Rank: Difference between revisions
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Miraheze>Adám Brudzewsky m (Text replacement - "</code>" to "</source>") |
Miraheze>Marshall mNo edit summary |
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:''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</source> is <source lang=apl inline>⍴⍴A</source>. 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</source> instead. | |||
Arrays are given names based on their rank: | Arrays are given names based on their rank: | ||
{| | {|class=wikitable | ||
! Rank !! Name | ! Rank !! Name | ||
|- | |- | ||