Less than or Equal to: Difference between revisions
Jump to navigation
Jump to search
(Created page with "{{Main|Comparison function}} {{Built-in|Less than or Equal to|<nowiki>≤</nowiki>}} is a comparison function which tests whether the left argument is Tolerant comp...") |
|||
(5 intermediate revisions by the same user not shown) | |||
Line 2: | Line 2: | ||
{{Built-in|Less than or Equal to|<nowiki>≤</nowiki>}} is a [[comparison function]] which tests whether the left [[argument]] is [[Tolerant comparison|tolerantly]] less than or equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the [[Not|negation]] of [[Less than]] (<source lang=apl inline><</source>), and in fact was called '''Not greater''' in [[APL\360]]. | {{Built-in|Less than or Equal to|<nowiki>≤</nowiki>}} is a [[comparison function]] which tests whether the left [[argument]] is [[Tolerant comparison|tolerantly]] less than or equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the [[Not|negation]] of [[Less than]] (<source lang=apl inline><</source>), and in fact was called '''Not greater''' in [[APL\360]]. | ||
== Boolean function == | |||
{{Main|Boolean function}} | |||
When the arguments to Less than or Equal to are [[Boolean]], it is the [[wikipedia:Material conditional|material implication]] function, also known as the [[wikipedia:IMPLY gate|IMPLY gate]]: | |||
{|class=wikitable | |||
!<source lang=apl inline>≤</source>!!<source lang=apl inline>0</source>!!<source lang=apl inline>1</source> | |||
|- | |||
!<source lang=apl inline>0</source> | |||
|<source lang=apl inline>1</source>||<source lang=apl inline>1</source> | |||
|- | |||
!<source lang=apl inline>1</source> | |||
|<source lang=apl inline>0</source>||<source lang=apl inline>1</source> | |||
|} | |||
In the context of logic, it can be read as ''implies''. | |||
== External links == | == External links == |
Revision as of 08:44, 29 March 2020
- Main article: Comparison function
≤
|
Less than or Equal to (≤
) is a comparison function which tests whether the left argument is tolerantly less than or equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the negation of Less than (<
), and in fact was called Not greater in APL\360.
Boolean function
- Main article: Boolean function
When the arguments to Less than or Equal to are Boolean, it is the material implication function, also known as the IMPLY gate:
≤ |
0 |
1
|
---|---|---|
0
|
1 |
1
|
1
|
0 |
1
|
In the context of logic, it can be read as implies.
External links
Documentation