Alexandr Batalshikov:
> ^ __j3
> is "limit error" but not zero?
At first I thought this reduced to this (understandable) limit error:
1 o. __
|limit error
| 1 o.__
But it does not. The phrase ^3j__ reduces to that error, but AFAICT
^__j3 is equivalent to:
(^__) * (2 o. 3) + 0 j. 1 o. 3
0
That is, if this model of ^ for complex numbers is correct:
pow_cplx =: 1x1 &$: : (dyad define)
'r i'=. |: +. y * ^. x
NB. (a^b+c) = */a^b c and
NB. (1x1^0 j. a) = (2 o. a) + 0 j. 1 o. a
(^r) * +/ 1 0j1 * 2 1 o./ i
)
Then ^__j3 should indeed be zero:
pow_cplx __j3
0
-Dan
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