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8. Atop Conjunction

The conjunction @ applies to two verbs to produce a verb that is equivalent to applying the first atop the second. For example:
```   TriplePowersOf2=: (3&*)@(2&^)
TriplePowersOf2 0 1 2 3 4
3 6 12 24 48

CubeOfDiff=: (^&3)@-
3 4 5 6 CubeOfDiff 6 5 4 3
_27 _1 1 27

f=: ^@-                    The rightmost function is first applied dyadically
if possible; the second is applied monadically.
5 f 3
7.38906

f 3
0.0497871

g=: -@^
5 g 3
_125

g 3
_20.0855
```
A conjunction, like an adverb, is executed before verbs; the left argument of either is the entire verb phrase that precedes it. Consequently, some (but not all) of the parentheses in the foregoing definitions can be omitted. For example:
```   COD=: ^&3@-
3 4 5 6 COD 6 5 4 3
_27 _1 1 27

TPO2=: 3&*@(2&^)

TPO2 0 1 2 3 4
3 6 12 24 48

tpo2=: 3&*@2&^             An error because the conjunction @ is defined
|domain error                 only for a verb right argument
|   tpo2=:    3&*@2&^
```

Exercises

 8.1 Cover the comments on the right, and state the effects of the programs. Then cover the programs and rewrite them from the English statements: ```mc=: (+/%#)@|: Means of columns of table f=: +/@(^&2) Sum of squares of list g=: %:@f Geometric length of list h=:{&' *'@(

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