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Although this approach may result in a loose upper bound in general, we consider it to assess other bounds.
At high SNR the (21) is a loose upper bound for the (19).
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A (generally loose) upper bound to the CSB of the full-duplex Gaussian MIMO relay channel is provided in [9].
Upper bound function is crucial in B&B algorithm, loose upper bound would have no ability to prune search space.
Note that the above inequality results in a loose performance upper bound.
On the other hand, a loose upper limit to the uncertainty is the plausibility.
Given an arbitrary cut (L, R), we propose that r will be the least upper bound of L. The Least Upper Bound Axiom of the usual theory of the reals tells us that L has a least upper bound (L is nonempty and any element of R (which is also nonempty) is an upper bound of L, so L has a least upper bound).
We now discuss a useful upper bound.
we get a sharpen upper bound.
Secondly, it provides a minimized upper bound on the output.
From this, we can obtain a throughput upper bound.
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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