Sentence examples for stable partition from inspiring English sources

But if (mathbb {D}_{c}) stable partition of (mathcal {G}^{l}) exists, the merge-split rule converges to this partition because the optimal (mathbb {D}_{c}) stable partition is the unique outcome of any arbitrary merge-split rule operation [24].

The existence of (mathbb {D}_{c}) stable partition in game (mathcal {G}^{l}) is not always guaranteed.

If the (mathbb {D}_{c}) stable partition of (mathcal {G}^{l}) exists, the partition structure obtained by Algorithm 2 is (mathbb {D}_{c}) stable.

Algorithm 2 summarizes the procedure that uses the merge-split rule to obtain the stable partition structure of (mathcal {G}^{l}).

So further U.S. intervention will probably just increase instability by making the Shi'ite Iraqi government unwilling to accept a more stable partition of the region and lead to blowback terrorist attacks on the United States.

The aim for developing this metric was to expand current clustering algorithms to produce biological meaningful clusters that are not only able to find the stable partition(s) hidden in the data, but also are useful for elucidating the underlying mechanisms leading to distinct molecular forms in phenotypically defined disease.

The results of the Analystablee confirmed with numerical simulations that also demonstrate a second-order accurate impartitionedn of the algorithme.

The intuitive notion of stable partitions allows us to discover a new proof-theoretic method to determine whether a three-valued MKNF model exists for a given hybrid MKNF knowledge base.

As a result, our work provides a uniform characterization of well-founded, two-valued, and all three-valued MKNF models, in terms of stable partitions and the alternating fixpoint construction.

This leads to a classification of hybrid MKNF knowledge bases into a hierarchy of four classes, of which the smallest one is what works for the well-founded semantics proposed by Knorr et al. After that, we characterize three-valued MKNF models into what we call stable partitions, which are similar to partial stable models in logic programming.

To achieve this, it uses an incremental HDFS, performs a stable partitioning of the input data, and adds a contraction phase to divide the reduce task into smaller subtasks that can be re-used.