Infinite Electrical Networks
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Infinite Electrical Networks
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Author : Armen H. Zemanian
language : en
Publisher: Cambridge University Press
Release Date : 1991-11-29
Infinite Electrical Networks written by Armen H. Zemanian 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 1991-11-29 with Mathematics categories.
This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition.
Infinite Electrical Networks And Their Applications To Simulation And Modelling
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Author : Prasad Subramaniam
language : en
Publisher:
Release Date : 1982
Infinite Electrical Networks And Their Applications To Simulation And Modelling written by Prasad Subramaniam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Electric networks categories.
Resistances And Currents In Infinite Electrical Networks
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Author : C. Thomassen
language : en
Publisher:
Release Date : 1987
Resistances And Currents In Infinite Electrical Networks written by C. Thomassen 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.
Resistance And Currents In Infinite Electrical Networks
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Author : Carsten Thomassen
language : en
Publisher:
Release Date : 1987
Resistance And Currents In Infinite Electrical Networks written by Carsten Thomassen 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.
Harmonic Functions And Potentials On Finite Or Infinite Networks
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Author : Victor Anandam
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27
Harmonic Functions And Potentials On Finite Or Infinite Networks written by Victor Anandam 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 2011-06-27 with Mathematics categories.
Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications from Bauer, Constantinescu and Cornea. A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network, on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory.
Potential Theory On Infinite Networks
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Author : Paolo M. Soardi
language : en
Publisher: Springer
Release Date : 2006-11-15
Potential Theory On Infinite Networks written by Paolo M. Soardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries.
Pristine Transfinite Graphs And Permissive Electrical Networks
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Author : Armen H. Zemanian
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-12-21
Pristine Transfinite Graphs And Permissive Electrical Networks written by Armen H. Zemanian 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 2000-12-21 with Mathematics categories.
This volume provides a relatively accessible introduction to its subject that captures the essential ideas of transfiniteness for graphs and networks.
Resitances And Currents In Infinite Electrical Networks
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Author : C. Thomassen
language : en
Publisher:
Release Date : 1986
Resitances And Currents In Infinite Electrical Networks written by C. Thomassen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Pristine Transfinite Graphs And Permissive Electrical Networks
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Author : Armen H. Zemanian
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Pristine Transfinite Graphs And Permissive Electrical Networks written by Armen H. Zemanian 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 Mathematics categories.
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.
Partial Differential Equations And Applications
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Author : Giorgio Talenti
language : en
Publisher: Routledge
Release Date : 2017-10-02
Partial Differential Equations And Applications written by Giorgio Talenti and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-02 with Mathematics categories.
Written as a tribute to the mathematician Carlo Pucci on the occasion of his 70th birthday, this is a collection of authoritative contributions from over 45 internationally acclaimed experts in the field of partial differential equations. Papers discuss a variety of topics such as problems where a partial differential equation is coupled with unfavourable boundary or initial conditions, and boundary value problems for partial differential equations of elliptic type.