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The equation of motion is solved by using perturbation analysis.
The low-frequency mode transition in the free in-plane vibration of beams with varying curvature and cross-section is examined by using perturbation analysis.
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Using perturbation analysis (or statistical coupling analysis), we examined site site interactions within the TPR motif.
Then, by using perturbation elements, we obtain the assertion.
In [19] single-bump bound states were obtained by using perturbation methods.
The dimension of each feature set is reduced by using perturbation method.
In the presence of two primary plate waves (Rayleigh-Lamb or shear horizontal modes) propagating in arbitrary directions, an explicit expression for the modal amplitude of nonlinearly generated wave fields with the sum or difference frequency of the primary modes is derived by using the perturbation analysis.
Worst case analysis using perturbation bounds from CS theory are applied to sparse channel estimation.
The velocity fields are obtained using a perturbation analysis.
A general model is developed and using a perturbation analysis six independent degenerate models are derived.
This result is arrived at using a perturbation analysis exactly as considered in the previous subsection.
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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