>>  <<  Ndx  Usr  Pri  Phr  Dic  Rel  Voc  !:  wd  Help  Dictionary

24. Trains

The train of nouns in the English phrase Ontario museum Egyptian collection represents a single noun. Similarly, the fork discussed in Section 5 and its exercises permit the use of arbitrarily long trains of verbs to produce a verb.

Section 15 introduced the use of trains of adverbs, and of conjunctions together with nouns or verbs, to represent adverbs. Conjunctions may also be produced by trains of adverbs and conjunctions in a manner analogous to forks.

For example, the case diagrammed on the right below can be used as follows:
   cj=:\@\

   < cj (+/) a=:i.3 3                   c
+-----+-----+-------+                  / \
|0 1 2|0 1 2|0  1  2|                 a1 a2
|     |3 5 7|3  5  7|                 |   |
|     |     |9 12 15|                 x   y
+-----+-----+-------+

   (<\)@(+/\) a                          (*/) cj (+/) a
+-----+-----+-------+                 0  1   2
|0 1 2|0 1 2|0  1  2|                 0  5  14
|     |3 5 7|3  5  7|                 0 60 210
|     |     |9 12 15|
+-----+-----+-------+
The explicit form of defining conjunctions treated in the exercises of Section 18 can be used to produce an equivalent conjunction CJ as shown below. The corresponding tacit definition is produced by 12 : s :
   s=: 0 : 0
(x.\)@(y.\)
)

   CJ=: 2 : s
   (*/) CJ (+/) a
0  1   2
0  5  14
0 60 210

   12 : s
\ @ \

Exercises

24.1   Use the display of 12 : s as a guide in defining an equivalent conjunction C , and compare the resulting definition with the simpler definition used for cj .



>>  <<  Ndx  Usr  Pri  Phr  Dic  Rel  Voc  !:  wd  Help  Dictionary