Resources discussing rank, in no particular order:

   From the Dictionary:

     Section II.A, noun rank:  
     http://www.jsoftware.com/help/dictionary/dicta.htm

     Section II.B, verb rank:  
     http://www.jsoftware.com/papers/rank.htm

   From the Vocabulary (already mentioned):

     u"n
     http://www.jsoftware.com/help/dictionary/d600v.htm

     m"n
     http://www.jsoftware.com/help/dictionary/d600n.htm

     u"v and m"v:
     http://www.jsoftware.com/help/dictionary/d600xv.htm

   From the Introduction:

     Part 20, rank:   
     http://www.jsoftware.com/help/dictionary/intro20.htm

   From the Studio:

     Rank:
     http://www.jsoftware.com/jwiki/Studio/Rank

   From Papers:

     Rank and Uniformity:
     http://www.jsoftware.com/papers/rank.htm

   From J for C Programmers (already mentioned):

     Chapter 6, Loopless Code I:  Verbs Have Rank
     http://www.jsoftware.com/help/dictionary/d600xv.htm


   From Learning J:

      Chapter 7, Ranks:
      http://www.jsoftware.com/help/learning/07.htm

   From the Wiki:

    Negative Rank essay:
    http://www.jsoftware.com/jwiki/Essays/Negative_Rank?highlight=%28rank%29


I didn't see any labs specific to rank, but I'm sure one or more of them will 
step you through the concept.  And I'm sure there are additional treatments.  
But if you grok all the above, you probably won't need them.  

-Dan
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