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Espace Affine
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Affine Arithmetic-Based Methods for Uncertain Power System Analysis
Affine Arithmetic-Based Methods for Uncertain Power System Analysis presents the unique properties and representative applications of Affine Arithmetic in power systems analysis, particularly as they are deployed for reliability optimization.The work provides a comprehensive foundation in Affine Arithmetic necessary to understand the central computing paradigms that can be adopted for uncertain power flow and optimal power flow analyses.These paradigms are adapted and applied to case studies, which integrate benchmark test systems and full step-by-step procedure for implementation so that readers are able to replicate and modify.The work is presented with illustrative numerical examples and MATLAB computations.
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Piecewise Affine Control : Continuous-Time, Sampled-Data, and Networked Systems
Engineering systems operate through actuators, most of which will exhibit phenomena such as saturation or zones of no operation, commonly known as dead zones.These are examples of piecewise-affine characteristics, and they can have a considerable impact on the stability and performance of engineering systems.This book targets controller design for piecewise affine systems, fulfilling both stability and performance requirements. The authors present a unified computational methodology for the analysis and synthesis of piecewise affine controllers, taking an approach that is capable of handling sliding modes, sampled-data, and networked systems.They introduce algorithms that will be applicable to nonlinear systems approximated by piecewise affine systems, and they feature several examples from areas such as switching electronic circuits, autonomous vehicles, neural networks, and aerospace applications. Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems is intended for graduate students, advanced senior undergraduate students, and researchers in academia and industry.It is also appropriate for engineers working on applications where switched linear and affine models are important.
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Yaw Sensor MR587733 - Precise Angular Measurement for Robotics, UAVs, and Automobiles
Yaw Sensor MR587733 - Precise Angular Measurement for Robotics, UAVs, and Automobiles
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What is affine independence?
Affine independence refers to a set of points in a vector space that are not collinear, meaning they do not lie on the same straight line. In other words, the points are not linearly dependent, and there is no way to express one of the points as a linear combination of the others. Affine independence is important in various mathematical and geometric contexts, such as in linear algebra, optimization, and computer graphics.
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What are affine subspaces?
Affine subspaces are sets of points in a vector space that are closed under affine combinations. An affine combination of points is a weighted sum of the points where the weights sum to 1. Affine subspaces can be thought of as generalizations of lines, planes, and hyperplanes in higher dimensions. They can be represented as translations of linear subspaces, and they are characterized by the property that any two points in the subspace determine a unique line contained in the subspace.
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What is an affine subject?
An affine subject refers to a person who is emotionally invested in a particular topic or issue. This emotional investment can lead the person to have a biased or subjective perspective on the matter. Affine subjects may have personal experiences, beliefs, or values that strongly influence their views and opinions on the topic, making it difficult for them to remain completely objective. It is important to recognize and consider the influence of affine subjects when evaluating their perspectives on a given subject.
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What is the main theorem of affine geometry?
The main theorem of affine geometry states that given a set of points and a set of vectors in a vector space, there exists a unique affine space such that the points correspond to the origin of the space and the vectors correspond to the translations of the space. This theorem forms the foundation of affine geometry, which studies the properties of affine spaces and their transformations without considering the concept of distance or angles. It provides a framework for understanding the geometric properties of objects that remain unchanged under translation, rotation, and scaling.
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Robotics and Automation in Healthcare : Advanced Applications
The recent pandemic has forced researchers to adapt technologies such as robotics and AI in the healthcare field.This book, Robotics and Automation in Healthcare: Advanced Applications, explores these new technologies by focusing on important issues related to the employment of robotics and automation in healthcare, such as in medical diagnosis, treatment, and surgery. The volume reviews wireless charging of implantable pacemakers, considers smart bot design for library building of medical colleges, and discusses strain distribution in biomechanical systems.Other topics included in the book are medical imaging, drone technology, 3D printing, and image processing techniques.The application and importance of actuators in medical devices, especially during surgery, is discussed, as are wearable devices for pre-identification of seizure development.The volume also looks at a decision support system for detection of suitable robots and early detection of diseases with the support of image processing techniques.The application of nano-robots in healthcare is also explored. Providing advanced information and insight into robotics, wearable devices, and applications of image processing in healthcare field, this volume will be helpful to those in communications and electronics engineering as well as those at the forefront of smart technology in healthcare.
