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Digital systems have finite precision, which imposes a maximum bound on the accuracy of the results of the computed mathematical operations.
If we adopt the Lee criterion, we can obtain the most stable error feedback filter by minimizing (43) subject to ||ε|| ∞ ≤c, where c is the maximum bound on the weighted quantization noise ε, by using LMIs in (41), (42), and (44).
The maximum bound on the root was specified using the posterior distribution published in the original study.
We specified this calibration as well as a maximum bound on the root as of 18 Ma using the RootAge (MCMCTREE) and Bigtime (MULTIDIVTIME) control variables.
Second, we added a '<1.4' maximum bound on the root, which Lalueza-Fox et al. [ 43] reported as the earliest likely time for the origin of this radiation.
To put these MARD values in perspective, we calculated the maximum bound on the MARDs for each of the three devices by randomly shuffling the paired CGMG and PG values for each dataset and recalculating the MARDs (see Supplementary Data for details).
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The stitched trajectory must not be longer than a generous maximum bound of 45 min on the duration of the centrosome cycle.
These conditions are expressed in the form of linear matrix inequalities, that depend on the maximum bound of the time delay and the desired decay rate of the system.
Two further constraints were placed on the age of the root, which was given a minimum bound of 64 MYA and a maximum bound of 110 MYA.
But when the hysteresis effect exceeds the maximum bound, an inverse-hysteresis feedforward controller based on the Prandtl Ishlinskii hysteresis model is used to compensate for the nonlinearity.
The 'soft' maximum bound represents the oldest age for a divergence that, in our opinion, appears feasible based on current molecular and palaeontological evidence.
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Write better and faster with AI suggestions while staying true to your unique style.
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