Sentence examples for by a partition of from inspiring English sources

In 855 the death of Lothar I was followed by a partition of his kingdom among his three sons: the territory to the north and west of the Alps went to Lothar II (Lotharingia) and to Charles (kingdom of Provence); Louis II received Italy and the imperial title.

In general, these networks are rather very small (allowing hence to be handled by experts) and the defined community structure is usually given by a partition of the studied graph with no overlapping among defined communities.

Indeed, as we already explained, we may assume that ( N subset {mathbb {R}}^n, M subset {mathbb {R}}^m) and, by a partition of unity argument, that M is an open set in ({mathbb {R}}^h).

Even though the original logics for stit do not involve time explicitly, their semantics is based on branching time models, where every agent's set of choices at a given time instant is represented by a partition of the bunch of all histories passing through that instant.

By a partition of unity, there exists a family { β i } i = 1 n of real-valued continuous functions subordinate to { M y i } i = 1 n such that for all x ∈ K, 0 ≤ β i ( x ) ≤ 1 and ∑ i = 1 n β i ( x ) = 1 and for each x ∉ M y i, β i ( x ) = 0. Let C : = co { y 1, y 2, …, y n } ⊆ K. Then C is a simplex of a finite dimensional space.

Our choice for inhibitions is guided by a partition of the model into behavioral modules that are inspired by the biological understanding of importance of the different components in the pathway.

By definition, a partition of S with a single block is represented by the boolean expression true.

Similarly to the 2PB sampler, the computation of K j 1, j 2,..., j u ∗ is facilitated by considering a partition of K j 1, j 2,..., j u ∗ into d separate sets, where d corresponds to the number of distinct DAGs composed of u nodes.

Delayed release of initiators causes a pronounced broadening of these distributions that can be modeled by a partitioning of the reaction bath into compartments with different initiator density and instant initiation.

DSRC PHY is defined by a partitioning of a signal across many low-symbol-rate orthogonal subcarriers.

For convenience of exposition, the subsets of individuals specified by a partitioning of the network into communities and into a core and periphery will sometimes be referred to as the partition elements, and the collection of these (community and core-periphery) subsets will be called the network partition.