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The proposed method for fast structural similarity search below a given distance threshold makes use of the inverse triangular disequality in order to avoid unnecessary comparisons.
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For increasing values of these groups the iron particle size is smaller at a given distance below the injector.
The speed of a portion of water flowing through an opening in a tank a given distance, h, below the water surface is the same as the speed that would be attained by a drop of water falling freely under the force of gravity alone (that is, neglecting effects of air) through the same distance, h.
dist is a given distance function.
3. Detection of the clusters, defined as those chromosomal regions where all distances are equal or below a given maximum distance.
If two terms have distance below a given threshold, then an edge between the two terms is added.
RQA is a nonlinear technique that is based upon detecting recurrences of similar segments along a given series, as computed by the Euclidean distance below a given radius.
For example, spatial join can be used to perform single linkage clustering by finding all vector pairs, which are separated by a distance below a given threshold (Brinkhoff et al., 1993).
To do so, given two aligned range data we extract features from both of them, match them, and count the ones that are correct (i.e. the ones for which the Euclidean distance is below a given threshold).
If this distance is below a given threshold for three successive iterations, the algorithm is deemed to have converged; we choose the threshold here as 10−3.
This metric is superior to, e.g., calculating the proportion of genes below a given threshold because it up-weights smaller RF distances as opposed to, in effect, using non-zero uniform weights below the cutoff value.
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