Compose: Difference between revisions
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m (moved Composition to Compose: Originally mis-named -- need to distinguish from {dieresiscircle} (Composition)) |
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* The derived function from the form <apll><i>a</i>∘<i>b</i></apll> always signals a <apll>SYNTAX ERROR</apll>. | * The derived function from the form <apll><i>a</i>∘<i>b</i></apll> always signals a <apll>SYNTAX ERROR</apll>. | ||
<p> | |||
Compose can be useful for function assignment (but enclosing parentheses are necessary). | |||
<br/> | |||
For example<br/> | |||
<apll> | |||
p1←(1∘+¯2∘π) ⍝ 1 more than the Nth prime number<br/> | |||
p1 ⍳9<br/> | |||
3 4 6 8 12 14 18 20 24 | |||
</apll> | |||
Revision as of 13:56, 1 December 2016
In the following descriptions, f and g represent functions and a and b represent variables.
- The form f∘g may be used both monadically and dyadically.
- Monadic: Z←f∘gR is identical to Z←fgR.
- Dyadic: Z←Lf∘gR is identical to Z←LfgR.
- The form f∘b may be used monadically only.
- Monadic: Z←(f∘b) R is identical to Z←R f b.
- Note that parentheses are required around the function to avoid interpreting b R as a strand.
- The form a∘g may be used monadically only.
- Monadic: Z←a∘gR is identical to Z←a g R.
- The derived function from the form a∘b always signals a SYNTAX ERROR.
Compose can be useful for function assignment (but enclosing parentheses are necessary).
For example
p1←(1∘+¯2∘π) ⍝ 1 more than the Nth prime number
p1 ⍳9
3 4 6 8 12 14 18 20 24
