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For the majority of other end conditions, when the frequency equation does not factorise, one may think in terms of pseudo-second spectrum contributions arising when evanescent waves become propagating above the cut-off frequency ωco="κAG/ρI, and it is conjectured that these may have a corrupting effect on the frequency predictions.
If k θ is compressed enough at the outer boundary so that k r becomes real value, evanescent waves becomes propagating waves at the outside of the hyperlens, enabling far-field propagation of the sub-diffraction information.
Despite convincing evidence of efficacy with respect to student learning, most will struggle to become successfully propagated to reach widespread use.
By continuously increasing the intensity of volumetric heat loss, the flame eventually is detached from the burner and becomes freely propagating.
While essential processes of the chorus generation occurring in the region close to the magnetic equator can be well described by the assumption of the parallel propagation, observation results have revealed that generated chorus elements become oblique and propagate across field lines in the region away from the equator (e.g., Santolík et al. 2003).
The acting school, founded by the late Lee Strasberg, has become famous for propagating the method approach to acting and counts Dustin Hoffman, Robert De Niro and Al Pacino amongst its alumni.
Ultrasonic surface (Rayleigh) waves become dispersive when propagating on non-uniformly stressed media.
For blacks to affect history, they must become civilized, and propagate civilizing reason to push history forward.
This means that upgoing S waves with various slownesses in the mantle become near-vertically propagating S waves within the sediment layer.
Elements receiving the propagated waves become part of the wavefront.
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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