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{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>1</syntaxhighlight>  
    
!<  !<syntaxhighlight lang=apl inline>1</syntaxhighlight>  
<  <syntaxhighlight lang=apl inline>1</syntaxhighlight><syntaxhighlight lang=apl inline>1</syntaxhighlight>  
}  }  
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The following shows all possible combinations of inputs as a Boolean function.  The following shows all possible combinations of inputs as a Boolean function.  
<  <syntaxhighlight lang=apl>  
0 0 1 1 ∨ 0 1 0 1  0 0 1 1 ∨ 0 1 0 1  
0 1 1 1  0 1 1 1  
</  </syntaxhighlight>  
When combined with [[Reduce]], Or can be used to test if some value in a Boolean vector is true.  When combined with [[Reduce]], Or can be used to test if some value in a Boolean vector is true.  
<  <syntaxhighlight lang=apl>  
∨/ 0 0 1 0 1  ∨/ 0 0 1 0 1  
1  1  
∨/ 0 0 0 0 0  ∨/ 0 0 0 0 0  
0  0  
</  </syntaxhighlight>  
== See also ==  == See also ==  
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* [[Union]]  * [[Union]]  
* [[Nor]]  * [[Nor]]  
* [[And]]  
== External links ==  == External links ==  
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=== Documentation ===  === Documentation ===  
* [  * [https://help.dyalog.com/17.1/#Language/Primitive%20Functions/Or%20Greatest%20Common%20Divisor.htm Dyalog]  
* [http://microapl.com/apl_help/ch_020_020_420.htm APLX]  * [http://microapl.com/apl_help/ch_020_020_420.htm APLX]  
* J [https://www.jsoftware.com/help/dictionary/d101.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/plusdot#dyadic NuVoc]  * J [https://www.jsoftware.com/help/dictionary/d101.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/plusdot#dyadic NuVoc]  
* [https://mlochbaum.github.io/BQN/doc/logic.html BQN]  
{{APL builtins}}[[Category:Primitive functions]][[Category:Scalar dyadic functions]]  {{APL builtins}}[[Category:Primitive functions]][[Category:Scalar dyadic functions]] 
Latest revision as of 22:25, 10 September 2022
∨

Or (∨
) is a dyadic scalar boolean function which tests if at least one of the two arguments is true: it returns 1 if at least one side is 1 and 0 if both are 0. It represents the logical disjunction in Boolean logic. In many APLs, Or is a special case of the GCD function.
∨ 
0 
1


0

0 
1

1

1 
1

Examples
The following shows all possible combinations of inputs as a Boolean function.
0 0 1 1 ∨ 0 1 0 1
0 1 1 1
When combined with Reduce, Or can be used to test if some value in a Boolean vector is true.
∨/ 0 0 1 0 1
1
∨/ 0 0 0 0 0
0
See also
External links
Documentation
 Dyalog
 APLX
 J Dictionary, NuVoc
 BQN