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Understanding the capability to measure the supplied current is crucial because an error on its determination will introduce an obvious approximation on the model computation which results on a gap between emulation and reality regardless of the approximation of the implemented model.
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It is therefore obvious that our approximation of σ will get less and less reliable as m grows.
Although the reasons of the similarity of the depth distributions of multiple scattered photons, collected under both polarization configurations, are not obvious, the same approximation has been adopted here for light polarized elliptically.
Due to the very small size of the error estimate and residual, it is obvious that the numerical approximation is very accurate.
From (18) it is obvious that for the approximation of u ′ ( 0 ), it is necessary to approximate the expressions s , c , and 1 τ ∫ 0 τ s f d λ. (19).
The first approximation is obvious while the second approximation holds provided that M is sufficiently large and K sufficiently small (e.g., for K=4 and M=1024, we have a normalized approximation error of 6.1%).
For the functions (6) and (7), closed-form solutions may then be obtained for γ 0. The obvious interest of this approximation is that the resulting formulation is based on the c.d.f.f
By visual inspection of Figure 3 it should be obvious that this linear approximation is very crude for the case of a heart that is small relative to the catheter's size, as is the case of a small mouse.
It is obvious that the quadratic approximation is not precise enough to focus the image in CTSSAR and the time domain BP algorithm seems to be trusted to handle this task perfectly.
where the first and the second approximations are obvious while the third one holds provided that M is sufficiently large and K is sufficiently small (e.g, for M=1024 and K=4, 4 log(M +4 log(K +2=50 while 4 log(M +4K−8=48).
This is not entirely obvious because of the approximations that went into deducing the true duplicated (sibling) pairs using the Minimum Spanning Tree algorithm.
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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