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The spacing between neighbouring modes increases with the mode order.
Separation of the pair orthogonal modes increases with growth of the eccentricity of the elliptical core.
The phase velocity of all modes increases with plasma frequency.
In addition, it is observed that the number of lasing peaks (i.e., random modes) increases with the reduction of θ.
From the mentioned figures, it is clear that the phase velocity of four modes increases with the plasma density for 1.3 GHz < f < 2.4 GHz.
The zero solution is unstable versus modes with (vert kvert L c (the number of such modes increases with L).
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Damping estimates of the fundamental modes increased with the increase of accelerations, while characteristics of mode-shapes were also found to be dependent on the wind speed.
Since the structural periods corresponding to the first few vibration modes increase with the increase of scour depth, this study finds that the sensitivity of the periods to the scour depth varies for different types of bridges.
As seen in these figures, the frequencies of all modes increase with plasma frequency for 0.5 < k < 0.8.
The frequencies of all modes increase with plasma frequency and the order of these frequencies is ωX-X > ωX-O > ωO-X > ωO O.
Results indicate that the frequency and the phase velocity of (X bp − X p ) and (O bp − X p ) modes increase with cyclotron frequency and for (O bp − O p ) and (X bp − O p ) modes decrease.
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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