Difference between revisions of "And"
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m (Text replacement  "http://help.dyalog.com" to "https://help.dyalog.com") 

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=== Documentation ===  === Documentation ===  
−  * [  +  * [https://help.dyalog.com/17.1/#Language/Primitive%20Functions/And%20Lowest%20Common%20Multiple.htm Dyalog] 
* [http://microapl.com/apl_help/ch_020_020_430.htm APLX]  * [http://microapl.com/apl_help/ch_020_020_430.htm APLX]  
* J [https://www.jsoftware.com/help/dictionary/d111.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/stardot#dyadic NuVoc]  * J [https://www.jsoftware.com/help/dictionary/d111.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/stardot#dyadic NuVoc]  
{{APL builtins}}[[Category:Primitive functions]][[Category:Scalar dyadic functions]]  {{APL builtins}}[[Category:Primitive functions]][[Category:Scalar dyadic functions]] 
Latest revision as of 14:30, 14 July 2020
∧

And (∧
) is a dyadic scalar boolean function which tests if both arguments are true: it returns 1 if both are 1 and 0 if one or both are 0. It represents the logical conjunction in Boolean logic. In many APLs, And is a special case of the LCM function.
∧ 
0 
1


0

0 
0

1

0 
1

Examples
The following shows all possible combinations of inputs as a Boolean function.
0 0 1 1 ∧ 0 1 0 1
0 0 0 1
When combined with Reduce, And can be used to test if every value in a Boolean vector is true.
∧/ 1 1 1 1 1
1
∧/ 1 0 0 1 1
0