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The complex filter coefficients are obtained by solving a set of closed form linear equations derived from the design specification.
However, in two spatial dimensions the interface is more naturally a closed curve (or a set of closed curves).
The interface is described by a set of closed lines which define a coarse Lagrangian quadrangular mesh in the fixed computational grid.
Another is that the control parameters can be directly computed using only a set of closed loop input/output data and the desired output signal.
We present a technique whereby an arbitrary radial charge distribution may be convolved with any multiple electrode structure, which can be defined as a set of closed polygons, to calculate total charge deposited on each electrode.
Using the loft command, a free surface of the cell was constructed from a set of closed curves of cell outlines and an additional very small circle that was 0.5 or 1 m above the top slice.
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And his moment of greatest peril came not during the famous public events of the Monica Lewinsky crisis but, rather, during a set of closed-door negotiations that have remained to a great extent secret.
In this method, a set of closed-loop plant data are directly exploited without using a process model.
A set of closed-form solutions is derived for the correlations between the process parameters and the thermo-mechanical responses of the plastic region in the welded joint.
In this paper, a set of closed-form analytical solutions for residual bending capacity are developed for pipelines with idealized corrosion geometries, namely, constant-depth, elliptical, and parabolic corrosions.
The proposed design method directly exploits a set of closed-loop process data without requiring the use of a process model; therefore, it can be applied online to improve the performance of existing underperforming controllers.
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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