Experiments In Topology

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Experiments In Topology

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Author : Stephen Barr
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01

Experiments In Topology written by Stephen Barr and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.

"A mathematician named Klein Thought the Moebius band was divine. Said he: 'If you glue The edges of two, You'll get a weird bottle like mine.' " — Stephen Barr In this lively book, the classic in its field, a master of recreational topology invites readers to venture into such tantalizing topological realms as continuity and connectedness via the Klein bottle and the Moebius strip. Beginning with a definition of topology and a discussion of Euler's theorem, Mr. Barr brings wit and clarity to these topics: New Surfaces (Orientability, Dimension, The Klein Bottle, etc.) The Shortest Moebius Strip The Conical Moebius Strip The Klein Bottle The Projective Plane (Symmetry) Map Coloring Networks (Koenigsberg Bridges, Betti Numbers, Knots) The Trial of the Punctured Torus Continuity and Discreteness ("Next Number," Continuity, Neighborhoods, Limit Points) Sets (Valid or Merely True? Venn Diagrams, Open and Closed Sets, Transformations, Mapping, Homotopy) With this book and a square sheet of paper, the reader can make paper Klein bottles, step by step; then, by intersecting or cutting the bottle, make Moebius strips. Conical Moebius strips, projective planes, the principle of map coloring, the classic problem of the Koenigsberg bridges, and many more aspects of topology are carefully and concisely illuminated by the author's informal and entertaining approach. Now in this inexpensive paperback edition, Experiments in Topology belongs in the library of any math enthusiast with a taste for brainteasing adventures

Experiments In Topology

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Author : Stephen Barr (matematik.)
language : en
Publisher:
Release Date : 1965

Experiments In Topology written by Stephen Barr (matematik.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.

Comparison Of Statistical Experiments

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Author : Erik Torgersen
language : en
Publisher: Cambridge University Press
Release Date : 1991-03-14

Comparison Of Statistical Experiments written by Erik Torgersen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-14 with Business & Economics categories.

There are a number of important questions associated with statistical experiments: when does one given experiment yield more information than another; how can we measure the difference in information; how fast does information accumulate by repeating the experiment? The means of answering such questions has emerged from the work of Wald, Blackwell, LeCam and others and is based on the ideas of risk and deficiency. The present work which is devoted to the various methods of comparing statistical experiments, is essentially self-contained, requiring only some background in measure theory and functional analysis. Chapters introducing statistical experiments and the necessary convex analysis begin the book and are followed by others on game theory, decision theory and vector lattices. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomisation, distance, ordering, equivalence, completeness and convergence are explored. This is a comprehensive treatment of the subject and will be an essential reference for mathematical statisticians.

Topology Control In Wireless Sensor Networks

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Author : Miguel A. Labrador
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-27

Topology Control In Wireless Sensor Networks written by Miguel A. Labrador 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 2009-02-27 with Technology & Engineering categories.

The eld of wireless sensor networks continues to evolve and grow in both practical and research domains. More and more wireless sensor networks are being used to gather information in real life applications. It is common to see how this technology is being applied in irrigation systems, intelligent buildings, bridges, security mec- nisms,militaryoperations,transportation-relatedapplications,etc.Atthesametime, new developments in hardware, software, and communication technologies are - panding these possibilities. As in any other technology, research brings new dev- opments and re nements and continuous improvements of current approaches that push the technology even further. Looking toward the future, the technology seems even more promising in two directions. First, a few years from now more powerful wireless sensor devices will be available, and wireless sensor networks will have applicability in an endless number of scenarios, as they will be able to handle traf c loads not possible today, make more computations, store more data, and live longer because of better energy sources. Second,a few years from now, the opposite scenario might also be possible. The availability of very constrained, nanotechnology-made wireless sensor devices will bring a whole new world of applications, as they will be able to operate in - vironments and places unimaginable today. These two scenarios, at the same time, will both bring new research challenges that are always welcome to researchers.

Topological Phases Of Matter

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Author : Roderich Moessner
language : en
Publisher: Cambridge University Press
Release Date : 2021-04-29

Topological Phases Of Matter written by Roderich Moessner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-29 with Mathematics categories.

This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

Medial Measures For Recognition Mapping And Categorization

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Author : Morteza Rezanejad
language : en
Publisher: McGill University
Release Date :

Medial Measures For Recognition Mapping And Categorization written by Morteza Rezanejad and has been published by McGill University this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.

