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Here, we directly derive propagation constants as a function of frequency.
The problem formulations are presented in the subspace framework to directly derive the control law and LQG trade-off curve without need of the conventional parametric models.
Afterwards, the variational differential quadrature (VDQ) rule is utilized to directly derive the discretized form of nonlinear governing equations of motion on the space domain.
Taking this one step further, beginning with the integro-differential equation governing light transport in such a medium, and by applying certain simplifying assumptions, one can directly derive the over operator!
Do they directly derive from the perception of actions and facial expressions (Gallese, 2001; Gallagher, 2005)?
Our theorems directly derive the main results of Berinde [4, 5].
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"It was directly derived from airport abbreviations," said Geoffrey Cook, managing director of Base.
Executives should be required to return all compensation directly derived from proven misconduct.
The Y2D is directly derived from first-principles total energies as a function of uniaxial strain.
The load functions are directly derived from 2D equilibrium equations.
With thanks to Rogers and Rhor, the current smaller exhibition has been directly derived from it.
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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