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{{Built-in|Not|~}} is a | {{Built-in|Not|~}} is a [[monadic]] [[scalar function]] that returns the [[wikipedia:Negation|logical negation]] of a [[Boolean]] argument—that is, 0 if the argument is 1 and 1 if it is 0. In some languages, such as [[J]], it is extended so that Not <source lang=apl inline>x</source> is equivalent to <source lang=apl inline>1-x</source> while in others, such as [[K]], it is extended so that Not <source lang=apl inline>x</source> is equivalent to <source lang=apl inline>0=x</source>. | ||
== Examples == | == Examples == | ||
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== History == | == History == | ||
[[A Programming Language]] negates arrays using an overbar symbol like <math>\overline{p}</math>, matching a convention sometimes used in mathematics. In [[APL\360]] the current symbol <source lang=apl inline>~</source> was chosen, also due to its use in mathematics. Mathematical usage has arguably diverged from APL in this respect, as the negation of a variable <math>p</math> is now more often written <math>\neg p</math> | [[A Programming Language]] negates arrays using an overbar symbol like <math>\overline{p}</math>, matching a convention sometimes used in mathematics. In [[APL\360]] the current symbol <source lang=apl inline>~</source> was chosen, also due to its use in mathematics. Mathematical usage has arguably diverged from APL in this respect, as the negation of a variable <math>p</math> is now more often written <math>\neg p</math> when a prefix operator is desired. | ||
The arithmetic extension <source lang=apl inline>~x</source> {{←→}} <source lang=apl inline>1-x</source> was introduced to the array langauge family by [[J]]. For arguments in the interval <math>[0,1]</math> this extension may be seen as a probabilistic interpretation of negation. | The arithmetic extension <source lang=apl inline>~x</source> {{←→}} <source lang=apl inline>1-x</source> was introduced to the array langauge family by [[J]]. For arguments in the interval <math>[0,1]</math> this extension may be seen as a probabilistic interpretation of negation. | ||
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| <source lang=apl inline>0≠⍵</source> || [[K]] | | <source lang=apl inline>0≠⍵</source> || [[K]] | ||
|} | |} | ||
== See also == | |||
* [[Negate]] | |||
* [[Nor]] | |||
* [[Nand]] | |||
* [[Not Equal to]] | |||
* [[Not Match]] | |||
== External links == | == External links == | ||
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* J [https://www.jsoftware.com/help/dictionary/d121.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/minusdot NuVoc] | * J [https://www.jsoftware.com/help/dictionary/d121.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/minusdot NuVoc] | ||
{{APL built-ins}} | {{APL built-ins}}[[Category:Primitive functions]][[Category:Scalar monadic functions]] | ||