Linda, Please check the Rosetta Code page, I did not produce the Fibonacci sequence, I just showed
FIB Y 10 55 and almost everybody there agrees (and apparently so did Binet and de Moivre). Raul showed the sequence 0 1 1 2 ... and he was not the only one. Personally, I have no problem at all with that given the context. I hope it helps On Mon, Dec 3, 2018 at 7:30 PM Linda Alvord <lindaalvor...@outlook.com> wrote: > Jose, If you look up the derivation of the fibonnaci series was developed > you will find 1 1 2 3 5 . . . > > I think it should be left out of an example of the Y form. Or, maybe it > can be modified to come out correctly. > > I do have a way to generate the correcg formula and feel mathematicians > will be more comfortable with that. > > > Linda > > > > -----Original Message----- > From: Programming <programming-boun...@forums.jsoftware.com> On Behalf Of > Jose Mario Quintana > Sent: Monday, December 3, 2018 6:18 PM > To: programm...@jsoftware.com > Subject: Re: [Jprogramming] Revisisting the Y combinator > > Linda, > > The choice to start the Fibonacci sequence at 0 is to conform with some of > the other answers at the Rosetta Code page, > > Y combinator > > https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Frosettacode.org%2Fwiki%2FY_combinator&data=02%7C01%7C%7Cd5f47a327c0443363f9908d65975a77c%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636794759195093996&sdata=%2Fe4zXDMvVTrntKNbwZGp8rgnvkS2CZF%2FbTEq5tauOwc%3D&reserved=0 > > Most people start numbering items at 1 and when producing a function (Fib) > for the Fibonacci sequence the correspondence is, > > 1 2 3 4 5 6 7 8 9 10 ... > 1 1 2 3 5 8 13 21 34 55 ... > > Some of us, and J, start numbering items at 0. So we can use the > correspondence, > > 0 1 2 3 4 5 6 7 8 9 10 ... > 0 1 1 2 3 5 8 13 21 34 55 ... > > So, either way, Fib(10) is 55 and we all agree even if we disagree. > > (Apparently, the Fibonacci function can be extended to the complex plane > and beyond using, the so-called, Binet's formula.) > > I hope it helps > > > On Thu, Nov 29, 2018 at 10:40 PM Linda Alvord <lindaalvor...@outlook.com> > wrote: > > > Jose, Somehow this surprised me. > > > > Y=: ($:`)(`:6) > > N=: 1 :'(u@:<:@:<: + u@:<:)^:(1 < ])' > > P=: (5!:1)<'N' > > P Y("0) i.11 > > 0 1 1 2 3 5 8 13 21 34 55 > > > > Y > > ($:`)(`:6) > > N > > 1 : '(u@:<:@:<: + u@:<:)^:(1 < ])' > > P > > ┌────────────────────────────────────────────┐ > > │┌─┬────────────────────────────────────────┐│ > > ││:│┌─────┬────────────────────────────────┐││ > > ││ ││┌─┬─┐│┌─┬────────────────────────────┐│││ > > ││ │││0│1│││0│(u@:<:@:<: + u@:<:)^:(1 < ])││││ ││ > > ││└─┴─┘│└─┴────────────────────────────┘│││ > > ││ │└─────┴────────────────────────────────┘││ > > │└─┴────────────────────────────────────────┘│ > > └────────────────────────────────────────────┘ > > > > > > Linda > > > > > > > ---------------------------------------------------------------------- > For information about J forums see > https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.jsoftware.com%2Fforums.htm&data=02%7C01%7C%7Cd5f47a327c0443363f9908d65975a77c%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636794759195093996&sdata=lCxvmrsNHIVIwirWR2FFzynosiAI4mdoYkANIdHSg0Q%3D&reserved=0 > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
