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The HP method minimizes the variance of a series around a parameter that approaches a linear trend [16, 17].
The information extracted from the registered spectra was treated and then modeled following two different chemometric approaches: a linear one based on multiple linear regression models, and a non-linear one based on the employment of artificial neural networks.
For large Im, the LIF firing rate asymptotically approaches a linear dependence on input current.
Conversely, fertilization success approaches a linear function of hermaphrodite frequency, implying substantial pollen limitation, when a is high.
For relatively long wavelengths, ω(k) always approaches a linear relationship with a slope of for all PhCs, where and are the speed of light in vacuum and an effective refractive index for a given polarization.
Within an observational longitudinal dataset, we compared three techniques; two 'standard' approaches (a linear mixed model, and a Poisson mixed model), and a two-part joint mixed model (a binomial/Poisson mixed distribution model), including random intercepts and random slopes.
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Based on a Lyapunov approach, a linear control law and the state-space region in which this control law is activated are determined.
By means of the eigenfunction expansion method and a least square approach, a linear analytical solution is developed for the interaction of water waves with the breakwater.
Here we see that at low bias the slope of the curve is constant, and at high bias the curve turns down, approaching a linear behavior with a reduced slope.
In the online phase of this approach, a linear ROM is constructed in real-time at a queried but unsampled parameter point by interpolating the pre-computed linear reduced operators on matrix manifolds and therefore computing an interpolated linear ROM.
In the second approach, a linear structure modeling is implemented prior to PCA processing in an effort to enhance the results since cracks can be detected as linear structures.
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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