Interference Calculus

Interference Calculus

Author: Martin Schubert

Publisher: Springer Science & Business Media

Published: 2011-11-20

Total Pages: 246

ISBN-13: 3642246214

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This book develops a mathematical framework for modeling and optimizing interference-coupled multiuser systems. At the core of this framework is the concept of general interference functions, which provides a simple means of characterizing interdependencies between users. The entire analysis builds on the two core axioms scale-invariance and monotonicity. The proposed network calculus has its roots in power control theory and wireless communications. It adds theoretical tools for analyzing the typical behavior of interference-coupled networks. In this way it complements existing game-theoretic approaches. The framework should also be viewed in conjunction with optimization theory. There is a fruitful interplay between the theory of interference functions and convex optimization theory. By jointly exploiting the properties of interference functions, it is possible to design algorithms that outperform general-purpose techniques that only exploit convexity. The title “network calculus” refers to the fact that the theory of interference functions constitutes a generic theoretical framework for the analysis of interference coupled systems. Certain operations within the framework are “closed”, that is, combinations of interference functions are interference functions again. Also, certain properties are preserved under such operations. This, provides a methodology for analyzing different multiuser performance measures that can be expressed as interference functions or combinations of interference functions.


University Physics

University Physics

Author: OpenStax

Publisher:

Published: 2016-11-04

Total Pages: 622

ISBN-13: 9781680920451

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University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.


The Pi-Calculus

The Pi-Calculus

Author: Davide Sangiorgi

Publisher: Cambridge University Press

Published: 2003-10-16

Total Pages: 600

ISBN-13: 9780521543279

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Graduate text on the p-calculus, a mathematical model of mobile computing systems.


Domain Modeling and the Duration Calculus

Domain Modeling and the Duration Calculus

Author: Chris George

Publisher: Springer

Published: 2007-08-29

Total Pages: 246

ISBN-13: 3540749640

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This book presents thoroughly revised tutorial papers based on lectures given by leading researchers at the International Training School on Domain Modeling and the Duration Calculus, held in Shanghai, China, as an associated event of ICTAC 2007. Topics addressed in detail are: development of real-time systems, domain engineering using abstract modeling, the area of duration calculus, and formal methods like language description using the operational semantics approach.


Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition

Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition

Author:

Publisher: ScholarlyEditions

Published: 2013-05-01

Total Pages: 741

ISBN-13: 1490108807

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Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Mathematical Analysis. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Analysis in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.


Computational and Information Science

Computational and Information Science

Author: Jun Zhang

Publisher: Springer

Published: 2005-01-18

Total Pages: 1282

ISBN-13: 3540304975

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The 2004 International Symposium on Computational and Information Sciences (CIS 2004) aimed at bringing researchers in the area of computational and - formation sciences together to exchange new ideas and to explore new ground. The goal of the conference was to push the application of modern computing technologies to science, engineering, and information technologies to a new level of sophistication and understanding. Theinitialideatoorganizesuchaconferencewithafocusoncomputationand applicationswasoriginatedbyDr.JunZhang,duringhisvisittoChinainAugust 2003, in consultation with a few friends, including Dr. Jing Liu at the Chinese Academy of Sciences, Dr. Jun-Hai Yong at Tsinghua University, Dr. Geng Yang at Nanjing University of Posts and Communications, and a few others. After severaldiscussionswithDr.Ji-HuanHe,itwasdecidedthatDonghuaUniversity would host CIS 2004. CIS 2004 attempted to distinguish itself from other conferences in its - phasis on participation rather than publication. A submitted paper was only reviewed with the explicit understanding that, if accepted, at least one of the authors would attend and present the paper at the conference. It is our - lief that attending conferences is an important part of one’s academic career, through which academic networks can be built that may bene?t one’s academic life in the long run. We also made every e?ort to support graduate students in attending CIS 2004. In addition to set reduced registration fees for full-time graduate students, we awarded up to three prizes for to the Best Student Papers at CIS 2004. Students whose papers were selected for awards were given cash prizes, plus a waiver of registration fees.


Calculus

Calculus

Author: Gilbert Strang

Publisher: SIAM

Published: 1991-01-01

Total Pages: 708

ISBN-13: 9780961408824

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contient des exercices.


Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition

Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition

Author:

Publisher: ScholarlyEditions

Published: 2012-01-09

Total Pages: 1136

ISBN-13: 1464965307

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Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Calculus, Mathematical Analysis, and Nonlinear Research. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Calculus, Mathematical Analysis, and Nonlinear Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.


Functional Analysis and the Feynman Operator Calculus

Functional Analysis and the Feynman Operator Calculus

Author: Tepper Gill

Publisher: Springer

Published: 2016-03-30

Total Pages: 370

ISBN-13: 331927595X

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This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.


Calculus

Calculus

Author: School Mathematics Study Group

Publisher:

Published: 1965

Total Pages: 1070

ISBN-13:

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