Sentence examples for a 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.

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.

Vector x is a valid spectrum assignment if for 1 ≤ n, m ≤ N, x n satisfies: M ≥ x n ≥ 0 and (1) if x n > 0, then g n, x n ≥ r n and (2) for all x n that are equal, ∑ u n, x n ≤ b x n and (3) for all x n = x m, i n, m = 0 (4).

Each solution corresponds to a valid boolean assignment of the variables σ1, σ2, σ3.