Gene Fuller wrote:
Why would anyone try to prove that the basic math of adding sinusoidal
functions is incorrect? To the contrary, you are the one who insists
that a standing wave and its constituent traveling wave components are
somehow different and unique.

Actually, it was you who made that assertion and thanks for the
opportunity to quote you once again:

Gene Fuller, W4SZ wrote:
In a standing wave antenna problem, such as the one you describe,
there is no remaining phase information. Any specific phase
characteristics of the traveling waves died out when the startup
transients died out.

So standing waves are "somehow different" from traveling waves
according to your own assertions. The traveling wave possesses
phase characteristics and the standing wave doesn't.

Phase is gone. Kaput. Vanished. Cannot be recovered. Never to be
seen again.

So it was you who asserted that standing wave current is "somehow
different" from traveling wave current and I agree with you. It's
obvious they are "somehow different" because they have different
mathematical equations. Have you changed your mind since your
above quoted posting?

No one denies the simultaneous existence
of standing waves and traveling waves.

Of course they do, Gene, that is the whole point. Here is a quote
from K8LV's article:

"I wish to emphasize the fact that the forward and reverse
waves really do not exist separately ..."

That certainly *denies* the separate existence of the underlying
traveling waves so your above assertion is false. I believe that
W7EL also denies the separate existence of forward and reverse
waves and introduced the technical term, "sloshing", to explain
what happens to the energy in a transmission line with reflections.
--
73, Cecil http://www.qsl.net/w5dxp