Theorem on resistive networks

TLDR: In this paper, a theorem on (m+1) terminal resistive networks was proved, and it was shown that the restrictions on the n×n open-circuit-impedance matrix Z of a resistive n port based on m+1 terminals are at the most quadratic in entries Zpq of Z.

Abstract: A theorem on (m+1) terminal resistive networks is stated. As a consequence, an (m+1)terminal network may be considered an m dimensional, strongly Ptolemaic metric space. Furthermore, the restrictions on the n×n open-circuit-impedance matrix Z of a resistive n port based on m+1 terminals, are at the most quadratic in entries Zpq of Z.