ALGEBRAIC TOPOLOGY OF NETWORKS with application to POTENTIOMETER ANALOG CIRCUITS Part I: THEORY

摘要

This chapter groups the mathematical notions and theorems which are necessary to solve the problem of network analysis. Only some familiarity with Linear Algebra, that la with matrices and linear equations, is supposed.nAlthough Kron's name is intimately associated with the applications of tensors to Engineering, it is by now certainly superfluous to point out that its appearance in the title of this chapter does not indicate that we present here a network analysis based on tensors. Indeed, our mathematical tool, developed in Chapter I, is Algebraic Topology.