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Exact(2)
At the next stage, we investigated distortions to the elevation and virtual height patterns caused by an arbitrary phase offset, ΔΨ.
Using (12) and taking into account that the cost function in (10) is not affected by an arbitrary phase rotation of w, the problem of (11) can be described in this form: maximize w E G w H y ^ 2, subject t o w H c 1 − δ w ≥ 1 (13).
Similar(58)
where, is an arbitrary phase and, being the fractal dimension of the self-similar structure defined by.
where s ∈ R is an arbitrary phase shift.
γ is a parameter larger than 1. ϕ n is an arbitrary phase.
Observe that an arbitrary phase rotation can be added to the beamformers without affecting the SINRs.
These columns h pr (f) are observed only up to an arbitrary scale common to all r and an arbitrary phase rotation specific to each r.
A special case is the Weierstrass function which is an example of a function continuous everywhere but differentiable nowhere: (3.1) where, is an arbitrary phase and, being the fractal dimension of the self-similar structure defined by.
Periodic input control is a control method that can synchronize an input and an output with an arbitrary phase difference.
First, we follow the principle of equal optical path length to realize arbitrary phase transformations by a flat configuration, adopt a nonlinear coordinate transformation to ensure impedance match, and preserve the dispersion relation to render the device nonmagnetic.
Not sending the phase coefficients allows for arbitrary phase shifts instead of a quantized set such as used for PTS.
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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