Visual shape analysis plays a fundamental role in perception by man and by computer, allowing for inferences about properties of objects and scenes in the physical world. Mathematical approaches to describing visual form can benefit from the use of representations that simultaneously capture properties of an object's outline as well as its interior. Motivated by the success of medial models, this doctoral thesis revisits a quantity related to medial axis computations, the average outward flux of the gradient of the Euclidean distance function from a boundary, and then addresses three distinct problems using this measure. First, I consider the problem of view sphere partitioning for view-based object recognition from sparse views. View-based 3D object recognition requires a selection of model object views against which to match a query view. Ideally, for this to be computationally efficient, such a selection should be sparse. To address this problem, I introduce a novel hierarchical partitioning of the view sphere into regions within which the silhouette of a model object is qualitatively unchanged. To achieve this, I propose a part-based abstraction of a skeleton, as a graph, dubbed the Flux Graph, which allows for views to be grouped. Next, I consider the problem of mapping an initially-unknown 2D environment from possibly noisy sensed samples via an on-line procedure which robustly computes a retraction of its boundaries to obtain a topological representation. Here I motto an algorithm that allows for online map construction with loop closure. I demonstrate that the proposed method allows the robot to localize itself on a partially constructed map to calculate a path to unexplored parts of the environment (frontiers), to compute a robust terminating condition when the robot has fully explored the environment, and finally to achieve loop closure detection. I also show that the resulting map is stable under disturbances to the sensed boundary, and to variations in starting locations for exploration. Finally, I consider the problem of scene categorization from complex line drawings. In the context of human vision, we show that local ribbon symmetry between neighboring pairs of contours facilitates the categorization of complex real-world environments by human observers. In the context of computer vision, I demonstrate a high level of performance in the problem of convolutional neural network-based recognition of natural scenes from line drawings, even in the absence of color, texture and shading information.

Testbeds And Research Infrastructure Development Of Networks And Communities

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Author : Thanasis Korakis
language : en
Publisher: Springer
Release Date : 2012-11-28

Testbeds And Research Infrastructure Development Of Networks And Communities written by Thanasis Korakis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-28 with Computers categories.

This book constitutes the proceedings of the 8th International ICST Conference, TridentCom 2012, held in Thessanoliki, Greece, in June 2012. Out of numerous submissions the Program Committee finally selected 51 full papers. These papers cover topics such as future Internet testbeds, wireless testbeds, federated and large scale testbeds, network and resource virtualization, overlay network testbeds, management provisioning and tools for networking research, and experimentally driven research and user experience evaluation.

Performability In Internet Of Things

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Author : Fadi Al-Turjman
language : en
Publisher: Springer
Release Date : 2018-08-22

Performability In Internet Of Things written by Fadi Al-Turjman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-22 with Technology & Engineering categories.

This book discusses the challenges in the convergence of technologies as the Internet of Things (IoT) evolves. These include sensing, computing, information processing, networking, and controlling intelligent technologies. The contributors first provide a survey of various assessment and evaluation approaches available for successful convergence. They then go on to cover several operational ideas to apply. The contributors then discuss the challenges involved bridging gaps in computation and the communication process, hidden networks, intelligent decision making, human-to-machine perception and large-scale IoT environments. The contributors aim to provide the reader an overview of trends in IoT in terms of performability and traffic modeling and efforts that can be spent in assessing the graceful degradation in IoT paradigms. Provides a survey of IoT assessment and evaluation approaches; Covers new and innovative operational ideas that apply to the IoT industry and the industries it affects; Includes chapters from researchers and industry leaders in IoT from around the world.

Artificial Evolution

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Author : Pierre Collet
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-06

Artificial Evolution written by Pierre Collet 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 2010-07-06 with Computers categories.

The LNCS series reports state-of-the-art results in computer science reserch, development, and education, at a high level and in both printed and electronic form. Enjoying light cooperation with the R&D community, with numerous individuals, as well as with prestigious organizations and societies, LNCS has grown into the most comprehensive computer science research forum available. The scope of LNCS, including its subseries LNAI and LNBI, spans the whole range of computer science and information technology including interdisciplinary topics in a variety of application fields. In parallel to the printed book, each new volume is published electronically in LNCS Online.

Artificial Neural Networks And Machine Learning Icann 2019 Workshop And Special Sessions

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Author : Igor V. Tetko
language : en
Publisher: Springer Nature
Release Date : 2019-09-10

Artificial Neural Networks And Machine Learning Icann 2019 Workshop And Special Sessions written by Igor V. Tetko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-10 with Computers categories.

The proceedings set LNCS 11727, 11728, 11729, 11730, and 11731 constitute the proceedings of the 28th International Conference on Artificial Neural Networks, ICANN 2019, held in Munich, Germany, in September 2019. The total of 277 full papers and 43 short papers presented in these proceedings was carefully reviewed and selected from 494 submissions. They were organized in 5 volumes focusing on theoretical neural computation; deep learning; image processing; text and time series; and workshop and special sessions.