Flatness

[Michael G. Koopman]

Bonnie, it is not sufficient to say:

> I have mentioned this before and got little response.  Actually, there is 
> soemthing called an "eigenfunction" that has do with the non-differential 
> equations, attractors, and chaotica sytsems.  I am not yet sure what an 
> eigenfunction is--only saw it referenced in a book on strange attractors 
> and chaotic evolutions (by David Ruelle.)

Eigenfunctions have something to do with harmonic analysis and
ordinary and non-ordinary differential equations.  What, per se, is a
non-differential equation?  There are a host of things considered as
non-differentiable, and in your cloaca systems chaosm a sharp hook
might dig in hearing such named non-Hausdorf monsterances, or some
other popular non-term for such speckled eggs as usually heeled.  Such
cups runneth over and stain our covers to embed in hatches converted
to tables, in further scrambling your beatnik props.

Chaotic evolutions is an excellent handle on what some non-Hausdorf
yet complete crop dusters might hitch in fertilizing plain talk.
Periodicities, asingular, referent to lifts of dynamic space filtered
in banded or other finer striations might assign developments by
spinor techniques of tensor analysis including differential methods.
This is single and double plus or minus goodness of finite distractors
in ray turn and leaf tern splotched divergences, a neat trick which
despites polyana parlance is non-metric city.

Implications turning about such dusty places might advance notions
that physics modelled with these techniques "exhibits" these forms.
This presents more chicken/egg spear-ians chuckled bits of warped
klink iron designs.  Such methodologies do present correspondence with
results obtained against such metric basis.  The non-qua missioned
opposites are by no means validated, but to preserve such coherence in
face of missals debates is anti-thetical to defensive posturing traded
through many centuries of bluing notes passed valiantly.  Conceptually
a flatland may be sufficient for near any space descriptor un-lifting
through such revolting singular minded gracings bequeathed by stitial
bands of, aye, blinded yesteryears, confectionately interludent like
inner outer creamy conus spheroidal licking heels.  Doesn't it take
time to present such interlocutionary deep thoughts enclaved?

Mike Koopman internet: koopman at ctc.com phone: +1-814-269-2637