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Exact(11)
If (i) has a solution, that is, there exists (xin X) such that (psi_{i}(x)< 0), (i=1,2,ldots,k), then for every (lambdain R_^{k}setminus{0}), we have (sum_{i=1}^{k}lambda_{i} psi_{i}(x)< 0), which implies that (ii) does not hold.
If i has more than one parent black nodes, then before i turns black, it received two black messages.
Let us define ( {x}_i^left tilde{t}right)={ min}_{j>i}{widehat{x}}_{ij}left tilde{t}right) ) (or L if i has the largest x i ).
Further, H i (t)=1 if i has defaulted by time t and H i (t)=0 otherwise, i∈{1,I}.
If i has no pheromone for the destination d (i.e., ∀j∈N i,ϕ jd =0), Fant is broadcasted to all neighbors of node i.
If i has no pheromone for the destination d in its pheromone table, i sends the data packet to a neighbor j, which is selected randomly.
Similar(48)
If I had to, Rahim.
■ What if I have questions?
If I've passed, fine.
If I have an accident..."...
If I had been smiling.
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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