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Talk:Fibonacci sequence/Archive 3

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This is an old revision of this page, as edited by MiszaBot I (talk | contribs) at 06:55, 1 April 2012 (Archiving 2 thread(s) from Talk:Fibonacci number.). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
Archive 1Archive 2Archive 3Archive 4

Citation to Binet's vs. Abraham de Moivre's formula

In paragraph Fibonacci_number#Closed-form_expression citation is needed for disambiguation that closed-form formula was introduces by Abraham de Moivre and not Jacques Philippe Marie Binet. It can be found in the book The_Art_of_Computer_Programming and I think this book should be cited. — Preceding unsigned comment added by Milikicn (talkcontribs) 18:30, 19 August 2011 (UTC)

Simple is best

To initially demonstrate the relationship between the Fibonacci sequence and the Golden Ratio, the Kepler solution is clearly the best. It is the simplest, clearest and most obvious therefore the most elegant solution. The other solutions are definitely worthy of mention but they are needlessly complex answers where a direct answer to a very simple question is already available. The Kepler solution should be the first listed followed by the Binet. Wading through the Binet solution only to find the obvious and to the point Kepler solution leads the reader to conclude that he has stumbled upon an Asperger's self stroking fest rather than an encyclopedia.74.178.137.190 (talk) 11:00, 4 September 2011 (UTC)

Editors here are unlikely to take your suggestions seriously if you cannot express them without throwing in gratuitous playground insults. Gandalf61 (talk) 12:47, 4 September 2011 (UTC)

Identities and combinatorial interpretations

There are two problems with the beginning of the "Identities" section. (1) The first sentence of this section asserts that "Most identities involving Fibonacci numbers draw from combinatorial arguments." This statement sounds subjective; unless reinforced by strong evidence I would remove it. In any case it's irrelevant to the statement of identities. (2) The first identity cannot be proved, as it is the definition. The proper way to handle it is to prove the "interpretation" given (without proof) in the previous section. That should be in a separate section on "Combinatorial interpretations of the Fibonacci numbers". Zaslav (talk) 01:29, 24 October 2011 (UTC)