, Machine Learning, Sustainability, Welding, Additive Manufacturing. |
| geometry spot.org: Foundations of Algebraic Geometry. --; 29 André 1906- Weil, 2021-09-10 This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| geometry spot.org: New Materials, Processing and Manufacturability R. Thanigaivelan, Pradeep Kumar Krishnan, Kamalakanta Muduli, Santosh Kumar Tamang, 2024-09-04 The book focuses on multiple areas of manufacturing, including cutting-edge material processing technologies, custom-made materials, metallic and non-metallic materials, new engineering experiments, contemporary machining, joining, surface modification, and process optimization techniques. Readers will find in this volume an extensive exploration of various advanced manufacturing and material engineering topics. It includes a detailed examination of aluminum grades and their applications, an overview of cold spray additive manufacturing, and a discussion on Gas Metal Arc Welding (GMAW) for cladding low-carbon steel plates. The volume also presents innovative approaches to brake pedal design using topology optimization, analysis of resistance-spot welding quality, and the impact of shot peening on the corrosion behavior of SiC Particle Reinforced Aluminum Composite. It highlights crucial factors in 3D printed component strength, reviews 3D milling operations with ABAQUS, and delves into the rare ferroelectric material Fresnoite. The book surveys visual sensing technologies for weld pool analysis, simulates Claus Sulfur Recovery Units with Aspen Plus, and discusses ultrasonic-assisted stir casting for metal matrix nanocomposites. It also covers the joining of dissimilar magnesium alloys, advancements in electrochemical surface coatings, unconventional machining techniques, surface coating processes using pulsed power systems, natural fiber-reinforced composite fabrication, and process parameter optimization in laser beam welding using NSGA-II. Audience The book will interest researchers in academia and industry engineers in advanced manufacturing, materials science, surface science, adhesion and coatings, production engineering, civil engineering, and welding. |
| geometry spot.org: Fatigue in Friction Stir Welding J. Brian Jordon, Robert Amaro, Paul Allison, Harish Rao, 2019-02-27 Fatigue in Friction Stir Welding provides knowledge on how to design and fabricate high performance, fatigue resistance FSW joints. It summarizes fatigue characterizations of key FSW configurations, including butt and lap-shear joints. The book's main focus is on fatigue of aluminum alloys, but discussions of magnesium, steel, and titanium alloys are also included. The FSW process-structure-fatigue performance relationships, including tool rotation, travel speeds, and pin tools are covered, along with sections on extreme fatigue conditions and environments, including multiaxial, variable amplitude, and corrosion effects on fatigue of the FSW. From a practical design perspective, appropriate fatigue design guidelines, including engineering and microstructure-sensitive modeling approaches are discussed. Finally, an appendix with numerous representative fatigue curves for design and reference purposes completes the work. - Provides a comprehensive characterization of fatigue behavior for various FSW joints and alloy combinations, along with an in-depth presentation on crack initiation and growth mechanisms - Presents the relationships between process parameters and fatigue behavior - Discusses modeling strategies and design recommendations, along with experimental data for reference purposes |
| geometry spot.org: Manufacturing Driving Circular Economy Holger Kohl, Günther Seliger, Franz Dietrich, 2023-05-27 This is an open access book. It gathers the proceedings of the 18th Global Conference on Sustainable Manufacturing, held on October 5-7, 2022, as a hybrid event, in/from Berlin, Germany. With a focus on manufacturing advances and practices driving the circular economy, the chapters selected for this book report on sustainable manufacturing technologies for the mobility, energy and construction sector, and for machines and equipments, covering applications of artificial intelligence and industry 4.0. Moreover, they discuss energy-efficient process, waste reuse, and CO2 neutral production, giving a special emphasis to developing sustainable manufacturing in emerging countries. This book offers extensive and timely information for both researchers and professionals in the field of manufacturing and business development. |
| geometry spot.org: ISTFA 2010 , 2010-01-01 |
