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This upper bound should be selected carefully, close to the true MSE, such that the corresponding solution can be considered to be a good approximation to the solution of the original problem (Equation (24)).
and for faster algorithm's convergence the upper bound should be as close to as the lower bound, thus α should be chosen as e 1 + e and therefore the upper bound is given by μ ¯ b UB = Exp T p b - e 1 + e ∑ k = 1 K ∑ l = 1 N c σ 2 β h b, k, l eq 2 Log ψ 2 β 2 h b, k, l eq 4 8 π K 2 N c 2 σ 4 e 1 + e ∑ k = 1 K ∑ l = 1 N c σ 2 β h b, k, l eq 2 (20).
To be inside the acceptance interval, the lower bound should be ≥80.00 % when rounded to two decimal places, and the upper bound should be ≤125.00 % when rounded to two decimal places.
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The gap between the lower and the upper bound should not be too large.
The upper bound should take into account the unpredictable burst of business requests.
Yet the metrics that make up this upper and lower bound should not be weighted equally.
The lower bound on the false positive rate is zero, and likely to remain there, but calculating an upper bound is something that should be added.
We remark that a fractal upper bound for resonances should be valid for more general quotients ( Gamma backslash mathbb {H}^n ) than the ones considered in [53] see Guillarmou Mazzeo [119] for results on meromorphic continuation in that case.
So the upper bound would be something like this.
This happens since the upper bound on would be less than the lower bound for any, that is,.
It should not come as a surprise that the upper bound proves to be a much better predictor of VMT and emissions than does the lower 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