Two Mathematical Comments on the Thevenin Theorem: An “Algebraic Ideal” and the “Affine Nonlinearity”

Figure 7

(a) We have two options for the sources “growing” in a feeding medium; namely, one of the sources may become dominant; (b) and (c): one of the sources has grown stronger, and we can see in it the ideal source with zero internal resistance and to consider this source to be the input for the rest of the circuit. The other source is weak, that is, its internal resistance (or impedance—see discussion of Figure 1) is significant; it is the (affine) nonlinear side of the circuit, which will have a response of type (8). Notice that in (b) and (c) we have only one input.

(a)

(b)

(c)