Rank: Difference between revisions

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6 bytes added ,  09:07, 29 October 2019
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Text replacement - "</code>" to "</source>"
Miraheze>Adám Brudzewsky
m (Text replacement - "<code>" to "<source lang=apl inline>")
Miraheze>Adám Brudzewsky
m (Text replacement - "</code>" to "</source>")
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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]].''


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 <source lang=apl inline>A</code> is <source lang=apl inline>⍴⍴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 <source lang=apl inline>≢⍴A</code> instead.
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 <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:

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