FYI:  In J7.01 the monad ^...@j. is supported by special code,
so that:

   ^...@o. 0 j. 0.5 * i. 3 4
1 0j1 _1 0j_1
1 0j1 _1 0j_1
1 0j1 _1 0j_1

   ^...@o. 0 j. 2e9 + 0.5 * i. 3 4
1 0j1 _1 0j_1
1 0j1 _1 0j_1
1 0j1 _1 0j_1



----- Original Message -----
From: DIETER ENSSLEN <[email protected]>
Date: Tuesday, January 19, 2010 13:51
Subject: [Jchat] J and CAS, and problems in CAS
To: chat forum <[email protected]>

> CAS  computer algebra systems
> 
> e^(pi *i)+ 1   actually equals  a nice zero, yes it is nice
> OK  OK  OK
> 
> I do look forward to more of CAS in J.
> 
> But there lurk problems in that world, too:
> The world's most powerful and best graphing calculator, the TI 
> Nspire cas evaluates the integral from -1 to 1 of 1/sqrt(1-x^2) 
>  nicely as 'pi' in symbol form.
> 
> then if you ask for the approximation of that 'pi' you get a 
> number that is different from the regular 'pi' by two 
> significant digits?!   ..5862   vs   ..5898 , the last figures 
> to 14 places. A difference of  -3.6e-12.  J gives   ..5897 931.
> 
> this must make sense to some or many of you. Good luck in the 
> move towards 'cas'
> 
> by the way, this my computer does not let me type TI-Nspire 
> followed with the capital letters CAS without dropping the line 
> again and again and again. This too must make sense to several 
> of you.
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