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Dimension And Extensions


Dimension And Extensions
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Dimension And Extensions


Dimension And Extensions
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Author : J.M. Aarts
language : en
Publisher: Elsevier
Release Date : 1993-01-28

Dimension And Extensions written by J.M. Aarts and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-28 with Mathematics categories.


Two types of seemingly unrelated extension problems are discussed in this book. Their common focus is a long-standing problem of Johannes de Groot, the main conjecture of which was recently resolved. As is true of many important conjectures, a wide range of mathematical investigations had developed, which have been grouped into the two extension problems. The first concerns the extending of spaces, the second concerns extending the theory of dimension by replacing the empty space with other spaces.The problem of de Groot concerned compactifications of spaces by means of an adjunction of a set of minimal dimension. This minimal dimension was called the compactness deficiency of a space. Early success in 1942 lead de Groot to invent a generalization of the dimension function, called the compactness degree of a space, with the hope that this function would internally characterize the compactness deficiency which is a topological invariant of a space that is externally defined by means of compact extensions of a space. From this, the two extension problems were spawned.With the classical dimension theory as a model, the inductive, covering and basic aspects of the dimension functions are investigated in this volume, resulting in extensions of the sum, subspace and decomposition theorems and theorems about mappings into spheres. Presented are examples, counterexamples, open problems and solutions of the original and modified compactification problems.



Dimensions Of Extension Education


Dimensions Of Extension Education
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Author : B.P.Mohapatra
language : en
Publisher: New India Publishing Agency
Release Date : 2014-01-01

Dimensions Of Extension Education written by B.P.Mohapatra and has been published by New India Publishing Agency this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-01 with Law categories.


The book is purely a text book for the undergraduate students of extension education in colleges. This is based on the syllabus of first year agriculture students. This will help the students for the NET and JRF examinations. The book consists of six s mainly dealing with the basics of extension education, community development, rural development, and important rural as well as community development programmes as per the syllabus. Besides, some frontier areas of extension are also discussed in the book.



Eyelash Extensions The Guide For Dummies Step By Step


Eyelash Extensions The Guide For Dummies Step By Step
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Author : Raul Dominguez
language : en
Publisher: Raul Dominguez
Release Date :

Eyelash Extensions The Guide For Dummies Step By Step written by Raul Dominguez and has been published by Raul Dominguez this book supported file pdf, txt, epub, kindle and other format this book has been release on with Art categories.


Eyelash extensions add length and volume. They improve appearance, self-esteem, are not permanent, and have 100% satisfaction. Once you receive an eyelash extensions service, there is no going back; two or three weeks later, you will need them again, and that cycle can be very beneficial for business and, as I said before: self-esteem. People are more confident and positive when they look in the mirror and feel good about themselves. Let's say it's a profitable trade. You offer well-being, and you receive something in return. Everybody wins. This book is an instruction guide to follow step by step and achieve a correct and perfect application of eyelash extensions following the three standard techniques. In the end, you will have everything you need to boost your professional career with one of the most requested skills in the cosmetic market. The Eyelash Extensions.



Advanced Algebra


Advanced Algebra
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Author : Anthony W. Knapp
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-11

Advanced Algebra written by Anthony W. Knapp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-11 with Mathematics categories.


Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.



Generative And Transformational Techniques In Software Engineering Ii


Generative And Transformational Techniques In Software Engineering Ii
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Author : Ralf Lämmel
language : en
Publisher: Springer
Release Date : 2008-10-08

Generative And Transformational Techniques In Software Engineering Ii written by Ralf Lämmel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-08 with Computers categories.


The second instance of the international summer school on Generative and Transformational Techniques in Software Engineering (GTTSE 2007) was held in Braga, Portugal, during July 2–7, 2007. This volume contains an augmented selection of the material presented at the school, including full tutorials, short tutorials, and contributions to the participants workshop. The GTTSE summer school series brings together PhD students, lecturers, technology presenters, as well as other researchers and practitioners who are interested in the generation and the transformation of programs, data, models, metamodels, documentation, and entire software systems. This concerns many areas of software engineering: software reverse and re-engineering, model-driven engineering, automated software engineering, generic language technology, to name a few. These areas di?er with regard to the speci?c sorts of metamodels (or grammars, schemas, formats etc.) that underlie the involved artifacts, and with regard to the speci?c techniques that are employed for the generation and the transformation of the artifacts. The ?rst instance of the school was held in 2005 and its proceedings appeared as volume 4143 in the LNCS series.



