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Subject: Heat induced thoughts... rss

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除名山 蔵芽戸
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So I'm in yoga this morning and the teacher is counting down something, "3, 2, 1, " he says. This reminded me of a geek shirt I wanted to try to create. A shirt that was a countdown based on mathematical constants that are represented by Greek letters...

π...α...φ...

Pi, Alpha, Phi...

Alpha was the best I could come up with for 2.something. Apparently it is a Feigenbaum constant in chaos theory. I don't actually understand what it means. If anyone has a better 2.something mathematical constant represented by a Greek letter let me know...

Anyways, this got me thinking. If Pi, the circumference of a circle with a diameter of "1," is infinite, then one couldn't ever really walk in a full circle right? just when you thought you got to the end, you would have just a little bit more to go. And then a little bit more, and more, and more...

I know this is incorrect, but I like to think it is.
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Jim Cote
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http://en.wikipedia.org/wiki/Xeno%27s_paradox
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Thomas Eager
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goo Your brain needs more cooldown time, methinks. goo
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Jim Cote
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The Golden Ratio (φ) is about 1.618. Closest to 2 that I know of with a Greek letter besides α.
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Billy McBoatface
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Uh...a constant that is about 2.something?

Hows about one of the two most famous irrational constants in all mathematics?

That is, e
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My head asplode.
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wmshub wrote:
Uh...a constant that is about 2.something?

Hows about one of the two most famous irrational constants in all mathematics?

That is, e


I couldn't tell if that e was greek or not. Maybe if it were glaucous blue...
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col_w
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ekted wrote:


Terry Pratchett wrote:

''S quite simple,' said Xeno. 'Look, let's say this olive stone is the arrow and this, and this-' he cast around aimlessly - 'and this stunned seagull is the tortoise, right? Now, when you fire the arrow it goes from here to the seag - the tortoise, am I right?'
' I suppose so, but-'
'But, by this time the seagu - the tortoise has moved on a bit, hasn't he? Am I right?'
'I suppose so,' said Teppic helplessly. Xeno gave him a look of triumph.
'So the arrow has to go a bit further, doesn't it, to where the tortoise is now. Meanwhile the tortoise has flow - moved on, not much, I'll grant you, but it doesn't have to be much. Am I right? So the arrow has a bit further to go, but the point is that by the time it gets to where the tortoise is now the tortoise isn't there. So, if the tortoise keeps moving, the arrow will never hit it. It'll keep getting closer and closer but never hit it. QED.'
'Are you right?' said Teppic automatically.
'No,' said Ibid coldly. 'There's a dozen tortoise kebabs to prove him wrong. The trouble with my friend here is that he doesn't know the difference between a postulate and a metaphor of human existence. Or a hole in the ground.'
'It didn't hit it yesterday,' snapped Xeno.
'Yes, I was watching. You hardly pulled the string back. I saw you,' said Ibid.
They started to argue again.
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Key Locks
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KSensei wrote:
Anyways, this got me thinking. If Pi, the circumference of a circle with a diameter of "1," is infinite, then one couldn't ever really walk in a full circle right? just when you thought you got to the end, you would have just a little bit more to go. And then a little bit more, and more, and more...

I know this is incorrect, but I like to think it is.

Pi isn't infinite, it's just irrational.

For that matter, it's also transcendental. But it's a finite number.

Now if you wanted to, say, walk a total of Pi feet, and you required yourself to take steps which were of rational length, then yes, you would never finish. But who would want to do that? Irrational numbers are nothing to be scared of. In fact, in a measure-theoretic sense, almost all real numbers are irrational.
 
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I can't handle this. I'm ending it all....


÷0
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Billy McBoatface
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I'm not irrational. I just like pie, that's all.
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