S=luminosity (or flux, either consistently used, works) of S L=luminosity (or flux) of L -2.5*log10(L+S)=-2.5*log10(L) -.2 log10(1+S/L)=.2/2.5 S/L=10^(.2/2.5)-1 * ? 10^(.2/2.5)-1 .2022644346174129 Let a=fraction of L NOT covered -2.5*log10(L+S)=-2.5*log10(S+a L) -1 log10((1+S/L)/(S/L+a))=1/2.5 (1+S/L)/(S/L+a)=10^(1/2.5) ...call that Q 1+S/L=Q(S/L+a) (1+S/L)/Q-S/L=a * ? (1+res)/10^(1/2.5)-res .2763656577052254 * ? 1-res .7236343422947746 !fraction covered