Sentence examples for a reduced path from inspiring English sources

It is easily checked that such an admissible sequence from f to e exists if and only if there exists a reduced path from f to e of odd length in G say an admissible odd path.

Recall that a reduced path from e1 to e ℓ of length ℓ in G is a sequence P= e1,…,e ℓ ) of ℓ oriented edges such that t(e i )=o ei+1) and ( e^{-1}_{i+1} not = e_{i} ) for each i=1,…,ℓ−1.

This refined analysis results in a reduced path length in AD that is in contrast with earlier reports [18], [27].

The method involves the extraction of FUR from tablets with N, N-dimethylformamide by sonication and direct measurement in liquid phase mode using a reduced path length cell.

We evaluate our approach with both numerical and event-driven simulations, and we establish the practicality of our approach in a real incident-supporting hierarchical cloud deployment to demonstrate improvement of application level throughput due to a reduced path stretch under severe node failures and high mobility challenges of disaster response scenarios.

Such a reduced path integration mechanism is sometimes expanded ad hoc to include place cell binding to local features of the track, such as joints or segments (Chen et al., 2013; O'Keefe and Burgess, 1996).

The second hop has a much better SINR since that link enjoys a much reduced path loss due to LOS, yet interfering signals are a greater distance away and experience higher losses due to NLOS.

This concept benefits from a stable gas liquid solid (G L S) interface allowing a continuous supply of gaseous reactants and a reduced light path.

As can be expected, in order to use DMF as a solvent in the IR spectroscopy, a reduced optical path length was required.

Figure 5 shows the reduced path diagram for the influences upon factor 4 (Science).

The reduced path diagram for factor 1 (Indispensability), Figure 3, is the most complex of the reduced diagrams, with eight background measures having direct effects.