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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]] (<syntaxhighlight lang=apl inline>≤</ | {{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 Greater than are [[Boolean]], it is the [[wikipedia:material nonimplication|material nonimplication]] [[Boolean function]], also known as the [[wikipedia:NIMPLY gate|NIMPLY gate]]: | ||
::{|class=wikitable | ::{|class=wikitable | ||
!<syntaxhighlight lang=apl inline>></ | !<syntaxhighlight lang=apl inline>></syntaxhighlight>!!<syntaxhighlight lang=apl inline>0</syntaxhighlight>!!<syntaxhighlight lang=apl inline>1</syntaxhighlight> | ||
|- | |- | ||
!<syntaxhighlight lang=apl inline>0</ | !<syntaxhighlight lang=apl inline>0</syntaxhighlight> | ||
|<syntaxhighlight lang=apl inline>0</ | |<syntaxhighlight lang=apl inline>0</syntaxhighlight>||<syntaxhighlight lang=apl inline>0</syntaxhighlight> | ||
|- | |- | ||
!<syntaxhighlight lang=apl inline>1</ | !<syntaxhighlight lang=apl inline>1</syntaxhighlight> | ||
|<syntaxhighlight lang=apl inline>1</ | |<syntaxhighlight lang=apl inline>1</syntaxhighlight>||<syntaxhighlight lang=apl inline>0</syntaxhighlight> | ||
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In the context of logic, it can be read as ''but not''. | In the context of logic, it can be read as ''but not''. |