... the second slot aswell as the first slot. Proof:u,v + w=v +w,u=v,u+w,u=v,u+w,u=u,v+u,w;here u,v, w ∈ V.In an inner-product space, we have conjugate homogeneity in the second ... Considerthe orthogonal decompositionu =u,vv2v +w,where w is orthogonal to v (here w equals the second term on the rightside of 6.5). By the Pythagorean theorem,u2=u,vv2v2+w2=|u,v|2v2+w2≥|u,v|2v2.6.8Multiplying...