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Nor: Difference between revisions
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{{Built-in|Nor|⍱}} is a [[dyadic]] [[scalar function|scalar]] [[boolean function]] which tests if neither argument is true: it returns 1 if both are 0 and 0 if at least one is 1. It represents Peirce's arrow or [[wikipedia:logical NOR|joint denial]] in Boolean logic. Nor is the [[not|boolean negation]] <syntaxhighlight lang=apl inline>~</ | {{Built-in|Nor|⍱}} is a [[dyadic]] [[scalar function|scalar]] [[boolean function]] which tests if neither argument is true: it returns 1 if both are 0 and 0 if at least one is 1. It represents Peirce's arrow or [[wikipedia:logical NOR|joint denial]] in Boolean logic. Nor is the [[not|boolean negation]] <syntaxhighlight lang=apl inline>~</syntaxhighlight> of the [[Or]] function <syntaxhighlight lang=apl inline>∨</syntaxhighlight>, and so its [[glyph]] is composed from those. However, [[fonts]] vary in how they compose them; some overlaying the glyphs (∨̴), and some stacking them (∨̃). | ||
{|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>1</ | |<syntaxhighlight lang=apl inline>1</syntaxhighlight>||<syntaxhighlight lang=apl inline>0</syntaxhighlight> | ||
|- | |- | ||
!<syntaxhighlight lang=apl inline>1</ | !<syntaxhighlight lang=apl inline>1</syntaxhighlight> | ||
|<syntaxhighlight lang=apl inline>0</ | |<syntaxhighlight lang=apl inline>0</syntaxhighlight>||<syntaxhighlight lang=apl inline>0</syntaxhighlight> | ||
|} | |} | ||
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0 0 1 1 ⍱ 0 1 0 1 | 0 0 1 1 ⍱ 0 1 0 1 | ||
1 0 0 0 | 1 0 0 0 | ||
</ | </syntaxhighlight> | ||
== External links == | == External links == | ||