| geometry spot.org: How Learning Works Susan A. Ambrose, Michael W. Bridges, Michele DiPietro, Marsha C. Lovett, Marie K. Norman, 2010-04-16 Praise for How Learning Works How Learning Works is the perfect title for this excellent book. Drawing upon new research in psychology, education, and cognitive science, the authors have demystified a complex topic into clear explanations of seven powerful learning principles. Full of great ideas and practical suggestions, all based on solid research evidence, this book is essential reading for instructors at all levels who wish to improve their students' learning. —Barbara Gross Davis, assistant vice chancellor for educational development, University of California, Berkeley, and author, Tools for Teaching This book is a must-read for every instructor, new or experienced. Although I have been teaching for almost thirty years, as I read this book I found myself resonating with many of its ideas, and I discovered new ways of thinking about teaching. —Eugenia T. Paulus, professor of chemistry, North Hennepin Community College, and 2008 U.S. Community Colleges Professor of the Year from The Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education Thank you Carnegie Mellon for making accessible what has previously been inaccessible to those of us who are not learning scientists. Your focus on the essence of learning combined with concrete examples of the daily challenges of teaching and clear tactical strategies for faculty to consider is a welcome work. I will recommend this book to all my colleagues. —Catherine M. Casserly, senior partner, The Carnegie Foundation for the Advancement of Teaching As you read about each of the seven basic learning principles in this book, you will find advice that is grounded in learning theory, based on research evidence, relevant to college teaching, and easy to understand. The authors have extensive knowledge and experience in applying the science of learning to college teaching, and they graciously share it with you in this organized and readable book. —From the Foreword by Richard E. Mayer, professor of psychology, University of California, Santa Barbara; coauthor, e-Learning and the Science of Instruction; and author, Multimedia Learning |
| geometry spot.org: What's Happening in the Mathematical Sciences Barry Cipra, Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers. |
| geometry spot.org: Welding Technology J. Paulo Davim, 2021-02-12 This book presents some developments in the field of welding technology. It starts with classical welding concepts, covering then new approaches. Topics such as ultrasonic welding, robots welding, welding defects and welding quality control are presented in a clear, didactic way. Lower temperature metal-joining techniques such as brazing and soldering are highlighted as well. |
| geometry spot.org: Raman Spectroscopy Gustavo Morari Do Nascimento, 2018-04-18 This book gives a wide overview of the state-of-the-art applications of Raman spectroscopy in characterization of materials and biomaterials. The Raman signal is intrinsically smaller than other vibrational techniques; however, mainly through intensification processes, such as resonance Raman (RR) and surface-enhanced Raman spectroscopy (SERS), the Raman cross section can be strongly amplified. Thoroughly in these signal amplifications, the study of a diversity of chemical systems and the use of Raman technique for in situ and in vivo measurements is possible. The main goal of this book is to open up to an extended audience the possibilities of uses of Raman spectroscopy. In fact, this collective work will be beneficial to students, teachers, and researchers of many areas who are interested to expand their knowledge about Raman spectroscopy applied to nanotechnology, biotechnology, environmental science, inorganic chemistry, and health sciences. |
| geometry spot.org: Space and Geospatial Technologies for the Africa We Want Jossam Potel, Kamal Labbassi, Solomon Tesfamichael, Harold Annegarn, Jide Kufoniyi, Souleye Wade, 2024-10-25 This book comprises the contributions of the African Association of Remote Sensing of the Environment (AARSE) international conference which is conducted biennially across Africa, alternately with the AfricaGIS conference. It is the premier forum in Africa for research on remote sensing technologies and geospatial information science, gathering leading scholars from the remote sensing and related communities. The 13th AARSE International Conference was held on October 24-28, 2022 in Kigali, Rwanda, to focus on Earth observations and geospatial science to achieve the Sustainable Development Goals. The five-day event themed “Space and Geospatial Technologies for the Africa We Want” was organized by the African Association of Remote Sensing of the Environment (AARSE) and the Institut d’Enseignement Supérieur de Ruhengeri (Ines-Ruhengeri) in partnership with Rwanda Space Agency and Space in Africa. Furthermore, the conference was sponsored by GMES and Africa, the Regional Centre For Mapping Of Resources For Development (RCMRD), Airbus, European Space Agency (ESA), Digital Earth Africa, and INES-Ruhengeri and Rwanda Space Agency. The 13th Conference continues a long series of successful AARSE conferences which started in 1996, in Harare (Zimbabwe), and has been held in Abidjan (Cote D'Ivoire) in 1998, Cape Town (South Africa) in 2000, Abuja (Nigeria) in 2002, Nairobi (Kenya) in 2004, Cairo (Egypt) in 2006, Accra (Ghana) in 2008, Addis Abeba (Ethiopia) in 2010, El Jadida (Morocco) in 2012, Johannesburg (South Africa) in 2014, Kampala (Ouganda) in 2016, and in Alexandria (Egypt) in 2018. The book is mainly addressed to practitioners and experts from academia, politics, and industry. |
| geometry spot.org: ISTFA 2012 ASM International, EDFAS Organizing Committee, editors, 2012 |
