k-cell

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A cell of rank k is also called a rank-k cell or k-cell. A 0-cell is an atom, a 1-cell is a list, a 2-cell is a table, and so on. If the rank of the cells of a noun is given, then the frame is whatever is left over of the shape of the noun.

Negative numbers are also used, as in _2-cell and _1-cell; the frames of such cells have length indicated by the magnitude of the numbers. You have seen _1-cells before: they are items.

  abc =. 4 3 2 $ i. 24

The noun abc can be thought of as:

• 4 3 2 frame of 0-cells
  
  
• 4 3 frame of 1-cells
  
  
• 4 frame of 2-cells
  
  
• empty frame of a 3-cell
  
  

A more general way of phrasing this is:

• rank 3 frame of 0-cells
  
  
• rank 2 frame of 1-cells
  
  
• rank 1 frame of 2-cells
  
  
• rank 0 frame of a 3-cell
  

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