Difference between revisions of "Imaginary"
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* J [https://www.jsoftware.com/help/dictionary/djdot.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/jdot NuVoc]  * J [https://www.jsoftware.com/help/dictionary/djdot.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/jdot NuVoc]  
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{{APL builtins}}[[Category:Primitive functions]][[Category:Scalar monadic functions]]  {{APL builtins}}[[Category:Primitive functions]][[Category:Scalar monadic functions]] 
Revision as of 01:21, 4 June 2020
⌾

Imaginary (⌾
) is a monadic scalar function which multiplies the argument by the imaginary unit 0J1
. This can be seen as a mapping from a real number to a pure imaginary number (a complex number with the real part of 0). It was added to J as j.
together with initial support for complex numbers, and was adopted in Extended Dyalog APL using the glyph ⌾
as a monadic counterpart of Complex. In other APL implementations that support complex numbers, Circular with the left argument of ¯11
has the same functionality as Imaginary.
Examples
⌾ 3 ¯4 6
0J3 0J¯4 0J6
Works in: Extended Dyalog APL
Imaginary is equivalent to Complex with the default left argument of 0.
0 ⌾ 3 ¯4 6
0J3 0J¯4 0J6
Works in: Extended Dyalog APL
Documentation
 J Dictionary, NuVoc