Sentence examples for valid assignment from inspiring English sources
Each conflict graph is corresponding to a valid assignment of licensed channels to the requesting OBU pairs.
Achievability: We provide a valid assignment of transmit and receive matrices to the nodes with T=m.
The extension to the general case would be similar to Theorem 2. Here, we describe how to construct a valid assignment of transmit and receive matrices.
For a K-user two-layer network (phantom {dot {i}!}mathcal {G} = (mathcal {V},mathcal {E},{ w_{ij} }_{ i,j) in mathcal {E}})) with 1-local view if there exists a valid assignment of transmit and receive matrices, then all induced subgraphs can be reconstructed in T time slots and a normalized sum rate of (alpha = frac {1}{T}) is achievable.
However, if the per layer conflict graphs are not fully connected and the network does not fall in category (a), then the scheme is a per layer interference avoidance which can be easily expressed in terms of a valid assignment of transmit and receive matrices.
We note that these cases can be easily described within the algebraic framework of Section 4. In fact, if the folded-chain structure of Fig. 12 exists in at least one of the layers, as shown in Section 3, the transmission can be expressed as a valid assignment of transmit and receive matrices.
It was found that, at the 35 bit-score threshold, some reads (<1%) were assigned with very poor E-values and therefore could not be trusted as being valid assignments.
Valid assignments were based on E-values < 1e−03 and alignments larger than 800 bp.
This procedure allowed a valid patient assignment with regard to patients' headache-related disability and quality of life and tailored treatment to patients' needs.
PROOF: This problem is clearly in NP since once a valid coloring assignment S is obtained, condition (3.3) may be verified in O |V| K ) time [19].
Most crucially, it needs to be shown that this algorithm allows a valid patient assignment with regard to headache-related disability and quality of life.
