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The phrase "a local upper bound on" is correct and usable in written English.
It can be used in mathematical or computational contexts to describe a limit or constraint that applies within a specific region or subset of data.
Example: "The algorithm establishes a local upper bound on the maximum value of the function within the defined interval."
Alternatives: "a regional maximum for" or "a constrained upper limit on".
Exact(1)
The idea is to compute a local upper bound on the concave function and instead of optimizing L from Equation (4) directly, use an approximation based on the upper bound of.
Similar(59)
Using a semiparametric approach, an upper bound on the asymptotic power of all tests against a given local alternative is obtained.
The minimum delay was 0.1 ms and, unless specified otherwise, the delay between the two most distant neurons was 3 ms. The latter value was an upper bound on local circuit conduction delays in the cortex (Sabatini and Regehr 1999).
Although Equation (25) shows a tight upper bound on the channel capacity, in some regions, there are bounds that are a bit tighter than the above bound.
Secondly, it provides a minimized upper bound on the output.
The primary benefit of 3D CNOC is scalability and a clear upper bound on power dissipation.
A sharper upper bound on the determinant of the related matrix is derived.
This is significant because it represents a theoretical upper bound on loading rate for wetlands design.
These constraints limit possible peak regrowth and place a tight upper bound on the problem formulation.
A natural upper bound on the achievable rates of chunked codes is established as follows.
Improved blade load regulation via the blade pitch angle control guarantees a hard upper bound on the flapwise bending moment.
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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