174 E. LANCASTER JONES 
TABLE VI 
S—5| S—4| S—3| S—2}| S—1] S | S+1) S+2| S43] S+4] S+5 
As before, we can find a series of multipliers, namely, 
T, 3; 8, 21,55,°°° Pr-2, Pr-1) Ds ua 
where 
pr = 3pr-1 — pr-2,; (18) 
pe ==3 5 
pi =I, 
which will eliminate all the correlates of intermediate pairs of triangles 
down to any desired residue, e.g., S+5. For example, to eliminate from 
S+1 to S+4 inclusive, we use the series to the 5th term 55 and get 
123M — Mss — Ms45 = 55dg + 21(ds_1 + dsi1) + 8(ds_2 + ds42) 
+ 3(ds_s + dsi3) + ds_s + dsys. (19) 
For cells near or at a terminus of the chain, we use the same series of 
multipliers. 
For triangles with two second-remove cells to each first-remove 
cell we use the multiplier series 1, 3, 7; for instance, in the network of 
figure 6a, cell o has one first-remove cell 11 and this has two second- 
remove cells, 21 and 22. 
The correlate table for mo is Table VII. 

TABLE VII 
° II 21 22 d p 
3 71 ° 7 
=i 3 — Sh II 3 
ii —@ 21 I 
— 3 22 I 

Whence, multiplying (see column p) by 7, 3, 1 and 1 respectively, 
18m = 7d AF 3di1 + doi + dee. (20) 
834 
