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Singular Network Elements

1964/01/01 by H.J. Carlin · 2 citations
Computer Science · Engineering · #Advanced Memory and Neural Computing #Molecular Junctions and Nanostructures #Quantum-Dot Cellular Automata

paper · doi:10.1109/tct.1964.1082264

openalex publication_date 1964/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The properties ofn-ports can be examined in terms of simple properties of linear vector spaces. This approach leads to a very general type of network formalism which in turn casts light on the physical realizability (or nonrealizability) of the singular linear network elements: the nullator (simultaneously an open and a short circuit), and the norator (the unique nonreciprocal one-port with arbitrary port voltage and current). Furthermore, a two-port (the "nullor") which combines these two elements can be shown to be a unique active building block which exhibits the extraordinary nature of the two singular one-ports, but which has other properties which make it amenable for use in practical systems.

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