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https://issues.apache.org/jira/browse/ARROW-15223?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17471905#comment-17471905
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Eduardo Ponce commented on ARROW-15223:
---------------------------------------

Ahh, now I understand your point. So basically any logical kernel where there 
is a duality based on negation, should only have the positive kernel 
implementation and allow the use of composition for its complement. Then if 
this is the case, the description of {{between}} could maybe state how to 
obtain its complement to be clear to the user.

I am ok with this approach. I simply created this issue based on the assumption 
of {{{}equal/not_equal{}}}. Should I close this issue then?

> [C++] Implement Not Between ternary kernel
> ------------------------------------------
>
>                 Key: ARROW-15223
>                 URL: https://issues.apache.org/jira/browse/ARROW-15223
>             Project: Apache Arrow
>          Issue Type: New Feature
>          Components: C++
>            Reporter: Eduardo Ponce
>            Priority: Major
>              Labels: good-first-issue
>             Fix For: 8.0.0
>
>
> Add a specialized {{not_between(arr, left_bound, right_bound)}} kernel 
> analogous to {{between()}} in ARROW-9843.



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