Abstract Linear Network

Abstract

Four physical structures resulted from the considerations in the preceding sections which are isomorphic, concerning both the relations between coordinates which describe the system status and the topology of schemes which can be assigned to the structures.

This fact suggests the introduction of an abstract linear network which comprises the characteristics of all structures previously discussed. The importance of such an abstract network is based on the fact that all results of electrical network theory can be transfered to this abstract network due to the definite relations to electrical networks. Thus, the validity of these relations is ensured not only for the physical structures previously discussed, but also for all other occurring structures which can be described by equations summarized in the following.