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| Author |
Message |
hong
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Orbits of functions
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Apr 20 00:57 UTC 1996 |
I was wondering if any startling discoveries have been made
about the orbits of functions (meaning the value an iterated
function will approach). Has an orbit of any function
been found to be e^1 or pi, for example?
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| 3 responses total. |
orinoco
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response 1 of 3:
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Apr 20 01:56 UTC 1996 |
Math I am afraid is not my topic of expertise, but from what little math I
have experience in I have noticed an astounding number of uses, in seemingly
irrelevant applications, for those two numbers; so I would not be surprised
if they did appear in this context too
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aruba
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response 2 of 3:
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May 1 06:05 UTC 1996 |
What you describe is the "stable equilibrium point" of a dynamic system,
Bryan. Let's see; I'm sure you could construct a system with an equilibrium
point at e or pi; I'll have to think about how.
Ah, wait, I found one in a book that converges to pi/2:
f(x) = x + cos(x)
Though that may not be what you're looking for.
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orinoco
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response 3 of 3:
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May 2 20:55 UTC 1996 |
wow! new responses.
aruba--I assume this is a sequence where you get n by putting n-1 into the
function, as graphing it results only in a tilted sine wave
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