Products related to Affine:
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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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Mountains Piled Upon Mountains : Appalachian Nature Writing in the Anthropocene
Mountains Piled upon Mountains features nearly fifty writers from across Appalachia sharing their place-based fiction, literary nonfiction, and poetry.Moving beyond the tradition of transcendental nature writing, much of the work collected here engages current issues facing the region and the planet (such as hydraulic fracturing, water contamination, mountaintop removal, and deforestation), and provides readers with insights on the human-nature relationship in an era of rapid environmental change.This book includes a mix of new and recent creative work by established and emerging authors.The contributors write about experiences from northern Georgia to upstate New York, invite parallels between a watershed in West Virginia and one in North Carolina, and often emphasize connections between Appalachia and more distant locations.In the pages of Mountains Piled upon Mountains are celebration, mourning, confusion, loneliness, admiration, and other emotions and experiences rooted in place but transcending Appalachia's boundaries.
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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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Wind : Nature and Culture
By turns creative and destructive, wind spreads seeds, fills sails and disperses the energy of the sun.Worshipped since antiquity, wind has moulded planets, decided the outcome of innumerable battles and shaped the evolution of humans and animals - yet it remains intangible and unpredictable. In this book Louise M. Pryke explores the science behind wind, as well as how it has been imagined and portrayed in myth, religion, art and literature since ancient times.Its formative effect on the Earth's environment is reflected in its prominent role in myths and religions of antiquity.In the modern day, wind has inspired ground-breaking scientific innovations, and appeared in artistic works as diverse as the art of Van Gogh, the poetry of Keats and the blockbuster film Twister.
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Glacier : Nature and Culture
As major actors in the unfolding drama of climate change, glaciers feature prominently in Earth’s past and its future.Wherever on the planet we live, glaciers affect each of us directly.They control the atmospheric and ocean circulations that drive the weather; they supply drinking and irrigation water to millions of people; and they protect us from catastrophic sea-level rise.The very existence of glaciers affects our view of the planet and of ourselves, but it is less than 200 years since we realised that ice ages come and go, and that glaciers once covered much more of the planet’s surface than they do now.An inspiration to artists, a challenge for engineers, glaciers mean different things to different people.Crossing the boundaries between art, environment, science, nature and culture, this book uniquely considers glaciers from a myriad perspectives, revealing their complexity, majesty and importance, but also their fragility.
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Beyond Nature and Culture
Successor to Claude Levi-Strauss at the College de France, Philippe Descola has become one of the most important anthropologists working today, and Beyond Nature and Culture has been a major influence in European intellectual life since its French publication in 2005.Here, finally, it is brought to English-language readers.At its heart is a question central to both anthropology and philosophy: what is the relationship between nature and culture?Culture - as a collective human making, of art, language, and so forth - is often seen as essentially different than nature, which is portrayed as a collective of the nonhuman world, of plants, animals, geology, and natural forces.Descola shows this essential difference to be, however, not only a specifically Western notion, but also a very recent one.Drawing on ethnographic examples from around the world and theoretical understandings from cognitive science, structural analysis, and phenomenology, he formulates a sophisticated new framework, the "four ontologies" - animism, totemism, naturalism, and analogism - to account for all the ways we relate ourselves to nature. By thinking beyond nature and culture as a simple dichotomy, Descola offers nothing short of a fundamental reformulation by which anthropologists and philosophers can see the world afresh.
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Beyond Nature and Culture
Successor to Claude Levi-Strausa at the College de France, Philippe Descola has become one of the most important anthropologists working today, and Beyond Nature and Culture has been a major influence in European intellectual life since its publication in 2005.Here, finally, it is brought to English-language readers.At its heart is a question central to both anthropology and philosophy: what is the relationship between nature and culture?Culture - as a collective human making, of art, language, and so forth - is often seen as essentially different than nature, which is portrayed as a collective of the nonhuman world, of plants, animals, geology, and natural forces.Descola shows this essential difference to be, however, not only a specifically Western notion, but also a very recent one.Drawing on ethnographic examples from around the world and theoretical understandings from cognitive science, structural analysis, and phenomenology, he formulates a sophisticated new framework, the "four ontologies" - animism, totemism, naturalism, and analogism - to account for all the ways we relate ourselves to nature. By thinking beyond nature and culture as a simple dichotomy, Descola offers nothing short of a fundamental reformulation by which anthropologists and philosophers can see the world afresh.
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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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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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Do you like hiking in the mountains?
As an AI, I do not have personal preferences or physical capabilities to engage in activities like hiking. However, I can provide information and tips on hiking in the mountains if you are interested.
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