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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 [[ | A '''monadic function''' is a [[function]] with a single [[argument]], written to its right. It is one of three possible function [[valence]]s; the other two are [[dyadic]] and [[niladic]]. The term '''prefix function''' is used outside of APL to describe APL's monadic function syntax. | ||
In APL, a single function can be both monadic and dyadic; such a function is called [[ambivalent]] or sometimes variadic. Function pages on the APL Wiki usually only describe one valence of an ambivalent function because the connection between the two may not be consistent across languages. In this case the function is described as monadic even though it may only be half of an ambivalent function. | In APL, a single function can be both monadic and dyadic; such a function is called [[ambivalent]] or sometimes variadic. Function pages on the APL Wiki usually only describe one valence of an ambivalent function because the connection between the two may not be consistent across languages. In this case the function is described as monadic even though it may only be half of an ambivalent function. | ||
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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 [[ | 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]]s the resulting list to its [[reverse]]. | ||
== External links == | |||
* [http://wiki.nars2000.org/index.php/Monadic NARS2000] | |||
{{APL syntax}}[[Category:Kinds of functions]] | |||