Sentence examples for where pairwise from inspiring English sources

Our Theorem 2.6 is similar to Theorem 3.1 of [3], where pairwise independent r.v.s were considered.

Figure 1 illustrates the collection of patents at t, (P t)), represented as a network structure where pairwise combinations are represented as weighted links (solid lines).

However, analyzing the proof (see [5] or [15]), the only step where pairwise independence is applied is the use of inequality (2.23) with (a_{i}=0), (b_{i}=i) and with (a_{i}=-i), (b_{i}=0).

In the original proof (see [6]) the only step where pairwise independence is applied is the use of inequality (2.27) with with (a_{i}=0), (b_{i}=infty) and with (a_{i}=-infty), (b_{i}=0).

A natural modification of the sequential best response dynamics consistent with a scenario where pairwise coordination is possible is the following: in each period a player may either play a best response or propose the formation of a new strong link to one player.

TPSN uses the root node to synchronize all or part of the network, consisting of two phases: (1) the discovery phase, where the structure of TPSN is built, starting from the root node and (2) the synchronization phase, where pairwise synchronization is performed across the network.

(i) Pairwise key update If (14) where pairwise-key denotes the message type and and are the old and the new pairwise keys, respectively.

However, in the case of multiple-molecule methods, where pairwise-metrics are mathematically combined to generate a composite score, monotone transformations applied to the pairwise-metric can substantially affect the final rankings.

Instances where the pairwise difference between adjacent systems was significant are denoted by an asterisk in Fig. 16.

where the pairwise error probability given the weight pattern D is computed as[22]: P c j ( d | D ) = 3 4 erfc Es 10 σ n 2 ∑ f = 1 F d f | h jf | 2, (28).

Where appropriate, pairwise comparisons among means were performed using Tukey's post-hoc test.