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For any variable X, we denote its corresponding estimated version by X ̂ and the corresponding estimation error by ΔX ≜ X − X ̂.
The set-membership observer provides a deterministic state interval that is build as the sum of the estimated system states and its corresponding estimation errors bounds.
For the th user, with channel, the channel estimate is denoted as and the corresponding estimation error is according to.
For a grid of λ and each bootstrap sample b, the functions of each predictor j are estimated as described above using the corresponding estimation set of each b.
We denote the MMSE estimate of h i, m as and the corresponding estimation error as δi, m.
After that, by defining an error variable, the corresponding estimation error system is formulated.
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When a fault is detected, the measurements that are inconsistent with their corresponding estimations are annotated and a fault isolation procedure is triggered.
Twelve lags were then imposed on the corresponding estimations with instruments.
Still, one can note that the corresponding estimations without controlling for unobserved heterogeneity presented in Additional file 1: Table A1 in the Appendix show fairly robust results.
Figure 4a shows the geomagnetic field measured during the June 22 , 2016 storm at BRD and the corresponding estimations of the geoelectric field calculated via Eq. 3. In Fig. 4a, (B_{x}(t)) is represented in black and (B_{y}(t)) in green.
For all the other chromosomes, most of the corresponding estimations show no significant correlations (supplementary fig. S13, Supplementary Material online).
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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