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The logical reasoning involved in the fourfold negation is implemented by ordinary persons in order to understand what the ultimate truth is like, but logic alone is not sufficient to arrive at a direct realization of the actual ultimate.
Several rounds of BUCCANEER, PHASER, DMMULTI and REFMAC were sufficient to arrive at an essentially complete model with R-factors of 0.29/0.33 for R and R-free, respectively.
This suggests that when a substantial amount of heterogeneity is present, may be systematically underestimating it because a one-iteration formula is not sufficient to arrive at an estimate near the truth.
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The faster a subject accumulates sufficient information to arrive at the correct diagnosis, the more efficient is his diagnostic strategy.
We hypothesize that active partner selection may also play a role in the establishment of interaction specificity, as neither temporal nor geographical isolation seem sufficient explanations to arrive at the levels of specificity observed.
In the latter case, the requirement for reliable exposure data can be expressed as a need to obtain estimates of the mean exposure of individuals or groups with a sufficient precision to arrive at a confidence interval of acceptable size, or secure an acceptable statistical power in a specified hypothesis test.
But it could take half that time for international aid to arrive in sufficient amount to make a difference.
Her medical records showed that she was repeatedly dosed with morphine after the hospital had lost power, temperatures soared, and rescue helicopters failed to arrive in sufficient numbers.
Possible explanations for the absence of range expansion in A. brunneus and A. ramblae after the LGM are the presence of undetected climatic, biotic or ecological limiting factors, or simply a lack of sufficient time for these species to arrive at equilibrium with their potential ranges.
She saw that I needed to observe her in all possible contexts and situations, amass a sufficient data base to make correlations, to arrive at some general conclusions.
By taking advantage of the inequality techniques, some Lyapunov-Krasovskii functional candidates are introduced to arrive at the novel sufficient conditions that warrant the passivity of spatially and temporally BAM NNs with mixed time delays.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com