text: shows up in the optical gap), where as in the BCSI case 
  it would have always begun from 2∆. In Fig 18 we plot 
  the Kubo sums WK vs coupling λ. We see that for all λ, 
  WK in the NS stays larger than in the SCS. Fig 19 shows 
  the cutoﬀ dependence of the optical integrals W (ωc) for 
  λ = 1 separately in the NS and the SCS. We again see 
  that only about 73% of the Kubo sum is recovered up 
  to the bandwidth of 1 eV indicating that there is a sig- 
  niﬁcant amount left to recover beyond this energy scale. 
  Fig 20 shows ∆W for the two diﬀerent couplings. We 
  see that, for both λ’s, there is only one zero-crossing for 
  the ∆W curve, and ∆W is negative at larger frequen- 
  cies. The only diﬀerence between the two plots is that 
  for larger coupling the dip in ∆W gets ‘shallower’. Ob- 
  serve also that the solid line in Fig. 20 is rather far away 
  from the dashed line at ωc > 1meV , which indicates that, 
  although ∆W (ωc) in this region has some dependence on 
  ωc, still the largest part of ∆W (ωc) is ∆WK, while the 
  contribution from ∆f (ωc) is smaller. 