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In other words, the observations x of the motion are converted into the trajectory of virtual attractors y for each arm-index.
The equations of motion are converted in the frequency domain using a Fourier Transform and they are solved for frequency displacements using the assumed modes method.
IntEmployingonances are found and the ensuing multimodal oscillations are described.
The differential governing equations of motion are converted into algebraic equations by assuming the deflection and rotation of the beam in harmonic forms with respect to time and space.
By combining the Galerkin method with the harmonic balance method, the equations of motion are converted into a quadratic function treated with a continuation method: the Asymptotic Numerical Method, where the generalized displacement vector is presented as a series expansion.
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In the interior of the bubble, the radially flowing stellar wind passes through a transition in which its radial motion is converted into heat.
In magnetic damping, energy of motion is converted to heat by way of electric eddy currents induced in either a coil or an aluminum plate (attached to the oscillating object) that passes between the poles of a magnet.
Figure 6 A human full-body motion is converted to multiple descriptive sentences.
Using the harmonic balance method, the equation of motion is converted into non-linear algebraic form.
Using the harmonic balance method, the equation of motion is converted into a nonlinear algebraic form.
Using the harmonic balance method and Hamilton's principle, the equation of motion is converted into an operational formulation.
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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