Titlebook: Mathematical Foundations of Network Analysis; Paul Slepian Book 1968 Springer-Verlag Berlin · Heidelberg 1968 Algebra.Analysis.Elektrische

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Connected Networks,rcuit theory considerations. Such a divorce allows us to examine those network properties which are independent of circuit theory considerations. Much later in the book, after our elementary machinery is firmly established, we shall introduce the complications of circuit theory into our existing elementary structures.

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Axioms of Network Analysis,ture such a resistive network by assigning a positive real number to each branch of an abstract network. The resistive network, however, is not an isolated object; it participates in a more complicated circuit, and its behavior is described by its branch currents and branch voltages.

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Loops, Trees, and Cut Sets,Now that we are experts on the general subject of connected networks and connected sets of branches, we focus our attention upon two particular types of connected sets of branches, loops and trees. In addition, in this Chapter we consider cut sets, which are sets of branches very closely associated with the concept of connectedness.

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Boundary Operator and Coboundary Operator,We now start to develop our circuit theory by combining our linear algebra and network theory. In this Chapter such a combination yields the boundary operator and coboundary operator, leading to a precise formulation in Chapter Six of Kirchhoff’s Laws, upon which all circuit theory is based.

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Paul Slepianthe subject. Topics range from basic information on the spectrum of neurologic-related disease to pertinent pictorial examples of many neuropathologic conditions.The first part presents basic information on the978-3-031-56660-8978-3-031-56658-5