| geometry spot.org: Engineering Principles Kavian Cooke, Ronaldo Câmara Cozza, 2022-06-23 Over the last decade, there has been substantial development of welding technologies for joining advanced alloys and composites demanded by the evolving global manufacturing sector. The evolution of these welding technologies has been substantial and finds numerous applications in engineering industries. It is driven by our desire to reverse the impact of climate change and fuel consumption in several vital sectors. This book reviews the most recent developments in welding. It is organized into three sections: “Principles of Welding and Joining Technology,” “Microstructural Evolution and Residual Stress,” and “Applications of Welding and Joining.” Chapters address such topics as stresses in welding, tribology, thin-film metallurgical manufacturing processes, and mechanical manufacturing processes, as well as recent advances in welding and novel applications of these technologies for joining different materials such as titanium, aluminum, and magnesium alloys, ceramics, and plastics. |
| geometry spot.org: Advances in Additive Manufacturing and Metal Joining N. Ramesh Babu, Santosh Kumar, P. R. Thyla, K. Sripriyan, 2023-05-16 This book presents select proceedings of the 8th International and 29th All India Manufacturing Technology, Design and Research Conference (AIMTDR 2021). It discusses the latest advances in miniature manufacturing, machining of miniature components, surface engineering, nanomaterials, nanotechnology, Industry 4.0, optimization techniques, micro-electric discharge machining, electrochemical micro-machining, thin films, optimization of micro-machining process parameters, machining of nano-composites, characterization using atomic force microscopy, micro-tool fabrications, characterization of nano-composites, surface roughness analysis, tribological performance of surface coated materials and sustainability in manufacturing. The contents of this book are useful for students, researchers and as well as industry professionals in the various fields of mechanical engineering. |
| geometry spot.org: The Blind Spot Jean-Yves Girard, 2011 These lectures on logic, more specifically proof theory, are basically intended for postgraduate students and researchers in logic. The question at stake is the nature of mathematical knowledge and the difference between a question and an answer, i.e., the implicit and the explicit. The problem is delicate mathematically and philosophically as well: the relation between a question and its answer is a sort of equality where one side is ``more equal than the other'': one thus discovers essentialist blind spots. Starting with Godel's paradox (1931)--so to speak, the incompleteness of answers with respect to questions--the book proceeds with paradigms inherited from Gentzen's cut-elimination (1935). Various settings are studied: sequent calculus, natural deduction, lambda calculi, category-theoretic composition, up to geometry of interaction (GoI), all devoted to explicitation, which eventually amounts to inverting an operator in a von Neumann algebra. Mathematical language is usually described as referring to a preexisting reality. Logical operations can be given an alternative procedural meaning: typically, the operators involved in GoI are invertible, not because they are constructed according to the book, but because logical rules are those ensuring invertibility. Similarly, the durability of truth should not be taken for granted: one should distinguish between imperfect (perennial) and perfect modes. The procedural explanation of the infinite thus identifies it with the unfinished, i.e., the perennial. But is perenniality perennial? This questioning yields a possible logical explanation for algorithmic complexity. This highly original course on logic by one of the world's leading proof theorists challenges mathematicians, computer scientists, physicists, and philosophers to rethink their views and concepts on the nature of mathematical knowledge in an exceptionally profound way. |
| geometry spot.org: Lecture Notes on Motivic Cohomology Carlo Mazza, Vladimir Voevodsky, Charles A. Weibel, 2006 The notion of a motive is an elusive one, like its namesake the motif of Cezanne's impressionist method of painting. Its existence was first suggested by Grothendieck in 1964 as the underlying structure behind the myriad cohomology theories in Algebraic Geometry. We now know that there is a triangulated theory of motives, discovered by Vladimir Voevodsky, which suffices for the development of a satisfactory Motivic Cohomology theory. However, the existence of motives themselves remains conjectural. This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings such as Milnor K-theory, etale cohomology, and Chow groups. The book is divided into lectures, grouped in six parts. The first part presents the definition of Motivic Cohomology, based upon the notion of presheaves with transfers. Some elementary comparison theorems are given in this part. The theory of (etale, Nisnevich, and Zariski) sheaves with transfers is developed in parts two, three, and six, respectively. The theoretical core of the book is the fourth part, presenting the triangulated category of motives. Finally, the comparison with higher Chow groups is developed in part five. The lecture notes format is designed for the book to be read by an advanced graduate student or an expert in a related field. The lectures roughly correspond to one-hour lectures given by Voevodsky during the course he gave at the Institute for Advanced Study in Princeton on this subject in 1999-2000. In addition, many of the original proofs have been simplified and improved so that this book will also be a useful tool for research mathematicians. Information for our distributors: Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA). |
