http://keiapl.org/anec/#nvv
sin=: 1 o. ]
cos=: 2 o. ]
(^@j. = cos + 0j1 * sin) 1 2 3 0.1j_0.2
1 1 1 1
(^@j. = cos j. sin) 1 2 3 0.1j_0.2
1 1 1 1
The insight that led to the invention of the j. function illustrates what
separate genius from mere mortals. Who would think of inventing a function
whose monad is 0j1*y and whose dyad is x+0j1*y? Too simple.
The above equation is Euler's formula, a special case of which is Euler's
identity, 0 = 1 + ^ 1p1 * 0j1, the most beautiful equation in all of
mathematics. Concerning Euler's identity, let me share with you something
I came across recently:
e raised to the pi times i,
And plus 1 leaves you nought but a sigh,
This fact amazed Euler,
That genius toiler,
And still gives us pause, bye the bye.
—— John Scholes, http://dfns.dyalog.com/n_Euler.htm
On Wed, Jan 15, 2014 at 8:03 PM, Raul Miller <rauldmil...@gmail.com> wrote:
> I think we some simple, evocative fork examples which are not mean.
>
> One possibility is fahrenheit to centigrade conversion:
>
> (5r9 * -&32)
>
> Another might be area of a circle with the given radius:
>
> (2 * o.)
>
> What might some others be? Perhaps a dyadic use of fork could be both
> simple to express and easy to think of as useful?
>
> Thanks,
>
> --
> Raul
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>
----------------------------------------------------------------------
For information about J forums see http://www.jsoftware.com/forums.htm
