... real-orthogonal, the support of U(G)p, forsome p, is presumably different from the support of M(−→LDG)p. This is because of thecontribution of the negative entries in U(G). On the basis of ... statement of the proposition are mutually exclusive.Each case corresponds to U3(i,j),(l,m)> 0 for one of the cases A-F above. The condition 1corresponds to the case A, 2 to C, 3 to D, 4 to E ... sum of the amplitudes of all possible paths of length three from (i, j)to(l, m). In what follows we count all these paths to giveconditions for S+(U(G)3(i,j),(l,m)) = 1. We begin by observing...