| geometry spot.org: Advanced Joining Processes Lucas F. M. da Silva, Mohamad S. El-Zein, Paulo A.F. Martins, 2020-10-31 Advanced Joining Processes: Welding, Plastic Deformation, and Adhesion brings together a range of advanced thermal, mechanical, and chemical methods of joining, offering an up-to-date resource for those looking to understand and utilize the very latest techniques. Efficient joining techniques are critical to a range of innovative applications, with technology in constant development. The first section of the book provides in-depth information on advanced welding techniques, including friction stir, explosive, ultrasonic, laser, electron beam, and computational weld analysis and fatigue of structures. The second section highlights key developments in joining by plastic deformation, adhesive bonding, and hybrid joining. The coverage of each technique is supported by practical guidance, detailed analysis, and finite element simulations. This is an essential reference for researchers and advanced students in joining, welding, adhesion, materials processing, mechanical engineering, plastics engineering, manufacturing, civil engineering, and automotive/aerospace engineering, as well as engineers, scientists, and R&D professionals, using joining, welding, and adhesion methods, across a range of industries. - Presents the latest research findings and developments across welding, joining by plastic deformation, and adhesion - Includes state-of-the-art methods, such as laser, ultrasonic and electron beam welding, hybrid joining, and the use of electromagnetic pulses - Offers practical guidance, detailed analysis, and finite element simulations, for all techniques covered |
| geometry spot.org: Trends in Welding Research Stan A. David, 2009-01-01 |
| geometry spot.org: Current Approaches in Applied Artificial Intelligence Moonis Ali, Young Sig Kwon, Chang-Hwan Lee, Juntae Kim, Yongdai Kim, 2015-04-30 This book constitutes the refereed conference proceedings of the 28th International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems, IEA/AIE 2015, held in Seoul, South Korea, in June 2015. The 73 revised full papers presented were carefully reviewed and selected from 105 submissions. The papers cover a wide range of topics in applied artificial intelligence including reasoning, robotics, cognitive modeling, machine learning, pattern recognition, optimization, text mining, social network analysis, and evolutionary algorithms. They are organized in the following topical sections: theoretical AI, knowledge-based systems, optimization, Web and social networks, machine learning, classification, unsupervised learning, vision, image and text processing, and intelligent systems applications. |
| geometry spot.org: Innovative Lightweight and High-Strength Alloys Mohammed A. Zikry, 2024-04-23 Innovative Lightweight and High Strength Alloys: Multiscale Integrated Processing, Experimental, and Modeling Techniques provides multiscale processing, experimental and modeling techniques overviews and perspectives that highlight current roadblocks to optimal design of new alloys alongside solutions. Critical microstructural, chemical and mechanical aspects are considered with techniques for significantly improving mechanical properties. Case studies, applications and hands-on techniques that can be put into immediate practice are included throughout. Sections cover processing techniques for various alloys, including aluminum, titanium, martensitic, austenitic, and others. Additive manufacturing of alloys is also covered, along with updates on mechanical quasi-static, chemically-based, and dynamic experimentation techniques, and more. The book concludes with a modeling section that features several chapters covering multiscale, microstructural, combinatorial computational, and machine learning modeling techniques. - Provides solutions for designing innovative and durable alloys - Demonstrates how to optimally combine alloys with other metallic and non-metallic material systems for longer life cycles and better durability in extreme environments and loading conditions - Outlines a variety of experimentation, characterization and modeling techniques that can be put into immediate practice |
