Monadic function: Difference between revisions
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:''For | :''For [[operator]]s with one operand, see [[Monadic operator]].'' | ||
A '''monadic function''' is a [[function]] with a single [[argument]], written to its right. It is one of three possible function [[valences]]; the other two are [[dyadic]] and [[niladic]]. The term '''prefix function''' is used outside of APL to describe APL's monadic function syntax. | A '''monadic function''' is a [[function]] with a single [[argument]], written to its right. It is one of three possible function [[valences]]; the other two are [[dyadic]] and [[niladic]]. The term '''prefix function''' is used outside of APL to describe APL's monadic function syntax. | ||
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The functions <source lang=apl inline>f</source>, <source lang=apl inline>×⍨</source> ([[Times]] [[Commute]]), and <source lang=apl inline>⍳</source> ([[Iota]]) are each monadic functions: a named [[dfn]], a [[derived function]], and a [[primitive]], respectively. Evaluating them first produces the [[Index|indices]] up to 5, then multiplies each index by itself to square it, then [[Catenate|catenates]] the resulting list to its [[reverse]]. | The functions <source lang=apl inline>f</source>, <source lang=apl inline>×⍨</source> ([[Times]] [[Commute]]), and <source lang=apl inline>⍳</source> ([[Iota]]) are each monadic functions: a named [[dfn]], a [[derived function]], and a [[primitive]], respectively. Evaluating them first produces the [[Index|indices]] up to 5, then multiplies each index by itself to square it, then [[Catenate|catenates]] the resulting list to its [[reverse]]. | ||
{{APL programming language}} | |||