Sentence examples for by substituting the upper from inspiring English sources
A simple way of determining this value is by substituting the upper bound values of the domains corresponding to the,, and variables into the right side of (31).
end{aligned}Finally, the estimate (4.11) is obtained by substituting the upper bound on (|mathbf a |_2) from this estimate into (4.18).
By substituting the upper bounds above in the error decomposition (3), we have mathbb{E}_{{mathbf{z}},mathcal{A}} bigl( mathcal{E}(f_{{mathbf{z}},mathcal{A}}) - mathcal{E}(f_{rho}) bigr) leq 2bigl(B_{0}+lambda Omega(0 bigr) epsilon+ frac{(1+2epsilon kappa^{2}C_{L}}{lambdagamma m epsilon} +frac{2sqrt{2pi}B_{rho}}{sqrt{m}} +c_{beta}lambda^{beta}.
We calculated the plausible upper limit of the population attributable risk (PAR) due to each SNP by substituting the upper 95% CI of the pooled OR estimate and the frequency of the risk allele (F) into the equation PAR = F (OR-1)/(F OR-1)+1).
The lower penetrance bound is thus defined by substituting the maximal likely control count and minimal likely case count, whereas the upper bound is defined by substituting the minimal likely control count and maximal likely case count.
Because direct solution of (1) is computationally intractable, to quantify the amount of sub-optimality, we calculate an upper bound (denoted in Figure3 as Upperbound) by substituting the solution of DIS NC into (4).
By substituting the joint m.g.f.
By substituting the expression of,,, and into (17), we have.
By substituting the expression of in (B.19) we find (B.20).
