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Two different algorithms are proposed, based on different ways of extracting the time derivative of the dependent variable by an appropriately defined inverse operator.
This command can be useful for extracting the time series for a single slice from a larger volume, presuming that the slice by time indices have been modified to be 1 by slice x time.
Thereafter, the pipe wall thinning (PWT) location is quantitatively evaluated by measuring signals at the optimum frequency range and extracting the time of flight (TOF) information corresponding to the PWT location.
In order to assess the dynamic behavior two alternative methods have been applied for adjusting experimental data to a first order dynamic response that allows extracting the time response and corresponding determination coefficient (r2).
Then, the image ({R}_{text{IIC}} left({mathbf {y}}right)) is obtained by extracting the time t = 0 from the pseudo-WDF, (Wleft( {mathbf{y}},t right)), of the wavefield (Uleft({mathbf{y}}, tright)): {R}_{text{IIC}} left({user2{{mathbf{y}}}}right) = W left ({user2{{mathbf{y}}}}, t =0right).
By extracting the time course from a seed voxel (physiological factor) and multiplying it with the learning curve (psychological factor) the interaction of the seed voxel's activity with learning was derived.
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Then, we detail our approach which consists of combining the modes for extracting the time-varying frequencies of the vocalizations.
This can be done by extracting the time-dependent phase of each oscillator (e.g. via Hilbert transform), plotting their joint probability distribution, and comparing it to the product of the individual distributions (again use surrogate datasets to test for significance).
By following the standard, programmers can write code to extract the time and date from the string above: 1615 hours, 30.5 seconds, July 9, 2003.
Equation 5 describes how to extract the time from the intruder velocity and the current distance between the intruder and his target [38].
If the ISRJ is detected and confirmed, the radar system has to extract the time points with great differences of TF energy distribution.
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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