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For example, the partition boundaries do not have to be linear.
The new partition boundaries are calculated based upon a 1D number density function computed from the grid deposited charge distribution.
Parallelization-generated numerical difficulties such as void fraction calculation, two-phase momentum exchange, and contact force calculations for particles at irregular and arbitrary partition boundaries were efficiently addressed.
Therefore, the uniformly sampled isolines, which are dense at concave regions, can naturally form the candidates of partition boundaries.
This choice of partition boundaries resulted in comparable sample sizes within the partition, while staying scalable in respect to the ECER ranges.
With a specially designed weighting scheme and a strategy of a priori knowledge to guide the assignment of harmonic constraints, this method can identify teeth partition boundaries effectively.
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Furthermore, MDR records each partition boundary in terms of the ratio of its size to the total number of training instances, whereas MartiRank uses an absolute boundary location.
The third step is to recover a scalar score for each population, based on the fraction of the cases that fall in the side of the partition boundary (cut) that contains positive controls.
One of the limitations of segmenting MBs with rectangular/square shape building blocks as done in the method with variable block size and in [6] is that the partitioning boundaries cannot always approximate arbitrary shapes of moving objects efficiently.
A close examination of the partitioning schemes reveals that the algorithm chooses subsets that reflect the traditional biological partitioning boundaries such as genes and codon positions.
However, although some of the structure of the classical partitioning boundaries exists in the subsets chosen by our algorithm, other subsets include sites from a wide range of genes and codon positions.
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