Sentence examples for using this estimate we from inspiring English sources

Using this estimate, we have (2.46).

Using this estimate we have the following.

(3.31) Using this estimate, we see that vert ddot{S}_{k,ij} vert ^{mathcal{O}_{m+1}}leq2 epsilon _{m})^{-gamma} vert ddot{R}_{k,ij} vert ^{mathcal{O}_{m}}, quad vert i vert, vert j vert leq L_{m+1}, vert k vert leq M_{m+1}.

Using this estimate, we found 89 significant SNPs when the FDR was controlled at the 0.05 level.

Using this estimate, we calculated that 200 patients (allowing for 10% loss to follow-up) would need to be enrolled in each treatment arm to detect a 15% risk difference between the treatment groups with a two-sided type I error of 0.05 and 80% power.

Using this estimate, we find the actual false-positive rate for five tests is C 5 1 × 0.16 4 × 0.84 + 0.16 5 = 0.29 %, corresponding to 0.29 % × 849 = 2 false-positive results.

Using this approximation, we estimate that 7,590 additional species need to be described to bring the state of taxonomic knowledge in South Africa up to European levels (Table S1).

Using this estimate in (3.19), we get (325).

which holds for 1 ≤ j ≤ m and z > 0. Using this estimate and (3.11), we finally get that C E n sup z > 0 A M, j ( z ) ≤ C. The proof is complete.

which holds for all 1 ≤ j ≤ m and z > 0. Using this estimate and (3.20), we finally get that C E n sup z > 0 A M, j ( z ) ≤ C. The proof is complete.

Using this estimate in a very critical manner, we proved the following in [5, Theorem 6.2].