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|a Beneš, V. E.
|q (Václav E.)
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|a Mathematical theory of connecting networks and telephone traffic /
|c V.E. Beneš.
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|a New York :
|b Academic Press,
|c 1965.
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|a 1 online resource (xiv, 319 pages) :
|b illustrations
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|a text
|b txt
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|a computer
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|2 rdamedia
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|a Mathematics in science and engineering ;
|v v. 17
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|a Includes bibliographical references and indexes.
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|a Print version record.
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|3 Use copy
|f Restrictions unspecified
|2 star
|5 MiAaHDL
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|a Mathematical theory of connecting networks and telephone traffic.
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|a Electronic reproduction.
|b [Place of publication not identified] :
|c HathiTrust Digital Library,
|d 2010.
|5 MiAaHDL
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
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|a digitized
|c 2010
|h HathiTrust Digital Library
|l committed to preserve
|2 pda
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|a Front Cover; Mathematical Theory of Connecting Networks and Telephone Traffic; Copyright Page; Contents; Preface; Chapter 1. Heuristic Remarks and Mathematical Problems Regarding the Theory of Connecting Systems; 1. Introduction; 2. Summary of Chapter 1; 3. Historical Sketch; 4. Critique; 5. General Properties of Connecting Systems; 6. Performance of Switching Systems; 7. Desiderata; 8. Mathematical Models; 9. Fundamental Difficulties and Questions; 10. The Merits of Microscopic States; 11. From Details to Structure; 12. The Relevance of Combinatorial and Structural Properties: Examples.
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|a 13. Combinatorial, Probabilistic, and Variational Problems14. A Packing Problem; 15. A Problem of Traffic Circulation in a Telephone Exchange; 16. An Optimal Routing Problem; References; Chapter 2. Algebraic and Topological Properties of Connecting Networks; 1. Introduction; 2. Summary of Chapter 2; 3. The Structure and Condition of a Connecting Network; 4. Graphical Depiction of Network Structure and Condition; 5. Network States; 6. The State Diagram; 7. Some Numerical Functions; 8. Assignments; 9. Three Topologies; 10. Some Definitions and Problems; 11. Rearrangeable Networks.
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|a 12. Networks Nonblocking in the Wide Sense13. Networks Nonblocking in the Strict Sense; 14. Glossary for Chapter 2; References; Chapter 3. Rearrangeable Networks; 1. Introduction; 2. Summary of Chapter 3; 3. The Slepian-Duguid Theorem; 4. The Number of Calls That Must Be Moved: Paull's Theorem; 5. Some Formal Preliminaries; 6. The Number of Calls That Must Be Moved: New Results; 7. Summary of Sections 8-15; 8. Stages and Link Patterns; 9. Group Theory Formulation; 10. The Generation of Complexes by Stages; 11. An Example; 12. Some Definitions; 13. Preliminary Results.
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|a 14. Generating the Permutation Group15. Construction of a Class of Rearrangeable Networks; 16. Summary of Sections 17-21; 17. The Combinatorial Power of a Network; 18. Preliminaries; 19. Construction of the Basic Partial Ordering; 20. Cost Is Nearly Isotone on T(Cn); 21. Principal Results of Optimization; References; Chapter 4. Strictly Nonblocking Networks; 1. Introduction; 2. Square Array; 3. Three-Stage Strictly Nonblocking Connecting Network; 4. Principle Involved; 5. Five-Stage Network; 6. Seven-Stage Network; 7. General Multistage Switching Network.
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|a 8. Most Favorable Size of Input and Output Switches in the Three-Stage Network9. Most Favorable Switch Sizes in the Five-Stage Network; 10. Search for the Smallest N for a Given n for the Three-Stage Network; 11. Cases in the Three-Stage Network Where N = r(mod n); 12. Search for the Minimum Number of Crosspoints between N = 23 and N = 160; 13. Search for the Minimum Number of Crosspoints for N = 240; 14. Rectangular Array; 15. N Inputs and M Outputs in the Three-Stage Array; 16. Triangular Network; 17. One-way Incoming, One-way Outgoing, and Two-way Trunks.
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Telephone, Automatic.
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|a Queuing theory.
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|a Communication
|v Statistics.
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|a Electric networks.
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|a Communication
|x Statistiques.
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|a Téléphone
|x Lignes.
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|a Réseaux électriques (Circuits)
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|a Téléphone automatique.
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|a Théorie des files d'attente.
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|a TECHNOLOGY & ENGINEERING
|x Telecommunications.
|2 bisacsh
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|2 fast
|0 (OCoLC)fst00905339
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|a Communication.
|2 fast
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|a Queuing theory.
|2 fast
|0 (OCoLC)fst01085713
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|a Telephone, Automatic.
|2 fast
|0 (OCoLC)fst01146475
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|a Statistics.
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|i Print version :
|a Beneš, V.E. (Václav E.).
|t Mathematical theory of connecting networks and telephone traffic.
|d New York : Academic Press, 1965
|z 9780120875504
|w (DLC) 65021156
|w (OCoLC)1650896
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830 |
|
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|a Mathematics in science and engineering ;
|v v. 17.
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