Given partially ordered sets (posets) (P,≤P)(P′,≤P′)P′f:P→P′A,B∈PA≤PBf(A)≤P′f(B)R(P,Qn)Qnn+c1(P)≤R(P,Qn)≤c2(P)nc1c2R(P,Qn)>(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA(1+ϵ)nϵ>0R(P,Qn)QnR(N,Qn)=n+Θ(n/logn)NA