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Geometrical Circuits of Electrical Networks
Transactions of the American Institute of Electrical Engineers, 1932If all the electrical properties are abstracted from a given electrical network, there remains a geometrical circuit, completely characterized by the sets of branches terminating at the various vertexes. In this paper, enumerations of geometrical circuits are given, classified according to two different parameters, the nullity (number of branches minus
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1991
This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition. Using the basic tools of functional analysis and graph theory, the author examines the fundamental developments in the field and discusses applications to other areas of mathematics.
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This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition. Using the basic tools of functional analysis and graph theory, the author examines the fundamental developments in the field and discusses applications to other areas of mathematics.
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Market Networks: An Electrical Analog
IEEE Transactions on Circuits and Systems, 1977An analogy can be drawn between electrical networks and certain systems of spatially separated markets for a given commodity. This allows the application of electrical network theory to the dynamic analysis of those marketing systems. Linear equivalent circuits model the behavior of the producers, consumers, and shippers.
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Graph Theory and Electric Networks
IRE Transactions on Circuit Theory, 1959In this discussion, we mention the following topics concerning electric networks in graph theoretic terms: Kirch. hoff's Laws, mesh and node equations, and matrix tree theorem; flow problems and Menger's theorem; boolean functions and enumeration and synthesis problems; information theory and Markov chains; cut sets and incidence matrices; the "crummy ...
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Network meta‐analysis, electrical networks and graph theory
Research Synthesis Methods, 2012Network meta‐analysis is an active field of research in clinical biostatistics. It aims to combine information from all randomized comparisons among a set of treatments for a given medical condition. We show how graph‐theoretical methods can be applied to network meta‐analysis.
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Inter-reciprocity applied to electrical networks
Applied Scientific Research, Section B, 1957As an extension of the concept of reciprocity a new concept calledinterreciprocity is introduced. The latter concept applies to both reciprocal and non-reciprocal structures. On behalf of the use of inter-reciprocity for electrical network investigations a unique topological network operation, calledtransposition, has been devised in such a way that a ...
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