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end{aligned} We conclude the estimate.
Therefore we conclude the estimate (3.16) from (3.19).
we conclude the estimate on in the form (2.44).
Hence we conclude the estimate begin{aligned} sup _{Omega } zeta ^2|D^2u| le sup _{partial Omega } zeta ^2 |D^2u|) + C. end{aligned} (2.15 Theorem 1.1 now follows by taking (zeta in C^2_0(Omega _0)) and (zeta =1) on (Omega ^prime ).
Using (H1), (H2) and the previous inequality, we then conclude the estimate of I 2 as follows: Combining the estimates found for I 1 and I 2, we have | I | ≤ L ( 1 + M 2 ) m − 2 2 ω ( M + 1, Φ ) Φ + 2 L ( 1 + M ) m 2 Φ.
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There may be a wide range of possible estimates, and the auditor now must simply conclude the estimates are within that range.
To conclude, the estimated positive effect of genotype CT compared to genotype TT for racing performances may be overestimated due to the selection process, but only by 19% at the most.
Putting the estimates (39) and (40) together, we conclude the proof of estimate (38).
We conclude the chapter with estimating commutators of almost commuting self-adjoint operators (A and B are called almost commuting is (AB-BAin {varvec{S}}_1)).
In summary, we conclude that the estimate (3.1) stands.
By this and (6.6), we can conclude that the estimate (2.2) holds, and the theorem is proved.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com