Alas,
1x0j1p1
ill-formed number
... the hope that was inspired to some uses ^:_1 I first saw here is dashed.
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|\/| Randy A MacDonald | APL: If you can say it, it's done.. (ram)
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----- Original Message -----
From: "dly" <[EMAIL PROTECTED]>
To: "General forum" <[email protected]>
Sent: Saturday, June 17, 2006 10:38 AM
Subject: Re: [Jgeneral] on finally remembering Euler's identity
much nicer
Donna
[EMAIL PROTECTED]
On 17-Jun-06, at 1:36 PM, Henry Rich wrote:
Or
1+1x1^0j1p1
0
Henry Rich
-----Original Message-----
From: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] On Behalf Of dly
Sent: Saturday, June 17, 2006 9:30 AM
To: General forum
Subject: [Jgeneral] on finally remembering Euler's identity
(1x1)^1p1*0j1
_1
So in J
1x1 is e or 1 e to the power of 1
1p1 is ∏ or 1 ∏ to the power of 1
and
1j1 is 1+i and 0j1 is not 0 j to the power of 1 but 0 + 1 j
(in other
words while i is used to represent the constant "Square Root of -1"
XjY is the complex number X + jY
so you can easily express Euler's identity
0 = 1+e to the power of i times ∏ in J as the constant 1x1 to the
power of the constant 1p1 times the complex number 0j1
0=1+(1x1)^1p1*0j1
1
which is true
Donna
[EMAIL PROTECTED]
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