We first obtain a solution for the error positions i 1,…,i m.
where a i j is the element of mixing matrix at positions i,j.
This guarantees that watermarks of different users j are independent and that watermarks in different positions i are independent.
Shannon's entropy (Eq. 1) was calculated for each of the DNA probe positions, i = 1,..,n.
For all 1 ≤ i ≤ j ≤ ℓ, we denote by the subsequence between positions i and j.
The substring from positions i to j is described as s[ i, j].
Phosphorylation can also induce or stabilize α-helical structures via side-chain salt bridges in cases where phosphorylated serines or threonines at positions i are preceded or followed by lysines at positions i 4 or i+4, respectively.
Provided the previous positions, i−1 and j−1 have the same read count difference as the present positions, i and j, we set (5) otherwise we use η− i, j)=0.
In case two positions, i, j in the sequence are incompatible then we have w(i j)=− ∞.
Residues at positions i and i+4, for example, point towards the inside of the β helix.
In MIp, the background MI shared by positions i and j (termed APC) is subtracted from their MI score.
