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By using a suitably constructed cone and fixed point theory for cones, the existence of multiple positive solutions was established.
By using a suitably constructed cone and fixed point theory for cones, the author proved the existence results of multiple positive solutions of problem (1.1).
By using a suitably weighted H∞ norm, the identification error measures the degradatior of the closed loop performance that is underlying the control design, due to the mismatch between the actual plant and the model.
By using a suitably rescaled form of time-harmonic Maxwell's equations, we derive a variational formulation that enables a direct numerical treatment of the associated class of boundary value problems by appropriate curl-conforming finite elements.
Such paths are found by using a suitably designed distance function from cell centers detected in all time steps of the 3D+time image sequence and by a backtracking in the steepest descent direction of a potential field based on this distance function.
In brief, by rapidly changing the optical path length through vibrations of a reflective membrane mounted over an acoustic transducer (ACS43, Altec Lansing, Milford, PA), and by using a suitably long integration time, the speckle artifact is averaged out.
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This step is accomplished by probing the function of interest using a suitably constructed FE model of spherical indentation, and establishing a compact spectral representation of the desired function using the discrete values obtained from the simulations.
Using a suitably lo-fi indie aesthetic, the film collates amateur clips shot by festival-goers with professionally shot performance footage and found footage of Butlins in days gone by.
Quantification of the distribution is reported using a suitably defined maldistribution factor.
Furthermore, the model behavior in free vibrations is assessed by using a direct iteration technique suitably modified for non-linear eigenvalue problems based on the QZ algorithm.
He also found that the alternation could be demonstrated with a suitably active male by using a variety of sounds whistles, percussion noises, and sounds made with his mouth.
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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