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Note that in the two-variable model proposed by Motta et al. (2012,2014), the resulting set of unstable wave vectors consists of a finite domain around the critical wave vector, as in the DKS equation, plus a marginal mode with (vec q =0).
The switch from joint mode to a marginal mode identifies one of the endpoints (h or g, respectively).
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Music influences me, but in a marginal way, not directly.
The diary as private is also linked to its status as a marginal literary mode; diaries are usually considered embarrassingly raw and not designed (or able) to bear the weight of readership.
Left marginal mode alignments may only be extended by aligning left residues x i (central panel of Fig. 2), and right marginal mode alignments may only be extended by aligning right residues x j (center right panel of Fig. 2).
Thus, marginal mode is only used when required to account for one or more missing residues in the local parse tree.
Once switched, the alignment must stay in that marginal mode until the root state of the optimal local parse subtree is identified.
Consider, for example, this tableau of probabilities for (x,y), where each of x and y can take one of three values: The modal value is (x1,y1), but the marginal modes are x2 and y2.
In marginal modes, residue emission probabilities involving missing data are the appropriate marginal summation of the state's emission probabilities.
In order to avoid parsing ambiguity, any ties in the traceback are resolved in favor of joint mode over marginal modes.
On the other hand, alloy 2 which had 1.08 wt% Mn exhibited a marginal effect of mixed-mode loading on fracture toughness.
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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