Re^2: fibonacci numbers using subroutine?

Fibonacci has been studied a lot and has many (surprising) applications like in trading (finance)!

I don't suppose you have any references to those uses?

Aside from those exploring the purely theoretical properties of Fib, does anyone use anything much beyond say fib(1000)?:

4346655768693745643568852767504062580256466051737178040248172908953655
+541794905189040387984007925516929592259308032263477520968962323987332
+247116164299644090653318793829896964992851600370447613779516684922887
+5
[download]

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.

"Science is about questioning the status quo. Questioning authority".

In the absence of evidence, opinion is indistinguishable from prejudice.

RIP an inspiration; A true Folk's Guy

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Re^3: fibonacci numbers using subroutine? by dHarry (Abbot) on Aug 20, 2010 at 11:40 UTC
Not really, but the following list gives an idea: petals on a flower, leaves, branching plants, Fibonacci spiral (e.g. Cauliflour), Music, Phi (golden ratio), the human body, finance (mainly for traders, like for example retracement), etc. There several books on the application of Fibonacci. I think for most practical purposes the number is big enough!	[reply]
Re^4: fibonacci numbers using subroutine? by BrowserUk (Patriarch) on Aug 20, 2010 at 12:06 UTC
Thank you the retracement link. I was aware of the link to the Golden Ratio and many of places in the natural world and artistic endeavours where it crops up. As a teenager I was fascinated by the GR for several years. I wrote my first recursive Fib routine when I was 15 in an interpreted assembler-like teaching language called BBCX (that was itself implemented in an interpreted BASIC and ran on a TOPS-20 mainframe at a Uni miles away). Runtime was strictly limited, so I had to get special permission to have the program run over a weekend in order for it to calculate the first 23 terms (16-bit signed integer limit). I don't remember how many hours it ran, but it was a looong time. Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error. "Science is about questioning the status quo. Questioning authority". In the absence of evidence, opinion is indistinguishable from prejudice. RIP an inspiration; A true Folk's Guy	[reply]