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A few more primitives

The monad i. (integers) result is the list of integers from 0 up to its right argument.

   i. 2
0 1

   i. 4
0 1 2 3 

   i. 6
0 1 2 3 4 5

The dyad $ is called shape.

   5 $ 7	NB. a list of 5 7's
7 7 7 7 7
   8 $ 23	NB. a list of 8 23's
23 23 23 23 23 23 23 23

The monad ? (roll) generates a random number in the range 0 up to 1 less than the argument. The answers vary depending on how the die rolls.

   ? 10
6

   ? 10
0
   ? 10 10 10 10	NB. 4 numbers in range 0 to 9
3 0 4 6

   ? 5 $ 100	NB. 5 numbers in range 0 to 99	
58 93 84 52 9

   ? i. 5
�domain error
�       ?i.5

The ? i. 5 fails because the ? on 0 fails because there are no integers in the range 0 to _1 and so there is no answer for the argument of 0. If you add 1 to the result of i. we will get an answer.

   ? 1 + i. 20
0 1 0 1 0 3 3 2 2 4 7 3 0 13 1 5 16 6 3 19

The dyad ^ (power) result is the left argument multiplied by itself the number of times given by the right argument.

   3 ^ 2	NB. 3 * 3
9

   2 ^  3	NB. 2 * 2 * 2
8

   2 ^ 4	NB. 2 * 2 * 2 * 2
16

   2 2 2 2 2 2 ^ 0 1 2 3 4 5
1 2 4 8 16 32

   2 ^ 0 1 2 3 4 5
1 2 4 8 16 32

   2 ^ i. 6
1 2 4 8 16 32

The dyad o. (circle) is the letter o inflected with a dot, and it provides the circular (trigonometric) functions. In particular, the o. verb with a left argument of 1 gives the sine of the right argument.

   1 o. i.7   
0 0.841471 0.909297 0.14112 _0.756802 _0.958924 _0.279415 

It is hard to tell whether this makes sense or not and it would be better to see this data with a plot.


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