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sup
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Posted 2012-01-04, 09:47 AM
I... I...



I thought you were a GEP gun.
"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram
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Posted 2012-01-04, 09:50 AM in reply to Chruser's post "sup"
This is surprisingly arousing
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Grav never puts off to tomorrow what can be done the day after tomorrowGrav never puts off to tomorrow what can be done the day after tomorrowGrav never puts off to tomorrow what can be done the day after tomorrowGrav never puts off to tomorrow what can be done the day after tomorrowGrav never puts off to tomorrow what can be done the day after tomorrow
 
 
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Posted 2012-01-04, 09:52 AM in reply to Grav's post starting "This is surprisingly arousing"
Let's visit the multiverse.

"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram
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Posted 2012-01-04, 09:59 AM in reply to Chruser's post starting "Let's visit the multiverse. ..."
Chruser said: [Goto]
Let's visit the multiverse.

Oh my God — It's full of stars!

"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram
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Posted 2012-01-04, 10:52 AM in reply to Chruser's post "sup"
Our fearless leader returns!
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Posted 2012-01-04, 12:51 PM in reply to KagomJack's post starting "Our fearless leader returns!"
I, too, have returned.

A Sig by Wetwired
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Boomerang is neither ape nor machine; has so far settled for the in-betweenBoomerang is neither ape nor machine; has so far settled for the in-between
 
 
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Posted 2012-01-04, 12:59 PM in reply to Boomerang's post starting "I, too, have returned."
I don't know you.
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Posted 2012-01-04, 02:15 PM in reply to Chruser's post starting "Oh my God — It's full of stars! ..."
Aahaha. You sat on a scanner and took an image of your ass then added color didn't you
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Posted 2012-01-04, 02:47 PM in reply to Boomerang's post starting "I, too, have returned."
Boomerang said: [Goto]
I, too, have returned.
Boomerang=Skurai
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!King_Amazon! simplifies with no grasp of the basics!King_Amazon! simplifies with no grasp of the basics!King_Amazon! simplifies with no grasp of the basics!King_Amazon! simplifies with no grasp of the basics!King_Amazon! simplifies with no grasp of the basics!King_Amazon! simplifies with no grasp of the basics!King_Amazon! simplifies with no grasp of the basics
 
 
!King_Amazon!
 



 
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Posted 2012-01-04, 11:10 PM in reply to Chruser's post starting "Oh my God — It's full of stars! ..."
Chruser said: [Goto]
Oh my God — It's full of stars!

Is that a butt? lol
Skurai
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Posted 2012-01-04, 11:26 PM in reply to Skurai's post starting "Is that a butt? lol"
You're all faggots.
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-Spector- is the result of 14 billion years of hydrogen atom evolution-Spector- is the result of 14 billion years of hydrogen atom evolution-Spector- is the result of 14 billion years of hydrogen atom evolution-Spector- is the result of 14 billion years of hydrogen atom evolution-Spector- is the result of 14 billion years of hydrogen atom evolution-Spector- is the result of 14 billion years of hydrogen atom evolution
 
 
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Posted 2012-01-05, 12:00 AM in reply to -Spector-'s post starting "You're all faggots."
And you're the king of us. The king of all faggots.
Skurai
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Posted 2012-01-05, 02:03 AM in reply to Sovereign's post starting "Aahaha. You sat on a scanner and took..."
Sovereign said: [Goto]
Aahaha. You sat on a scanner and took an image of your ass then added color didn't you

No, but interestingly, that's how the Mandelbrot set was originally created.


Boomerang said: [Goto]
I, too, have returned.

That's what you do, isn't it?
"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram
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Posted 2012-01-05, 08:53 AM in reply to Chruser's post starting "No, but interestingly, that's how the..."
That might be correct.
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Posted 2012-01-05, 11:02 AM in reply to Chruser's post starting "No, but interestingly, that's how the..."
Chruser said: [Goto]
That's what you do, isn't it?
I see what you did there.
Skurai
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Posted 2012-05-31, 06:25 AM in reply to Skurai's post starting "I see what you did there."
Sometimes the only solution is to find a new problem.

"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram
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Posted 2012-05-31, 07:01 AM in reply to Chruser's post starting "Sometimes the only solution is to find..."
Black hole?
<script type="text/javascript">alert("remember when scripting attacks worked?");</script>
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Posted 2012-05-31, 01:52 PM in reply to Asamin's post starting "Black hole?"
Asamin said: [Goto]
Black hole?

If enough paths are drawn, it will be. In general (in the mathematical sense of "in every case", not "usually"), all paths cover every point in the plane, and no two paths ever intersect.

Anyway, I didn't find any graphing programs for general systems of ordinary differential equations that would draw more than a small number of (usually unsymmetrical) paths. Since ODEs are pretty cool, I decided to start writing one.

The "black hole" system is described by




A few additional ones that I thought turned out pretty well:









Some lines are broken because it only plots systems in unidirectional time, for now.

Also, the odd helix-shape in the last image is due to a (very small) time dependency, which I didn't introduce into any of the other systems. The greater the time dependency, the more chaotic paths around the stationary point in the vortex become.

Time dependency in ODEs tends to make organized paths "fall apart", which is a kind of neat example of how time and entropy are strongly related, I think.
"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram
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Posted 2012-05-31, 09:57 PM in reply to Chruser's post starting "If enough paths are drawn, it will be...."
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Posted 2012-05-31, 11:46 PM in reply to Sum Yung Guy's post starting "http://upload.wikimedia.org/wikipedia/co..."
Sum Yung Guy said: [Goto]

A 3D projection of a tesseract projected on a 2D plane is always relevant.
"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram
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