Mathematical Technology Of Networks

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Mathematical Foundations Of Computer Networking

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Author : Srinivasan Keshav
language : en
Publisher: Addison-Wesley
Release Date : 2012-04-20

Mathematical Foundations Of Computer Networking written by Srinivasan Keshav and has been published by Addison-Wesley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Computers categories.

“To design future networks that are worthy of society’s trust, we must put the ‘discipline’ of computer networking on a much stronger foundation. This book rises above the considerable minutiae of today’s networking technologies to emphasize the long-standing mathematical underpinnings of the field.” –Professor Jennifer Rexford, Department of Computer Science, Princeton University “This book is exactly the one I have been waiting for the last couple of years. Recently, I decided most students were already very familiar with the way the net works but were not being taught the fundamentals–the math. This book contains the knowledge for people who will create and understand future communications systems." –Professor Jon Crowcroft, The Computer Laboratory, University of Cambridge The Essential Mathematical Principles Required to Design, Implement, or Evaluate Advanced Computer Networks Students, researchers, and professionals in computer networking require a firm conceptual understanding of its foundations. Mathematical Foundations of Computer Networking provides an intuitive yet rigorous introduction to these essential mathematical principles and techniques. Assuming a basic grasp of calculus, this book offers sufficient detail to serve as the only reference many readers will need. Each concept is described in four ways: intuitively; using appropriate mathematical notation; with a numerical example carefully chosen for its relevance to networking; and with a numerical exercise for the reader. The first part of the text presents basic concepts, and the second part introduces four theories in a progression that has been designed to gradually deepen readers’ understanding. Within each part, chapters are as self-contained as possible. The first part covers probability; statistics; linear algebra; optimization; and signals, systems, and transforms. Topics range from Bayesian networks to hypothesis testing, and eigenvalue computation to Fourier transforms. These preliminary chapters establish a basis for the four theories covered in the second part of the book: queueing theory, game theory, control theory, and information theory. The second part also demonstrates how mathematical concepts can be applied to issues such as contention for limited resources, and the optimization of network responsiveness, stability, and throughput.

Mathematical Theory Of Connecting Networks And Telephone Traffic

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Author : Václav E. Beneš
language : en
Publisher:
Release Date : 1965

Mathematical Theory Of Connecting Networks And Telephone Traffic written by Václav E. Beneš and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Technology & Engineering categories.

Mathematical theory of connecting networks and telephone traffic

Deep Neural Networks In A Mathematical Framework

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Author : Anthony L. Caterini
language : en
Publisher: Springer
Release Date : 2018-03-22

Deep Neural Networks In A Mathematical Framework written by Anthony L. Caterini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-22 with Computers categories.

This SpringerBrief describes how to build a rigorous end-to-end mathematical framework for deep neural networks. The authors provide tools to represent and describe neural networks, casting previous results in the field in a more natural light. In particular, the authors derive gradient descent algorithms in a unified way for several neural network structures, including multilayer perceptrons, convolutional neural networks, deep autoencoders and recurrent neural networks. Furthermore, the authors developed framework is both more concise and mathematically intuitive than previous representations of neural networks. This SpringerBrief is one step towards unlocking the black box of Deep Learning. The authors believe that this framework will help catalyze further discoveries regarding the mathematical properties of neural networks.This SpringerBrief is accessible not only to researchers, professionals and students working and studying in the field of deep learning, but also to those outside of the neutral network community.

Mathematical Modeling And Supercomputer Technologies

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Author : Dmitry Balandin
language : en
Publisher: Springer Nature
Release Date : 2021-06-23

Mathematical Modeling And Supercomputer Technologies written by Dmitry Balandin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Computers categories.

This book constitutes selected and revised papers from the 20th International Conference on Mathematical Modeling and Supercomputer Technologies, MMST 2020, held in Nizhny Novgorod, Russia, in November 2020. Due to the COVID-19 pandemic the conference was held online. The 25 full papers and 8 short papers presented in the volume were thoroughly reviewed and selected from the 106 submissions. They are organized in topical secions on ​computational methods for mathematical models analysis; computation in optimization and optimal control; supercomputer simulation.

Discrete Mathematics Of Neural Networks

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Author : Martin Anthony
language : en
Publisher: SIAM
Release Date : 2001-01-01

Discrete Mathematics Of Neural Networks written by Martin Anthony and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Computers categories.

