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Ajouter au panierTaschenbuch. Etat : Neu. Pristine Transfinite Graphs and Permissive Electrical Networks | Armen H. Zemanian | Taschenbuch | xi | Englisch | 2012 | Birkhäuser | EAN 9781461266419 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Ajouter au panierTaschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - A transfinite graph or electrical network of the first rank is obtained conceptually by connecting conventionally infinite graphs and networks together at their infinite extremities. This process can be repeated to obtain a hierarchy of transfiniteness whose ranks increase through the countable ordinals. This idea, which is of recent origin, has enriched the theories of graphs and networks with radically new constructs and research problems. The book provides a more accessible introduction to the subject that, though sacrificing some generality, captures the essential ideas of transfiniteness for graphs and networks. Thus, for example, some results concerning discrete potentials and random walks on transfinite networks can now be presented more concisely. Conversely, the simplifications enable the development of many new results that were previously unavailable. Topics and features: \*A simplified exposition provides an introduction to transfiniteness for graphs and networks.\*Various results for conventional graphs are extended transfinitely. \*Minty's powerful analysis of monotone electrical networks is also extended transfinitely.\*Maximum principles for node voltages in linear transfinite networks are established. \*A concise treatment of random walks on transfinite networks is developed. \*Conventional theory is expanded with radically new constructs. Mathematicians, operations researchers and electrical engineers, in particular, graph theorists, electrical circuit theorists, and probabalists will find an accessible exposition of an advanced subject.
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Ajouter au panierBuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - A transfinite graph or electrical network of the first rank is obtained conceptually by connecting conventionally infinite graphs and networks together at their infinite extremities. This process can be repeated to obtain a hierarchy of transfiniteness whose ranks increase through the countable ordinals. This idea, which is of recent origin, has enriched the theories of graphs and networks with radically new constructs and research problems. The book provides a more accessible introduction to the subject that, though sacrificing some generality, captures the essential ideas of transfiniteness for graphs and networks. Thus, for example, some results concerning discrete potentials and random walks on transfinite networks can now be presented more concisely. Conversely, the simplifications enable the development of many new results that were previously unavailable. Topics and features: \*A simplified exposition provides an introduction to transfiniteness for graphs and networks.\*Various results for conventional graphs are extended transfinitely. \*Minty's powerful analysis of monotone electrical networks is also extended transfinitely.\*Maximum principles for node voltages in linear transfinite networks are established. \*A concise treatment of random walks on transfinite networks is developed. \*Conventional theory is expanded with radically new constructs. Mathematicians, operations researchers and electrical engineers, in particular, graph theorists, electrical circuit theorists, and probabalists will find an accessible exposition of an advanced subject.
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Langue: anglais
Edité par Birkhäuser Boston Nov 2012, 2012
ISBN 10 : 1461266416 ISBN 13 : 9781461266419
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Ajouter au panierTaschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume provides a relatively accessible introduction to its subject that captures the essential ideas of transfiniteness for graphs and networks. 200 pp. Englisch.
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Ajouter au panierEtat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This volume provides a relatively accessible introduction to its subject that captures the essential ideas of transfiniteness for graphs and networks.|A transfinite graph or electrical network of the first rank is obtained conceptually by connecting .