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Setting in the above integral, we obtain Setting in (2.4), we find that.
Since the quantity is not changed under dilation, we obtain, setting in Petty's conjectured projection inequality, the following version of this conjecture which is similar to (4.6).
In Equation 3, we obtain, setting n = 2, the single-hop service curve β s - h as follows β s - h = β ( 1 ) ⊗ β ( 2 ) ⊗ δ d 1.
(m ℓ ) a ℓ + 1 x m − ℓ, we obtain Setting m = 1, the expected coalescence time is Using the density in Equation 1, we can investigate how the initial divergence time and the severity of bottlenecks influence the distribution of coalescence times.
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The results of Figures 3 and 4 were obtained setting ε = 10- 8.
Data for this table was obtained setting inverse correlations with R2 > = 0.80 as a cut off high confidence level.
The obtained set of nonlinear equations is solved using the arc-length method.
The obtained set of N☆ is extrapolated by the analytic function dependent on ∼M,Δt and parameter ρ.
Two sets of bacterial isolates and blood culture samples were obtained (Set I 150 and Set II 30 bacterial isolates, Table S1).
Thus, the above inequality ensures that the following obtained set of node-value pairs is different from the previous ones.
To validate the results obtained by sequencing, we extended the initial sample set of five mice per genotype with a larger independently obtained set of samples.
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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