[Martin Taylor 2017.11.18.17.08]
[From Rick Marken (2017.11.18.1220)]
We all agree on that.
So, if you agree that this critical fact is true, go the next step,
and substitute the previous expression, D = V3 times a
function of purely spatial variables, in this one. But Oh, I
remember, when I did that for you in order to assist your
understanding of the problem, your response was very angry.
Oh, really? .... Sometimes a little thought helps, maybe even after
a year of being entrenched in a hole created by a simple mistake. To
help you, just have a look at what the substitution really does –
it eliminates from consideration all the experimental data, and
proves that V = V. That’s all your OVB analysis achieves. That’s all
!!!
Or think of it as a questionable matter of fact, on which your
opinion and yours alone determines truth, as it does in mathematics,
and in everything else discussed on CSGnet. Just remember that a
long time ago when you said something similar, Bill chided you with
words close to this: “Think who you are talking about – Martin
Taylor.” But I guess Bill wasn’t very smart about that, was he?
Howsoever that may be, to label everyone who "* disagrees with an
opinion expressed by Richard Marken on any topic, [is] clearly
ignorant, stupid, or deeply opposed to PCT"* is not conducive
to resolving scientific disagreements. Their resolution is more
commonly based on data and/or analysis, not ad hominem
attacks. Those are better suited to the political arena.
Martin


···
Martin Taylor (2017.11.17.16.48)–
MT: Once upon a time, Bill's opinion
did have some influence on yours, but that
influence seems to have finally decayed away
entirely. Bill thought that Richard Kennaway was
pretty good at maths, and so did you not very long
ago, but Richard has now made the ultimate mistake
of disagreeing with your opinion on maths, so now
he is no longer good at maths.
RM: It wasn't Bill's opinions that had an influence on
me; it was his demonstrations that his opinions (his view
of behavior and his theory to explain it) worked. But I
certainly think Richard is a very good mathematician; he’s
trained as a mathematician, after all. I just think he is
wrong about the results of a multiple regression analysis
that would include log R and log D as predictors of log V.
He was certainly right about the simple fact that
log V = 1/3 log D + 1/3 log R
correctly describes the mathematical relationship
between the variables R and V.
MT: (Incidentally,
you still haven’s shown your proof of the error in my
derivation of your “D” cross-product correction factor
as the product of V3 and a function of purely
spatial variables. When will you do that? I guess you
will have to provide an introduction to Markenmath
first, though, because it can’t be done in the math the
rest of us were taught in high school. But that
old-style math doesn’t agree with your opinion, and
that’s all that matters.)
RM: I haven't provided a proof of error in your
derivation of D because whether or not there is an error
(and I think there is not one) is irrelevant to my
analysis. I think you have correctly shown that this
formula for D:
is equivalent to this one:
which just shows that my way of computing D, using the
upper formula with derivatives taken with respect to time,
gives the same result as yours, using derivatives with
respect to space. It’s just a little easier to compute D
using the upper formula because the calculation of ds in
the lower formula requires calculating the arctan of the
time derivative. But the result in both cases is the
result is the variable D in the equation:
log V = 1/3 log D + 1/3 log R
RM: How you calculate D has no effect on the results of
the regression analysis and, hence, it has no effect on
the OVB anaylsis that allows prediction of the value of
the power coefficient that will be found for any movement
trajectory by regressing log R on log V while omitting log
D from the analysis.
MT: And so it goes
on CSGnet. If anyone disagrees with an opinion expressed
by Richard Marken on any topic, they are clearly
ignorant, stupid, or deeply opposed to PCT. And every
CSGnet reader must understand that, or be included among
the bulldog-bitten benighted opponents of PCT.
RM: The fact that I'm usually right and you are almost
always wrong about things PCT is not my fault. Blame it on
a simple twist of fate.