Rank: Difference between revisions

Jump to navigation Jump to search
170 bytes added ,  08:21, 18 February 2021
m
no edit summary
Miraheze>Adám Brudzewsky
No edit summary
mNo edit summary
(11 intermediate revisions by 5 users not shown)
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)]].''


The rank of an array is the number of dimensions in its structure, or, in APL terms, the length of its [[shape]]. The traditional expression for the rank of an array <code>A</code> is <code>⍴⍴A</code>. Because this expression results in a one-element [[vector]] rather than a [[scalar]], it is idiomatic in languages with a [[Tally]] function to write <code>≢⍴A</code> instead.
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
|-
|-
Line 18: Line 18:
== External Links ==
== External Links ==


[https://en.wikipedia.org/wiki/Rank_(computer_programming) Wikipedia]
* [[wikipedia:Rank (computer programming)|Rank (computer programming)]]
{{APL features}}[[Category:Array characteristics]]

Navigation menu