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Discover LudwigThe phrase "a the boundary" is not correct in written English.
It contains a redundancy with the articles "a" and "the" used together, which is not standard.
Example: "We need to establish a boundary to protect the wildlife in the area."
Alternatives: "at the boundary" or "on the boundary".
Exact(7)
In this paper, we extend open innovation model both theoretically and practically by identifying a) the boundary conditions that motivate firms within resource-based industries to apply the model and b) the approaches that have been implemented in practice in applying the model.
Fig. 7 a The boundary condition of FEA analysis.
Then: (a) The boundary value problem (6.2) has a unique solution, (x^).
Then, we have the following: (a) The boundary value problem (4.5) has a unique solution y* in B r [y0], where r = 1 - 1 - 2 h h η.
Let (Omegasubsetmathbb{R}^{2}) be the domain as in Figure 3(a), the boundary of which is composed of five semicircles and a straight line.
If (b=0), the boundary value problem (1.1) and (1.2) has at least one positive solution for small enough a; the boundary value problem (1.1) and (1.2) has no positive solution for large enough a.
Similar(53)
As a result, the boundary between a very moderate Evidentialism and full-blown Non-Evidentialism can be quite blurry.
(A) The boundaries of segmented regions are illustrated by red curves.
(A) The boundaries of segmented regions are illustrated by green curves.
If a boundary corresponds to the beginning of a domain, the boundary score is the posterior probability of a background to foreground transition and vice versa.
As a result, the boundary of the main grid on a fine level aligns with the boundary of a subgrid of that on the previous coarser level.
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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