"We'll sample a sine wave at 194.18 Hz over 1 second" does not mean that "our x 
axis covers 194.18 radians". It means that our x axis covers 1220 radians.

   194.18*2p1
1220.06892

The trigonometric function  ^0j2p1*  can be written simply  _1^+:  (but alas 
not 1^ even if _1^2 is equal to 1).

If  y  is a rational number then  _1^+:y  is an algebraic number. The 
transcendental numbers  e=.^1  and  pi=.o.1  do not show.




>________________________________
>Fra: David Ward Lambert <[email protected]>
>Til: programming <[email protected]>
>Sendt: 10:13 torsdag den 14. juli 2011 
>Emne: [Jprogramming] Tau =: 2p1
>
>This clip from a recent [email protected] letter begs for the
>turn:
>
>
>NB.  We'll sample a sine wave at 194.18 Hz over 1 second.
>NB.  Or in other words: our x axis covers 194.18 radians,
>NB.  and we'll choose our 8000 sample points from that range:
>
>x =: (194.18 * 2p1) * (%~ i.)  8000
>
>
>
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