| geometry spot.org: Materials, Design and Manufacturing for Sustainable Environment Elango Natarajan, S. Vinodh, V. Rajkumar, 2022-09-28 The book presents select proceedings of the International Conference on Materials, Design and Manufacturing (ICMDMSE 2022). The book covers recent trends in design and manufacturing practices relating to sustainability. Various topics covered in this book include materials design for sustainability, material characterization, tribology, finite element methods (FEM), computational fluid dynamics in designing materials, manufacturing techniques inclined to sustainability, additive manufacturing, energy, Industry 4.0, MEMS, green manufacturing, and optimization techniques. This book will be useful for researchers and professionals working in various fields of mechanical engineering. |
| geometry spot.org: Advancements in biomechanical modeling of injuries, diseases, diagnoses, and treatments of lower extremities Chih-Hsiu Cheng, Mohammad Nikkhoo, Lizhen Wang, Ching-Chi Hsu, 2023-05-02 |
| geometry spot.org: Residual Stresses 2016 Thomas M. Holden, Ondrej Muránsky, Lyndon Edwards, 2017-03-15 This book presents the proceedings of the International Conference on Residual Stresses 10 and is devoted to the prediction/modelling, evaluation, control, and application of residual stresses in engineering materials. New developments, on stress-measurement techniques, on modelling and prediction of residual stresses and on progress made in the fundamental understanding of the relation between the state of residual stress and the material properties, are highlighted. The proceedings offer an overview of the current understanding of the role of residual stresses in materials used in wide ranging application areas. |
| geometry spot.org: Trends in Welding Research 2012: Proceedings of the 9th International Conference Tarasankar DebRoy, Stan A. David, John N. DuPont, Toshihiko Koseki, Harry K. Bhadeshia, 2013-03-01 The Trends conference attracts the world's leading welding researchers. Topics covered in this volume include friction stir welding, sensing, control and automation, microstructure and properties, welding processes, procedures and consumables, weldability, modeling, phase transformations, residual stress and distortion, physical processes in welding, and properties and structural integrity of weldments. |
| geometry spot.org: Teaching Pupils with Visual Impairment Ruth Salisbury, 2007-08-07 Bursting with practical advice, suggestions and handy tips, providing readers with a positive starting point for sharing ideas and good practice, this is a key practical guide to making learning accessible for primary and secondary school pupils with visual impairment. This user-friendly book shows how, with appropriate support, pupils with visual impairment in mainstream schools can have as rewarding an experience of education as their sighted peers. The majority of contributors are qualified teachers for visual impairment, with many years' experience working with pupils in a variety of settings. Covering the curriculum and each subject area in detail, Teaching Pupils with Visual Impairment includes guidance on: activities within and outside the classroom making the school's physical environment accessible inclusion within the school's social environment. Teachers and support staff will have immediate access to a wealth of ideas, supported by invaluable resources on the accompanying website, including a complete electronic version of the book in large print, allowing older pupils to take a more active role in the learning process. |
| geometry spot.org: Handbook of Smart Materials, Technologies, and Devices Chaudhery Mustansar Hussain, Paolo Di Sia, 2022-11-09 This handbook brings together technical expertise, conceptual background, applications, and societal aspects of Industry 4.0: the evolution of automation and data exchange in fabrication technologies, materials processing, and device manufacturing at both experimental and theoretical model scales. The book assembles all the aspects of Industry 4.0, starting from the emergence of the concept to the consequences of its progression. Drawing on expert contributors from around the world, the volume details the technologies that sparked the fourth revolution and illustrates their characteristics, potential, and methods of use in the industrial and societal domains. In addition, important topics such as ethics, privacy and security are considered in a reality where all data is shared and saved remotely. The collection of contribution serve a very broad audience working in the fields of science and engineering, chemical engineering, materials science, nanotechnology, energy, environment, green chemistry, sustainability, electrical and electronic engineering, solid-state physics, surface science, aerosol technology, chemistry, colloid science, device engineering, and computer technology. This handbook ideal reference libraries in universities and industrial institutions, government and independent institutes, individual research groups and scientists. |
