Complex Z0 Clearness
[Complex Z0 mini-Compendium for Example Builders - Part III]

With the help of
Mrs. yin,SV7DMC
it was mechanically proved
that:

The transformation
between any set of
Propagation Characteristics
(a, b, Ro, Xo),
and its corresponding set of
Distributed Circuit Coefficients
(R', wL', G', wC')
as well as of its inverse,
for any proper complex Z0,
namely one with X=/=0,
is

one-to-one

everywhere
on its domain and range of values,
since its Jacobian equals to

4.|g|^2/|Zo|^2

that is to say
an obviously non-zero number.


This result
definitively clears any reservation
on the building of examples
within the frame of the
Uniform Transmission Line Theory,
as long as
the propounded conditions
are checked for their validation.

Sincerely,

pez
SV7BAX
&
yin
SV7DMC