Less than: Difference between revisions

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== Boolean function ==
== Boolean function ==
{{Main|Boolean function}}
{{Main|Boolean function}}
When the arguments to Equal to are [[Boolean]], it is the [[wikipedia:converse nonimplication|converse nonimplication]] function:
When the arguments to Less than to are [[Boolean]], it is the [[wikipedia:converse nonimplication|converse nonimplication]] function:
{|class=wikitable
{|class=wikitable
!<source lang=apl inline><</source>!!<source lang=apl inline>0</source>!!<source lang=apl inline>1</source>
!<source lang=apl inline><</source>!!<source lang=apl inline>0</source>!!<source lang=apl inline>1</source>

Revision as of 08:43, 29 March 2020

Main article: Comparison function
<

Less than (<) is a comparison function which tests whether the left argument is tolerantly less than and not equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the negation of Greater than or Equal to ().

Less than is also notable as a Boolean function, in which case it returns 1 only if the left argument is 0 and the right argument is 1 (the same as Residue). In particular, Less-than Scan on a Boolean vector returns a vector which indicates the position of the first 1 in the argument, if any:

      <\ 0 0 1 0 0 0 1 0
0 0 1 0 0 0 0 0

Boolean function

Main article: Boolean function

When the arguments to Less than to are Boolean, it is the converse nonimplication function:

< 0 1
0 0 1
1 0 0

In the context of logic, it can be read as isn't, as opposed to.

External links

Documentation


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