| geometry spot.org: Aluminum Auto-Body Joining George Nicholas Bullen, 2015-11-11 Fusing aluminum in a multi-material lightweight vehicle is presented via studies on joining dissimilar materials, joining methods, and the performance of the joined materials. The use of aluminum offers a material that embodies properties to meet new standards as the automotive industry continues to pursue improvements in fuel efficiency and emissions. Aluminum’s strength, light weight, and corrosion resistance offers manufacturers a material alternative to steel and an additional material, which has long been known in the industry, to be employed in automotive construction. Topics of technical interest include: • Forming • Galvanic Corrosion • Welding, Fastening, Bonding • Maximizing Weight Benefits Production of strong, lightweight structures will contribute significantly to automobile manufacturers meeting mandated fuel economy standards, as well as customer preferences for utility, comfort, and safety. Materials selection and application are critical components to the design of lightweight vehicles. Joining technologies and the relationship of the materials that are joined to meet the design and assembly requirements are presented in this work and also frame the foundation for innovative joining methods for the next generation of lightweight vehicles. |
| geometry spot.org: Alternative Cars in the 21st Century Robert Q Riley, 2003-10-17 The rapidly changing landscape of alternative car technologies created the need for the second edition of Alternative Cars in the 21st Century: A New Personal Transportation Paradigm. This essential publication provides an abundance of critical knowledge for engineering professionals and consumers alike, offering a brighter alternative future through better alternative cars. |
Geometry - Wikipedia
Geometry (from Ancient Greek γεωμετρία (geōmetría) ' land measurement '; from γῆ (gê) ' earth, land ' and μέτρον (métron) ' a measure ') [1] is a branch of mathematics concerned with …
Geometry | Definition, History, Basics, Branches, & Facts | Britannica
geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
Geometry - Math is Fun
Geometry is all about shapes and their properties. If you like playing with objects, or like drawing, then geometry is for you!
Geometry - Art of Problem Solving
Geometry is the field of mathematics dealing with figures in a given space. It is one of the two oldest branches of mathematics, along with arithmetic (which eventually branched into number theory …
All Geometry Formulas | 2D and 3D Geometry Formulas
Geometry Formulas - Calculating the length, perimeter, area and volume of different geometric figures and shapes. Understand geometry formulas with derivation, examples, and FAQs.
What Is Geometry in Math? Definition, Solved Examples, Facts
Geometry is a branch of mathematics that deals with shapes, sizes, angles, and dimensions of objects. Explore 2D and 3D shapes, angles in geometry with examples!
Geometry Definition - BYJU'S
Geometry is the study of different types of shapes, figures and sizes in Maths or in real life. In geometry, we learn about different angles, transformations and similarities in the figures. The …
Geometry - GeeksforGeeks
Apr 7, 2025 · This section introduces fundamental geometry topics, including points, lines, angles, triangles, quadrilaterals, circles, and polygons. You'll also learn key theorems and real-life …
Geometry - Mathematics LibreTexts
Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures.
1. Introduction to Geometry - Interactive Mathematics
Follow along as we give you an introduction to geometry, helping you see the world from a new angle. What is Geometry? Geometry is a field of mathematics that relates to objects, or …
Geometry - Wikipedia
Geometry (from Ancient Greek γεωμετρία (geōmetría) ' land measurement '; from γῆ (gê) ' earth, land ' and μέτρον (métron) ' a measure ') [1] is a branch of mathematics concerned with …
Geometry | Definition, History, Basics, Branches, & Facts | Britannica
geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
Geometry - Math is Fun
Geometry is all about shapes and their properties. If you like playing with objects, or like drawing, then geometry is for you!
Geometry - Art of Problem Solving
Geometry is the field of mathematics dealing with figures in a given space. It is one of the two oldest branches of mathematics, along with arithmetic (which eventually branched into number …
All Geometry Formulas | 2D and 3D Geometry Formulas
Geometry Formulas - Calculating the length, perimeter, area and volume of different geometric figures and shapes. Understand geometry formulas with derivation, examples, and FAQs.
What Is Geometry in Math? Definition, Solved Examples, Facts
Geometry is a branch of mathematics that deals with shapes, sizes, angles, and dimensions of objects. Explore 2D and 3D shapes, angles in geometry with examples!
Geometry Definition - BYJU'S
Geometry is the study of different types of shapes, figures and sizes in Maths or in real life. In geometry, we learn about different angles, transformations and similarities in the figures. The …
Geometry - GeeksforGeeks
Apr 7, 2025 · This section introduces fundamental geometry topics, including points, lines, angles, triangles, quadrilaterals, circles, and polygons. You'll also learn key theorems and real-life …
Geometry - Mathematics LibreTexts
Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures.
1. Introduction to Geometry - Interactive Mathematics
Follow along as we give you an introduction to geometry, helping you see the world from a new angle. What is Geometry? Geometry is a field of mathematics that relates to objects, or …
