If the (i, j) entry in the SSIM is V, then the (i, j) entry in the reachability matrix becomes 1 and the (j, i) entry becomes 0. If the (i, j) entry in the SSIM is A, then the (i, j) entry in the reachability matrix becomes 0 and the (j, i) entry becomes 1.
If the (i, j) entry in the SSIM is X, then the (i, j) entry in the reachability matrix becomes 1 and the (j, i) entry also becomes 1.
If the (i, j) entry in the SSIM is O, then the (i, j) entry in the reachability matrix becomes 0 and the (j, i) entry also becomes 0. The reachability matrix obtained in step 3 is converted into the final reachability matrix by scrutinizing it for transitivity.
The matrix (E_{i,j}^{n}) denotes the Type 1 elementary matrix [4], p.8, which is simply the identity matrix (I_{n}) of order n, the i, i and j, j entries replaced by 0 and the i, j entry (respectively j, i entry) replaced by 1 (respectively 1).
Secondly, construct C_{i,j}^{k+1}=C_{i-1,j}^{k+1}E_{i-1,i}^{k+1} for (i=2,3,ldots,k+1), (j=1,2,3,ldots,k+1), where (E_{i,j}^{n}) denotes the Type 1 elementary matrix [4], p.8, which is simply the identity matrix (I_{n}) of order n, the i, i and j, j entries replaced by 0 and the i, j entry (respectively j, i entry) replaced by 1 (respectively 1).
Cyclization of 2 i to 3 i (entry 9) proceeds with a poor stereoselectivity (d.r.=2:1), which might be due to the relatively remote stereocenters.
It has been shown that the constant modulus signal assumption becomes the time average of the n T x i entries.
A range of thiophenols 2 a– 2 i reacts smoothly to give the desired allylic thioether 3 a–3 i (entries 1 9).
meta-Phenyl (2 h) and bromo (2 i) styrenes reacted readily to provide the corresponding difluorinated compounds 4 h and 4 i (entries 8 and 9).
Given a single permutation π ∈ S N and for every i = 1,…, N, a binary vector λ i is defined in which exactly i entries are 1 and N- i entries are 0, as follows: λ i (j) = 1 iff π(j) ≤ i.
All the remaining 17 patients received chemotherapy before their phase-I entry (including 10 patients who received prior docetaxel).
