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Exact(15)
end{aligned}Likewise, we can make exactly the same estimates for the differences.
In a similar way we obtain the same estimates for the domains D j ⊂ G.
end{aligned} end{aligned}We have the same estimates for the case (lambda <-d) and (zin (-1,0)).
Interestingly, we obtain the same estimates for β = β A = β B, but different estimates for α.
Since both protocols deliver the same estimates for the first-hop channels, we compare them based on the quality of the second-hop channel estimates.
Moreover, we have for u k, ω k and b k the same estimates for all norms we have obtained in Section 2.
Similar(45)
Based on the abundance of double craters pocking the planets, Bottke and Melosh came to the same estimate for asteroids crossing Earth's path.
As a result, the confidence intervals of the same estimate for the two groups are not overlapping making the estimates of the lagged dependent variable for natives and immigrants being significantly different from each other.
However, when the same estimate for tb was found, the other parameters and statistics again matched between the tools, with the exception of the (chi ^2) error calculations obtained with OpenModel which are still under development.
On the other hand, if either (V x -lambda <0) or (V x -lambda, nabla _{partial X} V(x)ne 0) (where (nabla _{partial X}) means "along (partial X)") at each point of ({text {supp}}(psi )), we get the same estimate for (sigma _psi (x)=int u(x,x,t),dx).
The same estimate for the value of βis obtained when the critical distance, 150 mm, is varied by ±50 mm (data not shown).
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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