i: is not restricted to Gaussian integers:
i: 1p1 j. 1000
_3.14159 _3.13531 ...
1p1j1000 is not what you think it is (not what I thought it was either):
1p1j1000
1.16714j2.91674
1p1 ^ 1j1000
1.16714j2.91674
We'd better get Martin's Constants page finished!
(1&o.@*:) is not in the domain of d., but I wouldn't call that a'd.
issue' - there is no closed-form integral for this function.
Henry Rich
On 7/20/2017 2:16 AM, Raul Miller wrote:
load'plot'
plot ((2&o.@*:t.i.100)&p.d._1;(1&o.@*:t.i.100)&p.d._1) 1p1*i:1j1000
This has two domain error workarounds which might interest people.
First, i:1p1j1000 does not work, but 1p1*i:1j1000 does. In other
words, i: has a gaussian integer domain (perhaps because that is
simpler to document) even though it might make sense to allow the real
part to be non-intger when the complex part is non-zero.
Second, expressions such as 1&o.@*:d._1 do not work, but
(1&o.@*:t.i.100)&p.d._1 does. In other words taylor series polynomials
can sometimes be a workaround for d. domain issues.
(Finally, note that plot ;/|:+.(^@j.@*:t.i.100)&p.d._1] 1p1*i:1j1000
gives a similar plot, but that transform is quirky for me to explain.)
Thanks,
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