TABLE III.
Some examples of possible results that can be obtained after sorting the set of DCM pure entropies from lowest to highest, and then assigned ranks of 1 and greater, respectively. Pure entropy values listed on the leftmost column are rank ordered in the various columns. The letter R indicates that the constraint is always redundant, and therefore is always ineffective in reducing conformational entropy. The last row gives the dimension [34] of the transfer matrix T for the particular rank ordering. Column h corresponds to the rank ordering used in example (23). Column l is similar to column h except that degeneracy is lifted from all the γxyz pure entropies.
| a | b | c | d | e | f | g | h | i | j | k | l | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| δa | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 3 | 3 | 4 | 4 | 5 |
| δc | 2 | 3 | 3 | 3 | 4 | 5 | 6 | 5 | 6 | 5 | 6 | 9 |
| γaaa | R | 1 or 2 | 1 or 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| γcaa | R | R | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 |
| γaca | R | R | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 3 |
| γaac | R | R | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 4 |
| γcca | R | R | R | R | R | 4 | 4 | 4 | 4 | 3 | 3 | 6 |
| γcac | R | R | R | R | R | 4 | 4 | 4 | 4 | 3 | 3 | 7 |
| γacc | R | R | R | R | R | 4 | 4 | 4 | 4 | 3 | 3 | 8 |
| γccc | R | R | R | R | R | R | 5 | R | 5 | R | 5 | R |
| dim(T) | 16 | 16 | 28 | 60 | 60 | 96 | 140 | 200 | 244 | 376 | 436 | 444 |