Last edited on 2000-06-13 16:18:10 by stolfi.

Core/Mantle Distribution (III)

The table below shows the distribution of core/mantle strings. For simplicity, all gallows letters were mapped to #, the group sh was mapped to ch, and intruding circles a o y were deleted. Isolated e after the gallows were considered to be part of it and subsumed by the # marker. Likewirse, the sequence eee after a gallows letter was parsed as e.ee, and the first e was subsumed by the #.

The entries are ordered by the concatenation of prefix and suffix, as if the gallows had been inserted into the mantle. The ordering of the entries also assumes thateke is closely related to kee, while the platform gallows ckh is intrinsically different from kch and chk.

    without platform                   with platform              
  -------------------------------  -------------------------------
   7980 0.34035 .......#.........    737 0.04310 ......c#h........
                                 
     64 0.00287 ......e#.........      3 0.00018 .....ec#h........
                                     295 0.01725 ......c#he.......
                                 
   2528 0.13678 .......#ee.......     44 0.00257 ......c#hee......
      3 0.00018 .....ee#.........      3 0.00018 ....eec#h........
                                 
   1699 0.09421 .......#ch.......      8 0.00047 ......c#hch......
    596 0.02936 .....ch#.........    514 0.03006 ....chc#h........
                                 
   1142 0.06444 .......#che......      0 0.00000 ......c#hche.....
                                     126 0.00737 ....chc#he.......
    424 0.02076 ....che#.........    183 0.01070 ...chec#h........
                                 
                                       2 0.00012 ......c#heee.....
     14 0.00082 ......e#ee.......
                                       2 0.00012 ....eec#he.......
      2 0.00012 ....eee#.........
                                 
     12 0.00070 ......e#ch.......
      0 0.00000 ....ech#.........
                                 
     11 0.00064 .......#chch.....
    147 0.00842 .....ch#ch.......      1 0.00006 ....chc#hch......
      2 0.00012 ...chch#.........
                                 
    107 0.00591 .......#chee.....
     70 0.00374 .....ch#ee.......      2 0.00012 ....chc#hee......
                                      45 0.00263 ...chec#he.......
    100 0.00515 ...chee#.........      4 0.00023 ..cheec#h........
                                 
      4 0.00023 ......e#che......
                                 
     27 0.00158 .......#eech.....
      0 0.00000 .....ee#ch.......
                                 
      4 0.00023 .......#eeee.....
      2 0.00012 .....ee#ee.......
      0 0.00000 ...eeee#.........
                                 
      2 0.00012 .......#cheee....
     37 0.00205 ....che#ee.......      1 0.00006 ...chec#hee......
                                       3 0.00018 ..cheec#he.......
      4 0.00023 ..cheee#.........
                                 
      6 0.00035 .......#eeche....
      0 0.00000 .....ee#che......
      0 0.00000 ..eeche#.........
                                 
      1 0.00006 .......#chche....
     36 0.00211 .....ch#che......
      2 0.00012 ..chche#.........
                                 
      6 0.00035 .......#chech....
     51 0.00298 ....che#ch.......
      0 0.00000 ..chech#.........
                                 
      5 0.00029 .....ch#chee.....
                                 
      2 0.00012 .....ch#chch.....
                                 
     11 0.00064 ...chee#ee.......      1 0.00006 ..cheec#hee......
                                 
     18 0.00105 ....che#che......
                                 
      2 0.00012 ....che#chee.....
                                 
      5 0.00029 ...chee#ch.......
                                 
      2 0.00012 ...chee#che......

      2 0.00012 ..cheee#ch.......