Math Forum Discussions

Brian Quincy Hutchings

Posts: 3,031
Registered: 12/6/04

Re: Is there a way to visualize 4D data?
Posted: Jun 28, 2006 3:23 PM

Plain Text

no; the sequence of digital blares that one has heard
for years from car-alarms, which funded the bogus gubenatorial recall
in California, always does that for me. so,
what is a "military-pavlovian style," if you prefer
not to address any of my questions?

Sir David is quite a guy, as proved in _A NEW Kind of Science_.

> > did you say that you could find the Bornouli numbers,
> > using the buckynumbers, that is not a triviality?
>>
> > thus:

> > I note that that last graph had 3 coordinates,
> > with different-sized tetrahedra and "hue for 0
> > through 2;" so, What?

> > what possible use could your Buckynumbers have,
> > that has not already been covered by other homogenous 3d formats?...

> > when you find a mathematical-physical application,
> > I'm sure that you'll announce it!
> >
> > >One four-dimensional point is a regular wireframe tetrahedron in the
> > >Synergetics coordinate system and you can make each point a different
> > >hue and you might see something you're looking for, who knows?
> > >
> > >See the last graphic in the Section The Vector Equilibrium at:
> > >http://users.adelphia.net/~cnelson9/

> Does the name Pavlov ring a bell? Your military-Pavlovian style
> propaganda against Wolfram's Mathematica will work unfortunately. I even

thus:
monsieur Magadin was, I think, working with scalars, so that
the "subspace" was artificially mooted. all of this was covered
by Hamilton in _Quaternions_, where the terminology was coined....
one problem is that common parlance of "subspace,"
would be merely a region of a larger space, although it's not a
problem,
since the parlance is really only common to math and
sciencefiction, as far as I know, and it's mostly going
to deal with dimensionality, otherwise. if so, then
you're not going to look at silly degenerate cases (say,
a Hilbert space of infinite dimensions,
all pointing on the same complex vector to your forehead ... although
this is exactly what Hamilton did with his first "2D" complex numbers,
on one line (I think, homogenous coordinates, oppositely directed .-)

> If you do not hand wave or lie, the why should you feel insulted?

thus:
good point. although there is a 2.5-page proof of the isomorphism
of deductive & inductive proofs, I don't know of one
from induction to "bizzaarr circumlocution."

> "Thus together with step n = 3 the extension of the statement of the
> overlapping to the step n = 4
> is that each even number in the step n = 4 can be written as the sum of
>
> two prime numbers and these two prime numbers are each from a pair
> of twin prime numbers in the steps n = 1, 2, 3, 4 and that there
> is a pair of twin prime numbers in the step n = 4 (and not in the step
> n
> = 1, 2, 3) such that the sum of this pair of twin prime numbers is an
> even number in the step n = 5. "
>
> How Sze knows that in the steps n>5 there are twin primes?
> Between 1322 and 1432 there are not twin primes.

--it takes some to jitterbug!
http://members.tripod.com/~american_almanac
http://www.21stcenturysciencetech.com/2006_articles/Amplitude.W05.pdf
http://www.rwgrayprojects.com/synergetics/plates/figs/plate01.html
http://larouchepub.com/other/2006/3322_ethanol_no_science.html
http://www.wlym.com/pdf/iclc/howthenation.pdf