What happens here seems very clear after drawing one time-vs.-distance plot for each bullet on the tx-plane -- assuming one bullet per second. * Each speed-2 bullet annihilates the most recent speed-1 bullet after 1 second. Unless of course the speed-2 bullet is the first one, in which case it goes forever in a straight line. --Dan Jim wrote (re David's Gun Problem): << . . . I'd also like to see what happens with a non-random gun that simply alternates between emitting speed-1 bullets and speed-2 bullets; probably it gives something with a simple fractal structure, but I'm too tired right now to do by-hand simulations or to code. . . .
________________________________________________________________________________________ It goes without saying that .
Thanks for setting me straight, Dan. I guess my proposed discretization is pretty trivial. I'm surprised no one has done a simulation of David's original model. Are there no coding-addicts among us craving a quick Coder's High? Jim P.S. David, can you tell us anything about the genesis of your question? On 6/7/12, Dan Asimov <dasimov@earthlink.net> wrote:
What happens here seems very clear after drawing one time-vs.-distance plot for each bullet on the tx-plane -- assuming one bullet per second.
* Each speed-2 bullet annihilates the most recent speed-1 bullet after 1 second.
Unless of course the speed-2 bullet is the first one, in which case it goes
forever in a straight line.
--Dan
Jim wrote (re David's Gun Problem):
<< . . . I'd also like to see what happens with a non-random gun that simply alternates between emitting speed-1 bullets and speed-2 bullets; probably it gives something with a simple fractal structure, but I'm too tired right now to do by-hand simulations or to code. . . .
________________________________________________________________________________________ It goes without saying that .
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I am essentially a night person, cursed with the mandate to be in bed at 11. Hence a variety of insanities seep out of my semi-lucid brain as I stare into the darkness in the wee hours, trying not to wake the wife. On 6/7/2012 6:57 PM, James Propp wrote:
Thanks for setting me straight, Dan. I guess my proposed discretization is pretty trivial.
I'm surprised no one has done a simulation of David's original model. Are there no coding-addicts among us craving a quick Coder's High?
Jim
P.S. David, can you tell us anything about the genesis of your question?
What you need is a shed. With broadband connection, obviously. WFL On 6/8/12, David Wilson <davidwwilson@comcast.net> wrote:
I am essentially a night person, cursed with the mandate to be in bed at 11. Hence a variety of insanities seep out of my semi-lucid brain as I stare into the darkness in the wee hours, trying not to wake the wife.
On 6/7/2012 6:57 PM, James Propp wrote:
Thanks for setting me straight, Dan. I guess my proposed discretization is pretty trivial.
I'm surprised no one has done a simulation of David's original model. Are there no coding-addicts among us craving a quick Coder's High?
Jim
P.S. David, can you tell us anything about the genesis of your question?
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participants (4)
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Dan Asimov -
David Wilson -
Fred lunnon -
James Propp