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{{Main|Comparison function}} | {{Main|Comparison function}} | ||
{{Built-in|Less than|<nowiki><</nowiki>}} is a [[comparison function]] which tests whether the left [[argument]] is [[Tolerant comparison|tolerantly]] less than and not equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the [[Not|negation]] of [[Greater than or Equal to]] (<source lang=apl inline>≥</source>). Less-than [[Scan]], which leaves only the first 1 in | {{Built-in|Less than|<nowiki><</nowiki>}} is a [[comparison function]] which tests whether the left [[argument]] is [[Tolerant comparison|tolerantly]] less than and not equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the [[Not|negation]] of [[Greater than or Equal to]] (<source lang=apl inline>≥</source>). Less-than [[Scan]], which leaves only the first 1 in a [[Boolean]] [[vector]] set<ref>[[Phil Last|Last, Phil]]. [http://archive.vector.org.uk/art10501140 "Boolean Reductions"]. [[Vector Journal]] volume 26, number 1. 2013-09.</ref>, is a notable pattern. | ||
== Boolean function == | == Boolean function == | ||
When the arguments to Less than are [[Boolean]], it is the [[wikipedia:converse nonimplication|converse nonimplication]] [[Boolean function]]: | When the arguments to Less than are [[Boolean]], it is the [[wikipedia:converse nonimplication|converse nonimplication]] [[Boolean function]]: | ||
{|class=wikitable | ::{|class=wikitable | ||
!<source lang=apl inline><</source>!!<source lang=apl inline>0</source>!!<source lang=apl inline>1</source> | !<source lang=apl inline><</source>!!<source lang=apl inline>0</source>!!<source lang=apl inline>1</source> | ||
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=== Documentation === | === Documentation === | ||
* [ | * [https://help.dyalog.com/latest/index.htm#Language/Primitive%20Functions/Less.htm Dyalog] | ||
* [http://microapl.com/apl_help/ch_020_020_290.htm APLX] | * [http://microapl.com/apl_help/ch_020_020_290.htm APLX] | ||
* J [http://www.jsoftware.com/help/dictionary/d010.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/lt#dyadic NuVoc] | * J [http://www.jsoftware.com/help/dictionary/d010.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/lt#dyadic NuVoc] | ||
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== References == | == References == | ||
<references /> | <references /> | ||
{{APL built-ins}} | {{APL built-ins}}[[Category:Primitive functions]][[Category:Comparison functions]] | ||