Transfer impedances and the no-amplification property of resistive networks

Resistive networks may be considered to form a strongly Ptolemaic mth-order metric space Sm. Generalization of the no-amplification property on open-circuit transfer impedances can be shown to be equivalent to a metric transformation of Sminto a hyperacute-angled simplex Pm, congruently imbeddable in m-dimensional Euclidean space Em.