One-ports composed of power-law resistors

Some resistive (more generally, algebraic , e.g., DC magnetic or dielectric) 1-ports, composed of elements having a single-degree characteristic (f(x)∼x^a) are considered and some general relations relevant to such 1-ports of an arbitrary structure are proved. For series-parallel (s-p) 1-ports and also fractal 1-ports, this specific characteristic permits constructive (formulas) circuit solution. A generalization of the concept of conductivity is thus obtained.