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Consequently, it should be guaranteed that at least S clusters which satisfy the semi-orthogonal criterion for each user are selected by adjusting the ϵ parameter properly.
We focus on the hardest setting of this model, called the simple threshold, where to be guaranteed that at least one message is delivered in a time step, the total number of transmitted messages in that time step must reach a threshold T≤c(G), where c(G) is the edge connectivity of the network.
"In a very long time frame — millions of years — it's guaranteed that at least some of them will still be there," he added.
According to constraints Eq. (4), it is guaranteed that at most one job will be located in each position of a period.
First, I am not sure that it is useful to compute the node degree distribution of the local, i.e., protein-centric network: if it is by construction a set of interactors of one protein, it is guaranteed that at least one protein will be very highly connected.
Correspondingly, it cannot be guaranteed that there is at least one channel common to all SUs, which makes it difficult to install a common control channel (CCC) for secondary medium access.
it could not be guaranteed that the dictionary, at this step, was completely devoid of entries that would form a valid abbreviation if appended by a period.
Therefore, it can not be guaranteed that all references accessible at a given point in time are retrievable at all later points in time.
Consequently, it cannot be guaranteed that the observed training sequence at the receiver is not affected by interferences from the other users.
If you buy a fixed week, you are guaranteed that unit at the same time every year.
If we start from a fully matching setting, apply 1-level substructuring by cross-insertion, and choose all non-hanging vertices as primal vertices, then it is guaranteed that there are at least two primal vertices, i.e., at least four primal DOF, on each subdomain.
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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