Rank

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The rank of a noun is the count of its axes. An atom has rank 0, a list rank 1, a table rank 2, and an array with 5 axes has rank 5. The rank of an array is very important and determines in a significant way how verbs act upon it.

The shape of an array is a list with as many numbers as the array has axes. This means that the count of the shape of an array is the rank of the array.

   # $ 4	NB. atom has rank 0
0
   # $ 4 5 6	NB. list has rank 1
1
   # $ 2 3 $ 'a'	NB. table has rank 2
2


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