This concise, readable book provides a sampling of the very large, active, and expanding field of artificial neural network theory. It considers select areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial neural networks. Neural networks have emerged as a key technology in many fields of application, and an understanding of the theories concerning what such systems can and cannot do is essential. Some classical results are presented with accessible proofs, together with some more recent perspectives, such as those obtained by considering decision lists. In addition, probabilistic models of neural network learning are discussed. Graph theory, some partially ordered set theory, computational complexity, and discrete probability are among the mathematical topics involved. Pointers to further reading and an extensive bibliography make this book a good starting point for research in discrete mathematics and neural networks.

Blockchain And Distributed Ledgers Mathematics Technology And Economics

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Author : Alexander Lipton
language : en
Publisher: World Scientific
Release Date : 2021-08-06

Blockchain And Distributed Ledgers Mathematics Technology And Economics written by Alexander Lipton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-06 with Business & Economics categories.

This textbook focuses on distributed ledger technology (DLT) and its potential impact on society at large. It aims to offer a detailed and self-contained introduction to the founding principles behind DLT accessible to a well-educated but not necessarily mathematically oriented audience. DLT allows solving many complicated problems arising in economics, banking, and finance, industry, trade, and other fields. However, to reap the ultimate benefits, one has to overcome some of its inherent limitations and use it judiciously. Not surprisingly, amid increasing applications of DLT, misconceptions are formed over its use. The book thoroughly dispels these misconceptions via an impartial assessment of the arguments rooted in scientific reasoning.Blockchain and Distributed Ledgers: Mathematics, Technology, and Economics offers a detailed and self-contained introduction to DLT, blockchains, and cryptocurrencies and seeks to equip the reader with an ability to participate in the crypto economy meaningfully.

Network Optimization Problems Algorithms Applications And Complexity

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Author : Ding-zhu Du
language : en
Publisher: World Scientific
Release Date : 1993-04-27

Network Optimization Problems Algorithms Applications And Complexity written by Ding-zhu Du and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-27 with categories.

In the past few decades, there has been a large amount of work on algorithms for linear network flow problems, special classes of network problems such as assignment problems (linear and quadratic), Steiner tree problem, topology network design and nonconvex cost network flow problems.Network optimization problems find numerous applications in transportation, in communication network design, in production and inventory planning, in facilities location and allocation, and in VLSI design.The purpose of this book is to cover a spectrum of recent developments in network optimization problems, from linear networks to general nonconvex network flow problems./a

Mathematics Education And Technology Rethinking The Terrain

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Author : Celia Hoyles
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-09

Mathematics Education And Technology Rethinking The Terrain written by Celia Hoyles 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 2009-10-09 with Education categories.

Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence. Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.

Network Algebra

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Author : Gheorghe Stefanescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-12

Network Algebra written by Gheorghe Stefanescu 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 2000-04-12 with Computers categories.

Network algebra considers the algebraic study of networks and their behavior. It approaches the models in a sharp and simple manner. This book takes an integrated view of a broad range of applications, varying from concrete hardware-oriented models to high-level software-oriented models.

Information Technology And The Computer Network

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Author : K. G. Beauchamp
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Information Technology And The Computer Network written by K. G. Beauchamp 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 2012-12-06 with Computers categories.

1.1 Scope This paper deals with the following subjects: 1. Introduction 2. Feasibility study definition in IT 3. Forming a feasibility study team 4. The feasibility study work 5. The feasibility study report 6. Discussion 1.2 Information Technology (IT) Information was defined as anything sensed by at least one of the human senses and that may change the level of his knowledge. The information may be true or false, sent by premeditation or generated by coincidence, needed by the interceptor or intended to create new needs. The creation of the information may be very costly or free of charge. The information may be an essential need or just a luxury. Each information may be a one shot nature, eg., announcing a marriage, or a constant update need one, eg., news. Information technology as defined herein means all the types of systems needed to deal wi.th the information, transfer it to any place, store it, adapt it, etc. Information technology is usually bused on Telecommunications. Telecommunications means a large variety of possibilities. Usually, the IT's are based on the creation, updating, processing and transmission of information. The information itself is usually alphanumeric and graphic. Gradually, there is a tendency to step over to what is seen as more natural information, audio and visual.