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The assignment values are stored in vector x A. We close those facilities i from F that do not serve any customer, i.e., we set z ^ i ≔ 0. If such assignment is not possible (e.g., the subgraph induced by A R is not a complete bipartite graph), we discard the solution.

This method determined the probability that a cross-validated correct assignment value was achieved by chance [ 46].

Next, the node value assignments of 0 and 1 were reassigned randomly, and D and H values were calculated.

Our semantic structures, inspired by Adams' epsilon semantics, are epsilon-belief assignments, where mass values are either close to 0 or close to 1.

For a matching ratio below 1.0 but higher than 0.6, the cutoff for the assignment uniqueness value is set to 3.

For a matching ratio of 1.0, the cutoff for the assignment uniqueness value is set to 1 (i.e., at least one of the cross-peaks must be unique).

The significance level of an observed D (H) can be estimated using permutation testing, where the assignment of vertices' property values are randomly shuffled while the the total number of vertices taking value 1, i.e. n1, is fixed.

Accordingly, induction of Wip1 expression [ 30] (interaction 82) has been assigned to time scale value 3. Detailed information on assignments of time scale values are given in Additional file 1: Table S1.

The computation times (column 12) are very similar for each data assignment, so only the ballpark values are given.

The above assignment of DNA strength parameter values is also found to be consistent with the observations on relative stabilities of dinucleotides [25], the molecular interpretation of the conjugate rule [45] and some recent molecular dynamics simulations [40].

The lowest posterior probability of correct assignment at both log test values was the Welsh against Landrace contrast (Table  5, Additional file 1: Table S2).

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