[S1,Q15=MAC15(S1), P13=MAC13(S1,Q15)] [S2,Q25=MAC25(S2),P23=MAC23(S2,Q25)] [S4,Q46=MAC46(S4),P45=MAC45(S4,Q46)] Q36=MAC36(S1|S2|S3) P35=MAC35(S3, S1|S2, Q15, Q25, Q36) [S3, (S1|S2), Q15, Q25, Q36, P35] Q5B= MAC5B(S1|S2|S3|S4|S5) P56=MAC56(S5, (S1|S2|S3|S4),Q36,Q46,Q5B) [S5, (S1|S2|S3|S4),Q36, Q46, Q5B, P56] P6B=MAC6B(S6, ((S1|S2|S3|S4 |S5)| S7|S8),Q5B,Q7B,Q8B) [S6, ((S1|S2|S3|S4 |S5)| S7|S8),Q5...

We give precise conditions under which the real interpolation space [Y0, X1]θ,p coincides with a closed subspace of [X0, X1]θ,p when Y0 is a closed subspace of codimension one. We then apply this result to nonharmonic Fourier series in Sobolev spaces Hs(−π, π) when 0 < s < 1. The main result: let E be a family of exponentials exp(iλnt) and E forms an unconditional basis in L2(−π, π). Then there...

It is generally believed that prokaryotic translation is initiated by the interaction between the Shine-Dalgarno (SD) sequence in the 5' UTR of an mRNA and the anti-SD sequence in the 3' end of a 16S ribosomal RNA. However, there are two exceptional mechanisms, which do not require the SD sequence for translation initiation: one is mediated by a ribosomal protein S1 (RPS1) and the other used le...