Apologies for my eyes! Happy hunting, Mike Please reply to [email protected]. Sent from my iPad
> On 4 Dec 2018, at 09:59, Linda Alvord <[email protected]> wrote: > > Mike, All I did was apply [:+/\ to two things that were identical. And got > different answers. > > ($|i.6);$|.i.6 > ┌─┬─┐ > │6│6│ > └─┴─┘ > (|^:(i.6)1 1);|.^:(i.6)1 1 > ┌───┬───┐ > │1 1│1 1│ > │1 1│1 1│ > │1 1│1 1│ > │1 1│1 1│ > │1 1│1 1│ > │1 1│1 1│ > └───┴───┘ > (([:+/\|)^:(i.6)1 1);([:+/\|.)^:(i.6)1 1 > ┌───┬────┐ > │1 1│1 1│ > │1 2│1 2│ > │1 3│2 3│ > │1 4│3 5│ > │1 5│5 8│ > │1 6│8 13│ > └───┴────┘ > Linda > > -----Original Message----- > From: Programming <[email protected]> On Behalf Of > 'Mike Day' via Programming > Sent: Tuesday, December 4, 2018 4:04 AM > To: [email protected] > Subject: Re: [Jprogramming] Revisisting the Y combinator > > Does this help? > > <\i.4 > +-+---+-----+-------+ > |0|0 1|0 1 2|0 1 2 3| > +-+---+-----+-------+ > <\.i.4 > +-------+-----+---+-+ > |0 1 2 3|1 2 3|2 3|3| > +-------+-----+---+-+ > <\.|.i.4 > +-------+-----+---+-+ > |3 2 1 0|2 1 0|1 0|0| > +-------+-----+---+-+ > > Mike > > > >> On 04/12/2018 07:50, Linda Alvord wrote: >> Here's the step that I can't understand in the Fibonacci series. How is l >> different from |. ? >> >> ($|i.6)-:$|.i.6 >> 1 >> (|^:(i.6)1 1)-:|.^:(i.6)1 1 >> 1 >> (([:+/\|)^:(i.6)1 1)-:([:+/\|.)^:(i.6)1 1 >> 0 >> >> >> (([:+/\|)^:(i.6)1 1);([:+/\|.)^:(i.6)1 1 ┌───┬────┐ >> │1 1│1 1│ >> │1 2│1 2│ >> │1 3│2 3│ >> │1 4│3 5│ >> │1 5│5 8│ >> │1 6│8 13│ >> └───┴────┘ >> Linda >> >> -----Original Message----- >> From: Programming <[email protected]> On Behalf >> Of lindaalvord >> Sent: Monday, December 3, 2018 11:27 PM >> To: [email protected] >> Subject: Re: [Jprogramming] Revisisting the Y combinator >> >> Sorry, Jose, I didn't look. 55 is the 10th term! >> Linda >> >> >> Sent from my Verizon, Samsung Galaxy smartphone >> -------- Original message --------From: Jose Mario Quintana >> <[email protected]> Date: 12/3/18 8:20 PM (GMT-05:00) >> To: [email protected] Subject: Re: [Jprogramming] Revisisting >> the Y combinator 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 >> <[email protected]> >> 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 <[email protected]> On >>> Behalf Of Jose Mario Quintana >>> Sent: Monday, December 3, 2018 6:18 PM >>> To: [email protected] >>> 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://eur03.safelinks.protection.outlook.com/?url=https%3A%2F%2Fros >>> e >>> ttacode.org%2Fwiki%2FY_combinator&data=02%7C01%7C%7C4673109620904 >>> e >>> 6c73d008d659a0b678%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C63679 >>> 4 >>> 944120539237&sdata=VUhCaXruQBmADyjRuo3MnUsfN9Nt7wtPqv%2F6ky5r9Mw% >>> 3 >>> D&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 >>> <[email protected]> >>> 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://eur03.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww. >>> j >>> software.com%2Fforums.htm&data=02%7C01%7C%7C4673109620904e6c73d00 >>> 8 >>> d659a0b678%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C6367949441205 >>> 3 >>> 9237&sdata=mku3QsP3o%2BJTzZg9Rg37b7udCh0zip0OEecYrU0uBRE%3D&r >>> e >>> served=0 >>> --------------------------------------------------------------------- >>> - >>> For information about J forums see >>> https://eur03.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww. >>> j >>> software.com%2Fforums.htm&data=02%7C01%7C%7C4673109620904e6c73d00 >>> 8 >>> d659a0b678%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C6367949441205 >>> 3 >>> 9237&sdata=mku3QsP3o%2BJTzZg9Rg37b7udCh0zip0OEecYrU0uBRE%3D&r >>> e >>> served=0 >> ---------------------------------------------------------------------- >> For information about J forums see >> https://nam01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.j >> software.com%2Fforums.htm&data=02%7C01%7C%7C54378add6f3f4e854da408 >> d659c77764%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C63679511056638 >> 3816&sdata=wpUO8MOKBTMJD%2FCO9w8ceNw4vmpEQcjIhX7pZKwCSYY%3D&re >> served=0 >> ---------------------------------------------------------------------- >> For information about J forums see >> https://nam01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.j >> software.com%2Fforums.htm&data=02%7C01%7C%7C54378add6f3f4e854da408 >> d659c77764%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C63679511056638 >> 3816&sdata=wpUO8MOKBTMJD%2FCO9w8ceNw4vmpEQcjIhX7pZKwCSYY%3D&re >> served=0 >> ---------------------------------------------------------------------- >> For information about J forums see >> https://nam01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.j >> software.com%2Fforums.htm&data=02%7C01%7C%7C54378add6f3f4e854da408 >> d659c77764%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C63679511056638 >> 3816&sdata=wpUO8MOKBTMJD%2FCO9w8ceNw4vmpEQcjIhX7pZKwCSYY%3D&re >> served=0 > > > --- > This email has been checked for viruses by Avast antivirus software. > https://nam01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.avast.com%2Fantivirus&data=02%7C01%7C%7C54378add6f3f4e854da408d659c77764%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636795110566383816&sdata=REfM9uPCKXJnX71IXQl%2FP7SyW71z0zv1FZw5%2BHlY7n8%3D&reserved=0 > > ---------------------------------------------------------------------- > For information about J forums see > https://nam01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.jsoftware.com%2Fforums.htm&data=02%7C01%7C%7C54378add6f3f4e854da408d659c77764%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636795110566383816&sdata=wpUO8MOKBTMJD%2FCO9w8ceNw4vmpEQcjIhX7pZKwCSYY%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
