thats OK - I understood your meaning. I also enjoyed chasing down the cause
Don
On 8/31/2016 12:38 AM, Martin Kreuzer wrote:
... and my last remark probably deals more with efficiency than
effectiveness -- I sometimes fight for words even in my mother tongue.
-M
At 2016-08-31 06:33, you wrot
... and my last remark probably deals more with efficiency than
effectiveness -- I sometimes fight for words even in my mother tongue.
-M
At 2016-08-31 06:33, you wrote:
Don -
That's been exacly the idea behind what I called "gm1" (taking the
roots first) ...
The Log approach "gm2" however
Don -
That's been exacly the idea behind what I called "gm1" (taking the
roots first) ...
The Log approach "gm2" however proves to be a little bit more effective:
1 timespacex 'gm1 >: ? 6 $~ 2^10'
0.000185607 50816
1 timespacex 'gm2 >: ? 6 $~ 2^10'
0.000110259 42752
-M
At 201
How about this-it fits the definition of "nth root of product of n items"
gmean =: # %: */
(gmean,gm1)>: ? 6 $~ 637
2.98625 2.98625
(gm0,gm1,gm2,gmean)>:?6$~637
2.97123 2.97123 2.97123 2.97123
(gm0,gm1,gm2,gmean) >:?6$~637
_ 3.04854 3.04854 _
(gmean, gm1)s=:>:?6$~638
_ 3.06565
b=: 638 %:
Brian -
This of course depends on _both_ the no of elements and their size
(the smaller the elements, the higher you can go)
(gm0,gm1,gm2) 441#5
5 5 5
(gm0,gm1,gm2) 442#5
_ 5 5
(gm0,gm1,gm2) 396#6
6 6 6
(gm0,gm1,gm2) 397#6
_ 6 6
or, using Raul's argument, it fails at the same ord
Yes:
5^441 442
1.76105e308 _
Thanks,
--
Raul
On Fri, Aug 26, 2016 at 5:38 PM, Brian Schott wrote:
> Martin,
>
> Your examples of gm0 failing are not clear to me because you use random
> data.
> I tried the following nonrandom data, but a sort of random case where the
> number of data value
Martin,
Your examples of gm0 failing are not clear to me because you use random
data.
I tried the following nonrandom data, but a sort of random case where the
number of data values seems to be the issue because for samples of 441 and
less the failure is not present, but is present for 442 and gre
Hi all -
Sharing something I observed ...
While the definitions (for arithmetic and geometric mean)
amean=: +/ % #
and
gmean=: */ %:~ #
are nice to look at as a pair (because of symmetry) I prefer this
definition of geometric mean
gmean=: [: */ # %: ]
or
NB. using the Log domain
