4,494
edits
Rank: Difference between revisions
Jump to navigation
Jump to search
m
Text replacement - "</source>" to "</syntaxhighlight>"
mNo edit summary |
m (Text replacement - "</source>" to "</syntaxhighlight>") |
||
| Line 1: | Line 1: | ||
:''This page is about array rank, a number associated with every array. For numbers associated with a function specifying its argument rank, see [[function rank]]. For the operator that applies a function at a given rank, see [[Rank (operator)]].'' | :''This page is about array rank, a number associated with every array. For numbers associated with a function specifying its argument rank, see [[function rank]]. For the operator that applies a function at a given rank, see [[Rank (operator)]].'' | ||
In the APL [[array model]], the '''rank''' of an [[array]] is the number of dimensions or [[Axis|axes]] in its structure, or the length of its [[shape]]. The traditional expression for the rank of an array <source lang=apl inline>A</ | In the APL [[array model]], the '''rank''' of an [[array]] is the number of dimensions or [[Axis|axes]] in its structure, or the length of its [[shape]]. The traditional expression for the rank of an array <source lang=apl inline>A</syntaxhighlight> is <source lang=apl inline>⍴⍴A</syntaxhighlight>. Because this expression results in a one-element [[vector]] rather than a [[scalar]], it is idiomatic in languages with a [[Tally]] function to write <source lang=apl inline>≢⍴A</syntaxhighlight> instead. | ||
Arrays are given names based on their rank: | Arrays are given names based on their rank: | ||