The phrase "achieved bounds" is correct and usable in written English.
It can be used in contexts where you are discussing limits or goals that have been reached or established.
Example: "The project has successfully achieved bounds that were previously thought to be unattainable."
Alternatives: "reached limits" or "attained thresholds".
Therefore, we can estimate both the lower and upper limit on I YFP; Msn2) and thus achieve bounds on I YFP; Msn2).
A promising theoretical direction is in inference and inversion techniques that exploit scene priors, sparsity, rank, meaningful transforms, and achieve bounded approximations.
Stability analysis shows that the adaptive controller guarantees the boundedness of all the closed-loop signals and achieves bounded tracking error.
Stability analysis shows that both adaptive controller guarantees the boundedness of all the closed-loop signals and achieves bounded tracking error.
There are k machines with speed s and hierarchy 1 which can process all the jobs, while the remaining m−k machines with speed 1 and hierarchy 2 can only process jobs with hierarchy 2. For the model with the objective to maximize the minimum machine completion time, we show that no online algorithm can achieve bounded competitive ratio, i.e., there exists no competitive algorithm.
Overall, all of these existing 3D structures cannot achieve bounded node degree.
They proposed an algorithm that achieve bounded stretch factor and bounded load-balancing ratio (the constant bounds are and resp).
Minimum guarantee is achieved by bounds on the number of resources that can be assigned to each class.
The robustness of identification errors towards unknown disturbances (data uncertainties, modelling errors, etc). is achieved by bounding (i.e. minimizing) the maximum possible value of energy-gain from disturbances to the identification errors.
This goal is achieved by bounding the transmission windows of the messages in each one of the intervening networks, and then, taking advantage of the properties of timetriggered systems, making such transmission windows starting as soon as possible.
