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The phrase "and the corresponding estimation" is correct and usable in written English.
It can be used when referring to an estimation that is related to or matches a previously mentioned item or data point.
Example: "The report includes the total costs and the corresponding estimation of future expenses."
Alternatives: "and the related estimate" or "and the matching estimation".
Exact(9)
For any variable X, we denote its corresponding estimated version by X ̂ and the corresponding estimation error by ΔX ≜ X − X ̂.
For the th user, with channel, the channel estimate is denoted as and the corresponding estimation error is according to.
We denote the MMSE estimate of h i, m as and the corresponding estimation error as δi, m.
Integrating both we introduce a retrospective timer-module for ACT-R 6.0 and the corresponding estimation algorithm.
If a PMU is compromised, it will be detected by comparing the PMU data and the corresponding estimation results.
Particle filters are tools that generate this set of samples and the corresponding estimation of the posterior distribution.
Similar(51)
From such requirement, a transfer function from the external noises to the estimation error is first obtained, and then the corresponding estimation error variance is minimized with respect to the filter gains while keeping its H∞ norm bounded.
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.
This is more illustrated by Figs. 14 and 15 where the corresponding estimation error is almost equal to 0.4 and the variance of (widehat {bar {theta }}_{1}) is near to 0.2.
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 assume that the plant dynamics and measurements are affected by noise and we guarantee an input-to-state stability property for the corresponding estimation error system.
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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