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Food Engineering Automation with Robotics and AI
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Industrial Automation and Robotics : Techniques and Applications
This book discusses the radical technological changes occurring due to Industry 4.0, with a focus on offering a better understanding of the Fourth Industrial Revolution.It also presents a detailed analysis of interdisciplinary knowledge, numerical modeling and simulation, and the application of cyber–physical systems, where information technology and physical devices create synergic systems leading to unprecedented efficiency.The book focuses on industrial applications of automation and robotics.It covers recent developments and trends occurring in both computer-aided manufacturing techniques, as well as computer-aided assembly techniques.Robots using embedded systems and artificial intelligence applications are also covered.Industrial Automation and Robotics: Techniques and Applications offers theoretical results, practical solutions, and guidelines that are valuable for both researchers and those working in the area of engineering.
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Robots, Automation and the Innovation Economy
Cascades of new technologies and innovations are entering our lives so fast that it is difficult for us to adapt to one innovation before the next becomes embedded into our everyday lives.What happens when the changes brought by technology are so profound that they affect all aspects of our lives?This book explores the potential impact of artificial intelligence (AI) and intelligent robots on individuals, organizations and society, specifically examining the impact on jobs and workplaces in the future.It provides an understanding of how we can adapt to changes that appear like flocks of black swans. Five key areas are unpacked in the book: automation, AI, (the significance of AI technology), innovation, competence transformation, and the fact that the pace of change is so rapid that it outstrips our ability to adapt to consecutive changes.The main objective is to show how AI will change society and how we as individuals and society must adapt in order to survive what the author terms ‘robot shock’, together with its consequences and after-effects.It offers a greater understanding of resistance to change and how we need to adopt strategies for adapting to major changes.Each of the book’s six chapters also contains policy inputs, framed as propositions, that are intended specifically for decision-makers.The book concludes by offering possible strategies for overcoming the negative effects of ‘robot shock’. The book intends to send a message to leaders of institutions, decision-makers and anyone attempting to understand and explain how we – as a social system – can succeed in tackling the many major challenges and crises faced by humanity.
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What is an affine subspace and what is a spanned subspace?
An affine subspace is a subset of a vector space that is obtained by translating a subspace by a fixed vector. It is a flat geometric object that does not necessarily pass through the origin. On the other hand, a spanned subspace is a subspace that is formed by taking linear combinations of a set of vectors. It is the smallest subspace that contains all the vectors in the set.
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What is the difference between similarity transformation and affine transformation in geometry?
In geometry, a similarity transformation preserves the shape of a figure while changing its size. This transformation involves scaling, rotating, and reflecting the figure. On the other hand, an affine transformation includes not only scaling, rotating, and reflecting, but also translations. Affine transformations preserve parallel lines and ratios of distances between points, but they do not necessarily preserve angles or shapes.
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How difficult is a study of robotics and automation?
The study of robotics and automation can be challenging due to its interdisciplinary nature, requiring knowledge in fields such as mechanical engineering, electrical engineering, computer science, and control systems. Additionally, the rapid advancements in technology and the need to stay updated with the latest developments can add to the complexity of the study. However, with dedication, problem-solving skills, and a strong foundation in mathematics and physics, students can overcome these challenges and excel in the field of robotics and automation.
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What disadvantage does the Caesar encryption have compared to the general definition of affine ciphers?
The disadvantage of the Caesar encryption compared to the general definition of affine ciphers is that it is a special case of the affine cipher with a limited set of possible keys. In the Caesar encryption, the key is limited to a single number representing the shift value, while the general affine cipher allows for a wider range of possible keys, including both a multiplicative and additive component. This limitation makes the Caesar encryption more vulnerable to brute force attacks, as there are only 25 possible keys to try compared to the larger key space of the general affine cipher.
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