Trying to word the question which originally came to mind when I
looked at this problem (converting the "list notation" of a c.f.) to
a decimal value:
How would one go about throwing in the additional "1"s into the
spaces (gaps) of the paling fence..? (There is one less "1" compared
to the number of integers in the "list notation" [if I always write
out the integer part, even if it is "0").
If the two lists I like to "interweave" don't agree in number of
items, I obviously get a lenght error.
] v=. i.4
0 1 2 3
] w=. 3 $ 1
1 1 1
,v ,. w
|length error
| ,v ,.w
Would there be a (similar, slightly modified) way to do this, or does
one need a (very) different approach..?
-M
At 2016-03-11 10:18, you wrote:
To keep students organized in dealing with fractions I sometimes (on
a good day) have them work out intermediate results of continued
fractions like phi = [1; 1, 1, 1, ...] or sqrt(2) = [1; 2, 2, 2,
...]. This example I found at
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html
45/16 = [2; 1, 4, 3] I then went on clumsily, further down using the
"strategy" (as Linda Alford put it): ln=. 2 1 4 3 NB. list
notation (shorthand) ] ip=. {. ln NB. get integer part 2 ]
fp=. }. ln NB. get fractional part 1 4 3 ] nn=. (# fp) $ 1 NB.
produce additional numerators (all 1) 1 1 1 ] fpn=. ,nn
,.fp NB. "interweave" fractional part with added numerators to
yield 1 1 1 4 1 3 ] lne=. ip ,fpn NB. "list notation
(expanded)" value for the Cont. Fraction function 2 1 1 1 4 1
3 cf=. +`% / cf lne 2.8125 ^.^ 45r16 2.8125 -M At
2016-03-11 08:54, you wrote: >Maybe... The new list interweaves the
two original lists. The >"strategy" also applies to lists of
numbers. Linda -----Original >Message----- From:
Programming >[mailto:[email protected]] On
Behalf Of Henry >Rich Sent: Thursday, March 10, 2016 6:58 PM
To: >[email protected] Subject: Re: [Jprogramming]
Interweave >You're right... Now, how would you describe the
order? Would 'index >order" be enough? The Dictionary says "normal
order" and then goes >on to define it. I have looked for years for
the right words. It >has to be short and intuitive - not a
mathematical definition. How >about "in the order in which they
appear in y"? Henry Rich On >3/10/2016 6:30 PM, Nicholas Spies
wrote: > This is perhaps a >quibble, but... > > Looking at the NuVoc
definition of , y Ravel > > >The following statement and the example
directly below it... > >-------- > Produces a
list ><http://code.jsoftware.com/wiki/Vocabulary/AET#List> >
containing >all the atoms >
<http://code.jsoftware.com/wiki/Vocabulary/AET#Atom> >in y, in
order. > > An
atom ><http://code.jsoftware.com/wiki/Vocabulary/AET#Atom> is >
converted >to a 1-atom
list > ><http://code.jsoftware.com/wiki/Vocabulary/AET#List>, a
list > ><http://code.jsoftware.com/wiki/Vocabulary/AET#List> is
left > >unchanged, and any
noun > ><http://code.jsoftware.com/wiki/Vocabulary/AET#Noun> > of
higher >rank <http://code.jsoftware.com/wiki/Vocabulary/AET#Rank>
is > >flattened into a
list > ><http://code.jsoftware.com/wiki/Vocabulary/AET#List> > >
]z=: 0 >10 20 +/ i. NB. sample noun > 0 1 2 3 4 > 10 11 12
13 14 > >20 21 22 23 24 > > ,z > 0 1 2 3 4 10 11 12 13 14 20 21
22 23 >24 > ------------------- > >
...and >also... > > ,'ace',.'bdf' > > abcdef > > > ...give the
first >impression that Ravel puts the items into lexical >
order, > > which >is misleading, as shown by the example 2 under
Common Uses: > > > ]a >=: 4 4 ?@$ 100 > > 89 91 1 24 > > 88 43 43
32 > > 85 84 27 31 > > 10 >11 49 90 > > +/ 50 < , a > > 6 > > ,a > >
89 91 1 24 88 43 43 32 85 >84 27 31 10 11 49 90 > > > Since NuVoc is
targeting new users, the >'in order' statement should. > IMHO,
specify explicitly the order as >being <whatever description is
appropriate>. > > > >Nick > > > > > > > > On Thu, Mar 10, 2016 at
5:48 PM, Roger Hui ><[email protected]> >
wrote: > >> ,'ace',.'bdf' >> >abcdef >> 'ace',@,.'bdf' >>
abcdef >> >> >> On Thu, Mar 10, 2016 >at 2:47 PM, Roger Hui >>
<[email protected]> >> >wrote: >> >>>
,|:'ace',:'bdf' >>> abcdef >>> 'ace'([: , >|:@,:)'bdf' >>>
abcdef >>> >>> >>> On Thu, Mar 10, 2016 at 2:42 PM, >Kip Murray
<[email protected]> >>> wrote: >>> >>>> A quickie -- >how do
you interweave two equal-length lists, so >that >>>> >>>> 'ace'
itw 'bdf' >>>> abcdef >>>> >>>> --Kip >Murray >>>> >>>> >>>> >>>>
-- >>>> Sent from Gmail
Mobile >>>> >--------------------------------------------------------
----------- > > >>> --- For information about J forums
see >>>> >http://www.jsoftware.com/forums.htm >>> >>> >> >-----------
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