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{{Main|Comparison function}} | {{Main|Comparison function}} | ||
{{Built-in|Greater than|<nowiki>></nowiki>}} is a [[comparison function]] which tests whether the left [[argument]] is [[Tolerant comparison|tolerantly]] greater than and not equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the [[Not|negation]] of [[Less than or Equal to]] (< | {{Built-in|Greater than|<nowiki>></nowiki>}} is a [[comparison function]] which tests whether the left [[argument]] is [[Tolerant comparison|tolerantly]] greater than and not equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the [[Not|negation]] of [[Less than or Equal to]] (<syntaxhighlight lang=apl inline>≤</syntaxhighlight>). | ||
== Boolean function == | == Boolean function == | ||
When the arguments to Greater than are [[Boolean]], it is the [[wikipedia:material nonimplication|material nonimplication]] [[Boolean function]], also known as the [[wikipedia:NIMPLY gate|NIMPLY gate]]: | |||
When the arguments to | ::{|class=wikitable | ||
{|class=wikitable | !<syntaxhighlight lang=apl inline>></syntaxhighlight>!!<syntaxhighlight lang=apl inline>0</syntaxhighlight>!!<syntaxhighlight lang=apl inline>1</syntaxhighlight> | ||
!< | |||
|- | |- | ||
!< | !<syntaxhighlight lang=apl inline>0</syntaxhighlight> | ||
|< | |<syntaxhighlight lang=apl inline>0</syntaxhighlight>||<syntaxhighlight lang=apl inline>0</syntaxhighlight> | ||
|- | |- | ||
!< | !<syntaxhighlight lang=apl inline>1</syntaxhighlight> | ||
|< | |<syntaxhighlight lang=apl inline>1</syntaxhighlight>||<syntaxhighlight lang=apl inline>0</syntaxhighlight> | ||
|} | |} | ||
In the context of logic, it can be read as ''but not''. | In the context of logic, it can be read as ''but not''. | ||
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=== Documentation === | === Documentation === | ||
* [ | * [https://help.dyalog.com/latest/index.htm#Language/Primitive%20Functions/Greater.htm Dyalog] | ||
* [http://microapl.com/apl_help/ch_020_020_330.htm APLX] | * [http://microapl.com/apl_help/ch_020_020_330.htm APLX] | ||
* J [http://www.jsoftware.com/help/dictionary/d020.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/gt#dyadic NuVoc] | * J [http://www.jsoftware.com/help/dictionary/d020.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/gt#dyadic NuVoc] | ||
* [https://mlochbaum.github.io/BQN/doc/arithmetic.html#comparisons BQN] | |||
{{APL built-ins}} | {{APL built-ins}}[[Category:Primitive functions]][[Category:Comparison functions]] | ||