Raul wrote:
> I think the maximal cell would be the entire array?

Maybe.

Or maybe the terminology was introduced to cover degenerate cases*. 

In general, a verb of rank N (as a non-negative integer) can never see a noun 
with rank greater than N, but it is certainly possibly for it to see nouns with 
ranks less than N.

For example, %. (matrix inversion) is rank 2, but also accepts rank-1 arrays 
(vectors) and treats them as degenerate matrices. 

In that case, a “maximal cell” could be intended to convey a cell of exactly 
rank N, a minimal cell would be of rank 0 (i.e. an atom), and a cell that was 
greater than zero but less than N would be non-minimal and non-maximal.

For the sake of completeness, it’s worth saying again that a verb of rank N can 
never see a noun of greater than rank N; rank will chop up the noun before it’s 
ever fed to the verb as input.

-Dan

* I don’t know; I haven’t read the source material. I’m just pointing out the 
possibility.



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