[Jprogramming] Morning Mystery

[Linda A Alvord]

Rob, No need to stop here.  Keep going...

   1%2+3%4+5%6+7%8+9%10
0.379745

Linda


-----Original Message-----
From: Programming [mailto:programming-bounces at forums.jsoftware.com] On Behalf Of Rob Hodgkinson
Sent: Friday, February 26, 2016 5:18 AM
To: programming at jsoftware.com
Subject: Re: [Jprogramming] Morning Mystery

The gerund form is very elegant for repeated fractions …

   1%2+3%4+5%6+7%8+9
0.38057

  n=:>:i.9
  %`+/n
0.38057

> On 26 Feb 2016, at 5:35 PM, Linda A Alvord <lindaalvord at verizon.net> wrote:
> 
> From these versions, can any be adjusted to apply to other continued fraction like:
> 
> 1%2+3%4+5%6+...... (All counting numbers now)
> 
> $'%/({:,+/)^:(3*4*5)[1 2'
> 22
>   $'%/({:,+/)^:(3*5)1'
> 17
>    $'%`+/(5*6)#1' 
> 11
>   $'%(+%)/15$1' 
> 10
>   $'2%1+%:5'   
> 7
> 
> Linda
> 
> -----Original Message-----
> From: Programming [mailto:programming-bounces at forums.jsoftware.com] On 
> Behalf Of Raul Miller
> Sent: Thursday, February 25, 2016 10:09 PM
> To: Programming forum
> Subject: Re: [Jprogramming] Morning Mystery
> 
> You can put spaces, or [ or ] between those digits, if you like.  For example:
> 
>   2%1+%:5[3[4[6]7]8]9
> 
> But the important part was Peter B Kessler's
> 
> Thanks,
> 
> --
> Raul
> 
> 
> On Thu, Feb 25, 2016 at 8:51 PM, Linda A Alvord <lindaalvord at verizon.net> wrote:
>> 3467899 is not a counting number.
>> 
>> Michal just had a "creative solution".  Yours is another.
>> 
>> Linda
>> 
>> -----Original Message-----
>> From: Programming [mailto:programming-bounces at forums.jsoftware.com] 
>> On Behalf Of Raul Miller
>> Sent: Thursday, February 25, 2016 6:07 PM
>> To: Programming forum
>> Subject: Re: [Jprogramming] Morning Mystery
>> 
>> If the expression needs to use all nine digits:
>> 
>>   2%1+%:5[346789
>> 
>> (Note that Linda did not ask for any 0s).
>> 
>> --
>> Raul
>> 
>> 
>> On Thu, Feb 25, 2016 at 5:58 PM, Michal Wallace 
>> <michal.wallace at gmail.com> wrote:
>>> Using all 10:
>>> 
>>> %(4 3 0 8 1,(7+9))(p. % 6 ^~ ]) 2*5
>>> 
>>> On Thu, Feb 25, 2016 at 2:09 PM, Philip Hunt <philip.hunt at usa.net> wrote:
>>> 
>>>> Like it Peter
>>>> 
>>>> there are so many great formulae for phi...
>>>> 
>>>> 2*1&o.o.1r10
>>>> 0.618034
>>>> similar (but not using ten ; which is not on Linda's list of 
>>>> course)
>>>> _1+2*2&o.o.1r5
>>>> 
>>>> 0.618034
>>>> 
>>>> 
>>>> 
>>>> 
>>>> 
>>>> On 2/25/2016 2:15 PM, Peter B. Kessler wrote:
>>>> 
>>>>> Thanks for noticing the golden ratio, which allows
>>>>> 
>>>>>        2%1+%:5
>>>>>    0.618034
>>>>> 
>>>>> 3 nouns, 3 verbs: 7 characters.
>>>>> 
>>>>>            ... peter
>>>>> 
>>>>> On 02/25/16 01:25 AM, Ben Gorte - CITG wrote:
>>>>> 
>>>>>> I noticed a golden ratio.
>>>>>> 
>>>>>>    %/({:,+/)^:(3*4*5)[1 2   NB. 6, 7, 8 and 9 not needed
>>>>>> 0.618034
>>>>>> 
>>>>>> 22 characters excluding the comment (but then four numbers are 
>>>>>> missing)
>>>>>> 
>>>>>> Ben
>>>>>> ________________________________________
>>>>>> From: Programming [programming-bounces at forums.jsoftware.com] on 
>>>>>> behalf of Linda A Alvord [lindaalvord at verizon.net]
>>>>>> Sent: Thursday, February 25, 2016 08:49
>>>>>> To: programming at jsoftware.com
>>>>>> Subject: [Jprogramming] Morning Mystery
>>>>>> 
>>>>>> Using only the single digit counting numbers:
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>>> :i.9
>>>>>> 
>>>>>> 1 2 3 4 5 6 7 8 9
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>> write the shortest possible expression to produce:
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>> 0.618034
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>> Linxa
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>> l
>>>>>> 
>>>>>> 
>>>>>> 
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