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The carrier allocation deals with the exclusive assignment of subcarriers to different users, and the power allocation addresses the distribution of available power over assigned subcarriers.
If each person is supposed to do exactly one job, the allocation problem is to find the exclusive assignment matrix Z that minimises the sum over the costs of all jobs: Z ∗ = argmin Z ∑ i = 0 n − 1 ∑ j = 0 n − 1 z i, j m i, j (40) s.t.
This can most easily be seen in Figure 3 (gene cluster 5) as an almost exclusive assignment of either green blocks (genes predicted to be driven by SigB promoters) or blue blocks (orthologous genes present, but lacking a SigB promoter).
The criteria for component extraction were (1) an eigenvalue ≥ 1, (2) a satisfactory result on Catell's scree test[ 16], (3) four or more items with salient loadings (i.e., ≥0.4), (4) reasonable internal consistency for the unit-weighted salient items (i.e., ≥0.7), and (5) adequate parsimony (mutually exclusive assignment of items to factors).
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Another way to avoid these pitfalls would be to take advantage of the many "fuzzy" clustering algorithms, which generate non-exclusive assignment of genes to clusters [ 12, 13].
They will not work on non-exclusive assignments, apart from some very rare exceptions and only for a good reason.
Substituting (19) into the Lagrange function (6) and thanks to the exclusive subchannel assignment constraint, we obtain the following per-subchannel dual problem: (24).
Due to the exclusive subchannel assignment constraint in OFDMA, we can conclude that for each subchannel, if are all different, then only the user with the largest can use that subchannel.
But, the proposed convex relaxation technique in [22] permits time-sharing of each subchannel; therefore, the system model differs from the original OFDMA system since it does not perform mutually exclusive subchannel assignment.
There have been different ways to evaluate the agreement between humans for a task characterized as a mutually exclusive category assignment.
For the event type of annotation, the results showed that our annotation scheme for the zone types is reliable, with K = 0.87 for annotators A and B, and K = 0.90 for annotators A and C. In a mutually exclusive category assignment task, another tool for annotation analysis is the confusion matrix.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com