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jstan
climber
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Analysis of fluid flow, the air in this case is difficult, with many problems requiring numerical
analysis. In the case of the "pill" a non-spherical body it has been found via Bernoulli and other
laws, that the state of lowest energy is found when the body presents its largest cross sectional
area to the onrushing gases. Absent other forces, hydrodynamic flow should cause the pill to
impact on one of its two large faces.
Counterintuitive, but as I remember it, this is derivable,
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zBrown
Ice climber
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^So in order to understand one thing, it may be necessary to bring in other things.
Could there be other things that one is not aware of and therefore not capable of being brought to bear on figuring out what one thing is?
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jgill
Boulder climber
The high prairie of southern Colorado
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unequal surfaces. Try a pill with three equal sides (like a die has six equal surfaces).
;>)
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zBrown
Ice climber
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Always enlightening to hear from the 'j' brothers (Gill & Stan). I was headed somewhere with all this. Hope to return to it when other things settle out.
Puzzling isn't it DMT?
I am wondering what a pill with three equal sides would look like.
Did you say Penrod?
EDIT: Yes, even I make a mistake from time to time. Some are ez to fix.
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jstan
climber
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Always enlightening to hear from the 'j' brothers (Stan & Gill). I was headed somewhere with
all this. Hope to return to it when other things settle out.
Things get this way when you look at problems that don't (yet) have closed form solutions.
Navier Stokes and the N body problem for instance.
One correction I would request, Above you should have typed "Gill and Stan." I have seen John
boulder. He needs to be first author.
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zBrown
Ice climber
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^done & done
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BLUEBLOCR
Social climber
joshua tree
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The correct answer to What is "Mind has been around since the beginning.
When the the mental speculators arrived and couldn't for the life of them understand the manual because they did everything against their own nature.
Thus their consciousness devolved and thru their arrogance they actually believed they've advanced all while one can easily see they've devolved.
Thus masqueraded as the intelligent class they've mislead the world down into perpetual wars, destructive consciousness against material nature and to their own demise.
Stoopid crankloons .....
my favorite post thus far.
Quack Quack
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jgill
Boulder climber
The high prairie of southern Colorado
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Lot of thoughtful quack'n there!
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jgill
Boulder climber
The high prairie of southern Colorado
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I am wondering what a pill with three equal sides would look like
Curiosity is the first step toward enlightenment!
;>)
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zBrown
Ice climber
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Anything to lighten my load.
Nice chattin' with you jgill.
Anyway, by way of response to the assertion that I just make this stuff up which I have heard from time to time. I actually dropped a pill similar to the one pictured back upstream the other day. It hit the floor on the vertical, rolled a bit and came to a stop still vertical. Improbable, eh?
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MH2
Boulder climber
Andy Cairns
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Improbable, eh?
Depends on the size and shape of your floor.
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jgill
Boulder climber
The high prairie of southern Colorado
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OK, I've played around with the Markov chain recursive probability integral for a one-dimensional random walk to get a glimpse of what a path integral might be. In my very elementary examples the probabilities were quite simple to compute. So it seems more reasonable that those used in quantum physics may not be as daunting as I figured before.
However, somewhere in my reading an author said "We'll drop i for convenience." I guess so, as long as you get the answer you seek . . .
Field integrals looks to be more mysterious than functional integrals . . .
;>\
Where is JL when you need him to expound on these difficult math questions in physics?
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MH2
Boulder climber
Andy Cairns
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Does the method extend easily to higher dimensions?
Does a 2-dimensional random walk always return to where it started, eventually, and therefore also revisit all points it has been through, eventually?
How about a 3-dimensional random walk? Is the probability of revisiting a particular point around 1/3?
And so on.
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zBrown
Ice climber
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I am indeed floored. Anyway to simplify, my floor where the pill landed has three equal sides just like that pill rolling around here on this thread.
This does come back to what I think I was working on a while ago. It is very hard to know "what something is" when it may in fact be determined by something that one doesn't even know exists. Let alone having language to describe it appropriately.
Would it be ironic if one had to take a random walk on the wild side of a Markov chain in order to get down to the real nitty gritty of what mind is?
Does ever'body have to go back to school?
How would one even think about expressing it in ASL?
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MH2
Boulder climber
Andy Cairns
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How about instead of asking what a thing is, ask what happens if you drop it on your floor.
You build your picture of the world through observations. You may find patterns and connections. You may sense underlying similarities. Mathematics is rich in this regard.
It is also good to just enjoy life and not worry too much about why things happen the way they do.
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zBrown
Ice climber
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The old transformational grammar gambit GRACIE, eh?
What is "Mind"? becomes What's the point of asking?
Good night! "Came up tails, it rhymed with sails, so we made it back to the ship."
[Click to View YouTube Video]
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jgill
Boulder climber
The high prairie of southern Colorado
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Does the method extend easily to higher dimensions? Does a 2-dimensional random walk always return to where it started . . .
I don't know. Maybe there's an expert looking in who could elucidate. The integral formula I used is essentially a distribution function and one has to insert into the integrand a density function - which I just made up. The integrand also has as a factor the previous distribution. Not my bailiwick.
I like to dabble with the simple Riemann integral (or the Kurzweil-Henstock integral) in the complex plane and try to ferret out things that look a bit like Riemann sums and generalize them to virtual integrals. Just curiosities. Much easier than what physicists require.
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feralfae
Boulder climber
in the midst of a metaphysical mystery
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(revealing my ignorance)
isn't a pill three-sided, generally?
a cylinder (one side)
two hemispheres (each one-sided)
and you can distort the cylinder into an oval, etc, and still have three sides. Think of all the ways one could distort an orange segment.
I must get back to work, as much as I enjoy lurking here.
Ah, here is a site some of you might enjoy: Institute of Noetic Sciences http:// www.noetic.org On mind research. As well as brain research.
Also, some of you might enjoy Causality and Chance in Modern Physics by Bohm, about page 70, it begins to get interesting. I think the elegant formula is on page 78, but my copy is on loan. And Heisenberg wrote a nice introduction, by the way.
Thank you for a lovely discussion. Back to art stuff. And Super Santa work, of course.
Merry Christmas and have entirely too much fun!
feralfae
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jgill
Boulder climber
The high prairie of southern Colorado
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Thanx for the link to stochastic calculus . . . I heard of it some time ago, but never looked into it. Neat analogue of the R-S integral. At one time I turned away from the Henstock integral, thinking it a bit much for beginning calculus students at a state college. But now I find it likable. It truly is a "super-Lebesgue" concept that exceeds the L-integral, and is much more palatable from my perspective.
Feralfae: Since finding a three-face "die" is challenging, the cut-cylinder is an obvious analogue if it is designed so that throwing it like a die would result in equal probabilities for the three "sides". (perhaps a sphere with its surface sectioned into three equal parts)
;>)
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