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For network models with different properties, we only define a custom relax method that relaxes edges according to the specific requirements.
This is the case in the following examples (in which, obviously, we only define M x y ( t ) for t > 0 and x ≠ y ).
We only define a geometric topology for the agent formation, and by correctly choosing the cost function, show that our algorithm produces a communication topology mirroring the geometric topology.
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Thus, for both threshold-identification methods, we only defined one set of RT thresholds for items in the second-stage blocks, mostly based on the RT distribution and P + information for the Control sample.
The speckle effect is known to be modeled more accurately in the literature, whereas we only defined an implicit summation of the random phase distributions which is also a reasonable approach [7].
Because the 2D neural plate has not yet folded up to give rise to the 3D neural tube, we only defined an anterior posterior axis and a medial– lateral axis at this stage.
When using the aROC we can only define 2 classes so we use only the functional and non-functional set of ARSs in this evaluation, leaving out all weak ones.
We will only define the affinity measure between primitives, and not extract the groups themselves explicitly, as we only need a primitive's local grouping information to apply the correction mechanisms proposed in this paper.
This is why we can only define the weak solution as (1.16) (i.e. (B.5)) instead of (B.4).
However, according to our data we can only define three clades that exhibit concordant genealogical patterns across loci.
Specifically in our study, we could only define severe sepsis and HIV using ICD-9-CM codes, rather than by clinical, laboratory, or physiological parameters.
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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