Random Packing And Random Covering Sequences
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Random Packing And Random Covering Sequences
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Author : Stanford University. Department of Statistics
language : en
Publisher:
Release Date : 1987
Random Packing And Random Covering Sequences written by Stanford University. Department of Statistics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
In a sequential packing problem, random objects are uniformly and independently selected from some space. A selected object is either packed or rejected, depending on the distance between it and the nearest object which has been previously packed. A saturated packing is said to exist when it is no longer possible to pack any additional selections. The random packing density is the average proportion of the space which is occupied by the packed objects at saturation. Results concerning the time of the first rejection in a packing sequence are given in Chapter 1. The accuracy of some common approximation formulas is investigated for several settings. The problems considered may be thought of as generalizations of the classical birthday problem. Exact results concerning random packing densities are generally known only for some packing sequences in one-dimensional spaces. In Chapter 2, the packing densities of various computer generated codes are examined. These stochastically constructed codes provide a convenient way to study packing in multidimensional spaces. Asymptotic approximation formulas are given for the packing densities which arise from several different coding schemes. In Chapter 3 the distribution of the number of random selections needed to achieve a saturated packing is considered. In each of the settings examined, the results are compared with analogous results from an associated random covering problem.
Technical Reports Awareness Circular Trac
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Author :
language : en
Publisher:
Release Date : 1988-08
Technical Reports Awareness Circular Trac written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-08 with Science categories.
Recent Developments In Fractals And Related Fields
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Author : Julien Barral
language : en
Publisher: Birkhäuser
Release Date : 2017-08-23
Recent Developments In Fractals And Related Fields written by Julien Barral and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-23 with Mathematics categories.
This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications. It is an outgrowth of the Conference of Fractals and Related Fields III, that was held on September 19-25, 2015 in île de Porquerolles, France. Chapters cover fields related to fractals such as harmonic analysis, multifractal analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, wavelets, potential theory, partial differential equations, fractal tilings, combinatorics, and signal and image processing. The book is aimed at pure and applied mathematicians in these areas, as well as other researchers interested in discovering the fractal domain.
Bandit Algorithms
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Author : Tor Lattimore
language : en
Publisher: Cambridge University Press
Release Date : 2020-07-16
Bandit Algorithms written by Tor Lattimore 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 2020-07-16 with Business & Economics categories.
A comprehensive and rigorous introduction for graduate students and researchers, with applications in sequential decision-making problems.
Random Sequential Packing Of Cubes
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Author : Mathieu Dutour Sikiri?
language : en
Publisher: World Scientific
Release Date : 2011
Random Sequential Packing Of Cubes written by Mathieu Dutour Sikiri? and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings.
Government Reports Announcements Index
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Author :
language : en
Publisher:
Release Date : 1988-10
Government Reports Announcements Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-10 with Science categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1982-10
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-10 with Aeronautics categories.
Adventures Between Lower Bounds And Higher Altitudes
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Author : Hans-Joachim Böckenhauer
language : en
Publisher: Springer
Release Date : 2018-09-04
Adventures Between Lower Bounds And Higher Altitudes written by Hans-Joachim Böckenhauer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-04 with Computers categories.
This Festschrift volume is published in honor of Juraj Hromkovič on the occasion of his 60th birthday. Juraj Hromkovič is a leading expert in the areas of automata and complexity theory, algorithms for hard problems, and computer science education. The contributions in this volume reflect the breadth and impact of his work. The volume contains 35 full papers related to Juraj Hromkovič’s research. They deal with various aspects of the complexity of finite automata, the information content of online problems, stability of approximation algorithms, reoptimization algorithms, computer science education, and many other topics within the fields of algorithmics and complexity theory. Moreover, the volume contains a prologue and an epilogue of laudatios from several collaborators, colleagues, and friends.
Bulletin Institute Of Mathematical Statistics
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Author : Institute of Mathematical Statistics
language : en
Publisher:
Release Date : 1996
Bulletin Institute Of Mathematical Statistics written by Institute of Mathematical Statistics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematical statistics categories.
Network Information Theory
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Author : Abbas El Gamal
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-08
Network Information Theory written by Abbas El Gamal 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 2011-12-08 with Technology & Engineering categories.
This comprehensive treatment of network information theory and its applications provides the first unified coverage of both classical and recent results. With an approach that balances the introduction of new models and new coding techniques, readers are guided through Shannon's point-to-point information theory, single-hop networks, multihop networks, and extensions to distributed computing, secrecy, wireless communication, and networking. Elementary mathematical tools and techniques are used throughout, requiring only basic knowledge of probability, whilst unified proofs of coding theorems are based on a few simple lemmas, making the text accessible to newcomers. Key topics covered include successive cancellation and superposition coding, MIMO wireless communication, network coding, and cooperative relaying. Also covered are feedback and interactive communication, capacity approximations and scaling laws, and asynchronous and random access channels. This book is ideal for use in the classroom, for self-study, and as a reference for researchers and engineers in industry and academia.