You're right! (lousy proofreading.) I'm getting better at reading all your
"slight of hand".

Linda

-----Original Message-----
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Bo Jacoby
Sent: Tuesday, April 22, 2014 2:47 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Logarithmic Mean

Of course you ment to write that a
negative divided by a negative is always a positive. 

Den 21:55 mandag den 21. april 2014 skrev Linda Alvord
<lindaalv...@verizon.net>:
 
That was a good math lesson!  I couldn't believe I hadn't noticed that a
>negative divided by a negative is always a negative. You used some cleveer
>ways of simplifying the expression. I liked how you Went outside the
>parentheses or were "thinking outside the box"
>
>Linda
>
>
>-----Original Message-----
>From: programming-boun...@forums.jsoftware.com
>[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Bo Jacoby
>Sent: Monday, April 21, 2014 7:16 AM
>To: programm...@jsoftware.com
>Subject: Re: [Jprogramming] Logarithmic Mean
>
>Hi Linda. Translating from your version to mine:
>
>   5(13 :'(|x-y)%|(^.x)-^.y')20 NB. Linda's lm3
>10.8202
>   5(13 :'(x-y)%(^.x)-^.y')20 NB. omitting '|' 
>10.8202
>   5*1(13 :'(x-y)%(^.x)-^.y')20%5 NB. homogeneity
>10.8202
>   5*(13 :'(1-y)%(^.1)-^.y')20%5 NB. fix x=1
>10.8202
>   5*(13 :'(<:y)%^.y')20%5 NB. (x%y) = (-x)%-y
>10.8202
>   13 :'(<:y)%^.y' NB. tacit
><: % ^.
>   5*(<:%^.)20%5 NB. check
>10.8202
>   5(13 :'y* (<:%^.) x%y') 20 NB. linearity
>10.8202
>   13 :'y* (<:%^.) x%y' NB. tacit
>] * [: (<: % ^.) %
>   5(] * [: (<: % ^.) %)20 NB. check
>10.8202
>
>
>
>Den 11:17 mandag den 21. april 2014 skrev Linda Alvord
><lindaalv...@verizon.net>:
>
>I should have gone to the original website a lot sooner.  
>>
>>    lm3=: 13 :'(|x-y)%|(^.x)-^.y'
>>   5 lm2 20
>>10.8202
>>  
>>   lm3
>>([: | -) % [: | ([: ^. [) - [: ^. ]
>>  
>>  Now this agrees with Bo's shorter version..
>>
>>Linda 
>>
>>-----Original Message-----
>>From: programming-boun...@forums.jsoftware.com
>>[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Bo Jacoby
>>Sent: Monday, April 21, 2014 12:48 AM
>>To: programm...@jsoftware.com
>>Subject: Re: [Jprogramming] Logarithmic Mean
>>
>>Try this:
>>
>>   l=. 13 : '(<:y)%^.y'
>>   lm=. 13 : 'y*l x%y' f. NB. logarithmic mean
>>   lm
>>] * [: (<: % ^.) %
>>   3 lm 3.000002
>>3
>>   3 lm 3.00002
>>3.00001
>>
>>Thanks. Bo.
>>
>>
>>Den 2:04 mandag den 21. april 2014 skrev Raul Miller
>><rauldmil...@gmail.com>:
>>
>>On Sun, Apr 20, 2014 at 7:08 PM, Henry Rich <henryhr...@nc.rr.com> wrote:
>>>> More exact equality isn't enough - as you can see from the example, it
>>>> calculates a mean of 2.7 when 3 is the right answer.  The problem there
>>is
>>>> roundoff error I expect.
>>>
>>>I doubt the numbers I am working with would have even 10 digits of
>>>accuracy, so I'm actually not too worried.
>>>
>>>Thanks,
>>>
>>>
>>>-- 
>>>Raul
>>>----------------------------------------------------------------------
>>>For information about J forums see http://www.jsoftware.com/forums.htm
>>
>>>
>>>
>>>
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