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The turbulent velocity profiles downstream of the windbreak can be collapsed to a similarity profile if the proper characteristic scales are adopted.
They realized that the codim-1 bifurcations of the fast subsystem which are necessary for bursting can be collapsed to a single local singularity of higher codimension, that is, a singularity in a high-dimensional parameter space, where the codim-1 bifurcation curves coincide.
Early food web studies [13], [14] showed that in many smaller networks, species can be ordered such that all diets fall into a contiguous interval on a single dimension, suggesting that niche space can often be collapsed to a single dimension.
There are also studies in which categories had to be collapsed to a dichotomous scale [ 33].
The categories for two rating scales (Difficulty Scale and Agreement Scale) had to be collapsed to a four-category response scale (6 items), which is in agreement with some previous studies [ 36, 37].
A final note for any error correction is that variants called from paired-end reads aligning to the same position should be collapsed to a single datapoint when attempting admixture analysis or trait mapping and should be weighted accordingly.
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The minimum distance query between each two superquadrics is collapsed to a convex optimization problem.
Moreover, the experimental data of the given sample have been collapsed to a single curve which represented measurements for all values of frequency and magnetic induction.
Thus at instant k, all the Gaussian components verifying (31) belong to the delay/Doppler bin (i,j) and are collapsed to a single weighted Gaussian component using moment matching (see [22, p. 210]).
Identical sequences in the same year were collapsed to a single one, to avoid biases due to over-representation of certain samples in the database.
To explore whether recent replication or proliferation biased the statistical tests towards compartmentalization, identical sequences were collapsed to a single sequence and reanalyzed for compartmentalization.
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