Sentence examples for apply this condition from inspiring English sources

We introduce a necessary condition for a state to be separable and apply this condition to the structural physical approximation of an optimal positive map and give a proof of the fact that the SPA need not be separable.

And it is more appropriate to apply this condition in industrial application owing to the high feed to inoculum ratio and organic loading.

Using a live-imaging approach allowed us to apply this condition and to focus on the primary defects.

Therefore, a greater amount of information on orbital motion can be obtained by applying this condition.

Applying this condition we can have a wide range of functions.

Applying this condition to a fairly general class of infinite-horizon deterministic optimization problems in discrete time, we establish a new result on the existence of an optimal path.

When applying this condition to the given Gaussian channel, the PDC would be as follows: If for all Z ∈ G ( P 1, P 2, P s ) I ( Y p ; X i | W ) ≤ I ( Y s ; X i | UW ), then R g o ⊆ R ig r.

Applying this condition (vert s(t) vert _{p}geq vert t vert _{p}^{beta}), then the area of (s(t)) is converted into the relevant area of t, so it is easy to get the desired results by adopting the same method as Theorem 3.1.

Applying this condition to microarray analysis resulted in the induction of 211 and repression of 15 genes.

The following steps should be followed in applying this condition.

This idea of a perfect gas of course involved the assumption that gases, as they get farther and farther removed from their liquifying point, reach at last a fixed and stable condition, when no further change in their qualities takes place --- at any rate for a very long time --- and Boyle's law was supposed to apply to this condition.