The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition


The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition
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Author : Linda Dalrymple Henderson
language : en
Publisher: MIT Press
Release Date : 2018-05-18

The Fourth Dimension And Non Euclidean Geometry In Modern Art Revised Edition written by Linda Dalrymple Henderson and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-18 with Art categories.


The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.



Advances In Algebraic Quantum Field Theory


Advances In Algebraic Quantum Field Theory
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Author : Romeo Brunetti
language : en
Publisher: Springer
Release Date : 2015-09-04

Advances In Algebraic Quantum Field Theory written by Romeo Brunetti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-04 with Science categories.


This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.



Developments In Language Theory


Developments In Language Theory
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Author : Srečko Brlek
language : en
Publisher: Springer
Release Date : 2016-07-20

Developments In Language Theory written by Srečko Brlek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Computers categories.


This book constitutes the proceedings of the 20th International Conference on Developments in Language Theory, DLT 2016, held in Montreal, QC, Canada, in July 2016. The 32 full papers and 4 abstracts of invited papers presented were carefully reviewed and selected from 48 submissions. This volume presents current developments in formal languages and automata, especially from the following topics and areas: combinatorial and algebraic properties of words and languages; grammars, acceptors and transducers for strings, trees, graphs, arrays; algebraic theories for automata and languages; codes; efficient text algorithms; symbolic dynamics; decision problems; relationships to complexity theory and logic; picture description and analysis; polyominoes and bidimentional patterns; cryptography; concurrency; cellular automata; bio-inspried computing; quantum computing.



Measuring Shape


Measuring Shape
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Author : F. Brent Neal
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Measuring Shape written by F. Brent Neal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Computers categories.


"John Russ is the master of explaining how image processing gets applied to real-world situations. With Brent Neal, he’s done it again in Measuring Shape, this time explaining an expanded toolbox of techniques that includes useful, state-of-the-art methods that can be applied to the broad problem of understanding, characterizing, and measuring shape. He has a gift for finding the kernel of a particular algorithm, explaining it in simple terms, then giving concrete examples that are easily understood. His perspective comes from solving real-world problems and separating out what works in practice from what is just an abstract curiosity." —Tom Malzbender, Hewlett-Packard Laboratories, Palo Alto, California, USA Useful for those working in fields including industrial quality control, research, and security applications, Measuring Shape is a handbook for the practical application of shape measurement. Covering a wide range of shape measurements likely to be encountered in the literature and in software packages, this book presents an intentionally diverse set of examples that illustrate and enable readers to compare methods used for measurement and quantitative description of 2D and 3D shapes. It stands apart through its focus on examples and applications, which help readers quickly grasp the usefulness of presented techniques without having to approach them through the underlying mathematics. An elusive concept, shape is a principal governing factor in determining the behavior of objects and structures. Essential to recognizing and classifying objects, it is the central link in manmade and natural processes. Shape dictates everything from the stiffness of a construction beam, to the ability of a leaf to catch water, to the marketing and packaging of consumer products. This book emphasizes techniques that are quantitative and produce a meaningful yet compact set of numerical values that can be used for statistical analysis, comparison, correlation, classification, and identification. Written by two renowned authors from both industry and academia, this resource explains why users should select a particular method, rather than simply discussing how to use it. Showcasing each process in a clear, accessible, and well-organized way, they explore why a particular one might be appropriate in a given situation, yet a poor choice in another. Providing extensive examples, plus full mathematical descriptions of the various measurements involved, they detail the advantages and limitations of each method and explain the ways they can be implemented to discover important correlations between shape and object history or behavior. This uncommon assembly of information also includes sets of data on real-world objects that are used to compare the performance and utility of the various presented approaches.



Gorenstein Dimensions


Gorenstein Dimensions
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Author : Lars W. Christensen
language : en
Publisher: Springer
Release Date : 2007-05-06

Gorenstein Dimensions written by Lars W. Christensen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.


This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book's content. Readers should be well-versed in commutative algebra and standard applications of homological methods. The framework is that of complexes, but all major results are restated for modules in traditional notation, and an appendix makes the proofs accessible for even the casual user of hyperhomological methods.