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Our method was benchmarked with manual boundary obtained by experienced physicians.
For a closed codimension one submanifold Γ of a compact manifold M, let MΓ be the manifold with boundary obtained by cutting M along Γ.
The results show noticeable discrepancies between the breakthrough curves of all the species in the immediate vicinity of the exit boundary obtained from the analytical solutions for a finite domain and a semi-infinite domain for the dispersion-dominated condition.
Numerical results show that the stability boundary obtained by the smoothed stochastic averaging is less conservative than that obtained by the unsmoothed version, and the former is the tangent of the latter at zero spectral density of the random in-plane force.
Let (Sigma ) be the Riemann surface (with boundary) obtained from (C') after removing open discs (Delta _i) around each of the branch points.
Figure 5 shows that the final contours obtained from the images pre-processed by SRAD and DPAD are away from the boundary obtained manually while the follicle boundaries obtained from the images pre-processed by nonlocal-means and our RDPAD are closed to the boundary obtained manually.
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To this end, we first applied hierarchical clustering to simulations of our Moral Strategy Model, and then grouped our participants' behavior by the cluster boundaries obtained from the simulations.
Firstly, a direct comparison was made of the stability boundaries obtained by experimental data and RELAP5/Mod3.4 code to verify the accuracy of RELAP5 code.
The buffet boundaries obtained using the standard trailing edge pressure divergence technique and an alternative approach of measuring the divergence of normal fluctuating forces are compared to show the equivalence.
Also, the flame regime of sporadic flames extended far beyond the extinction boundaries obtained in the one-dimensional computations in both experiments and the three-dimensional computations.
The phase boundaries obtained from the EMF pressure concentration curves were confirmed by X-ray diffraction, complemented by in situ stress measurements during hydrogen charging.
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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