Kenneth Collins wrote in message ...
>Sorry, I left out some necessary details.
>>'down-ness' and 'up-ness' are just relative TD E/I 'momentary'
>directionality, in this exercize, artificially mapped in 2-D because
>that's how the data were recorded.
>>It's not 'illegal' Maths. It's just some of how Maths actually
>happens within nervous systems.
>>k. p. collins
>>Kenneth Collins wrote in message ...
>>Kenneth Collins wrote in message ...
>>>[...]
>>>There is convergence, within a "U"-shaped 'well', and that can be
>>>termed "oscillation", but it's better described as damped-harmonic
>>>'motion' [with respect to TD E/I, not like a tuning fork dunked in
>>>a viscous liquid],
because TD E/I is not 'analogous to the =relatively= 'uniform' action
of a viscous fluid.
[which is, again, why the "oscillation" is only an illusion - a
'shadow' of TD E/I-minimization - an artifact of TD E/I-minimization.
At the ionic [3-D energy-flow] 'level' in which TD E/I-minimization
derives, everything's 'just' =continuous= variation.
The mactoscopic "oscillation" is an illusion at-scale.
Same as when a strong wind shakes a tree. The tree might "oscillate",
but look-closer, and everything's going directionally willy-nilly.
In nervous systems all of the ionic stuff is, more or less,
rigorously-mapped in a topologically-distributed fashion with respect
to both internal and external WDB2T.
Within this 'storm' of ionic-flow directionalities, the TD
E/I-minimization mechanisms 'latch' TD E/I(down), which enables
convergence upon relative TD E/I(min).
But the "oscillation" is just a macroscopic illusion that's
correlated with the 'pawling'-latencies inherent in the TD
E/I-minimization mechanisms' functioning.
TD E/I 'overshoots' before the TD E/I-minimization mechanisms can
'stick-the-pawl' in-there.
The "oscilation" is just an artifact of TD E/I-minimization that
derives in this 'latching' ["pawling"] over-shoot.
If the macroscopic illusion of "oscillation" is attended-to,
=everything= that actually matters is ignored.
the other thing is that, within the 'brain', TD E/I-minimization
incorporates topologically-mapped 'arrays':
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
"U" "U" "U" "U" "U" "U" "U" "U" "U" "U"
As is discussed in AoK, Ap6, the 'columnar' distributions of 'local'
TD E/I-minimization 'zones' are set-up as a function of 'normal'
sensory-inputs, mapped with respect to one another, 'hovering' about
a cantral 'focus' [that correlates with the front-center orientation
dynamics that are discussed in AoK, Ap3 [and disclosed in the
Chronister, et al ref]. See the discussion of "sliding fields" in
AoK, Ap6 [and run the "RELMO.bas ["relative motion"] QBasic code I
posted before logging-off the last 'time'.]
You, you, you... See?
k. p. collins
k. p. collins
>>>so the harmonics just demonstrate that TD
>>>E/I-minimization is happening.
>>>>This needs to be discussed in more detail.
>>>>First the convergence is probably via a high-eccentricity
>>'paraboloid, so calling it a cross between a "U" and a "V" is
>better.
>>>>But, "Where is the curve?"
>>>>It's in any of the traces that depict TD E/I-minimization [as in
the
>>Elazar and Addey ref that i've cited elsewhere on the board [and in
>>AoK], and it's in the Traub, et al 'challenge' paper.
>>>>The 'jaggies' that occur within a trace that shows a downward trend
>>over 'time' are just the 'momentary' TD E/I-minimization dynamics
>>'hunting', back and forth, with respect to the intermingling of
>>stochastic and epicritic 'chance' fluctuations [scraps of
>>'creativity'], 'latching' [in AoK, "pawling"] when TD E/I(up)
>follows
>>TD E/I(down).
>>>>So, when these "jaggies" are mapped onto 2-D Cartesian coordinates,
>>vertical axis: TD E/I, horizontal axis: 'down-ness' --> 'up-ness'
>>[distributed evenly along the axis], one gets the high-eccentricity
>>'paraboloid', which discloses the TD E/I-minimization 'well'.
>>>>"U" See?
>>>>k. p. collins
>>>>>[...]
>>>>>>
