h a l f b a k e r yNot so much a thought experiment as a single neuron misfire.
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Ok, so I noticed a similarity between the
waves on the surface of my dogs water
bowl as I filled it as cataloged in the
original linked idea. I realized as I was
filling the bowl again the other day that its
not the fluid dynamics which produce
those patterns, but the wave interference.
Perhaps
the wave mechanics could be
applied to the stated problem to find a
solution.
I'm expecting bones on this one, but I'm
not an advanced enough mathematician to
know how to apply this similarity, but
perhaps someone out there is.
A plot of stopping times for the Collatz Problem
http://www.cs.cmu.e...cs/Collatz-stop.jpg
notice the similarity to wave interference patterns [bleh, Aug 30 2007]
Similar wave interference
http://www.colorado...es/interference.gif
[bleh, Aug 30 2007]
My first idea
solve_20the_20Colla..._20fluid_20dynamics
which didnt make much sense [bleh, Aug 30 2007]
[link]
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//how can something so visually obvious
still be unobtainable// |
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God, Its good to know I'm not alone! |
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Thanks for your annos on both the ideas. I
knew it was a long shot, and, being so
visually obvious, I figured there was a
reason it wouldn't work, but hey, at least
I'm thinking. |
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I suppose you didn't, and there's no
reason that I know of to say it wont.
Lets make it happen Lt_! I just started
my first Computer Science class at
GATech, and I have a little script that
tests whatever number you put in to see
if it resolves to one. So far they all do
(of course). I know testing random
numbers wont solve the problem, but it
was an interesting project to get
familiarized with MatLab. |
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I'm going to continue building the script
throughout the semester to see if I cant
make any headway (not likely, many
people much smarter than I have
already tackled the problem to no avail.
There's not a Million Dollar prize for
solving it for no reason.) |
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