Your English writing platform
Discover LudwigSuggestions(1)
Exact(6)
With multiple modes active, higher modes initially decay rapidly while lower modes decay relatively slowly.
For the transverse magnetic (transverse electric) modes, as the dielectric constant of the substrate increases, the loss increases (decreases), the modes decay much quickly (slowly) into the air.
The damping of the longitudinal vibration mode of the DNA molecules is fairly small in a small volume of aqueous solution [20], though the DNA vibrational modes decay quickly.
The results presented indicate that this approach provides an easy and effective route to the design of feedback controllers provided that a large frequency separation is kept between the slowest eddy current modes decay rate and the closed-loop poles.
However, once the fiber's diameter drops below a critical value, known as the single mode cut-off diameter, only a single guided mode remains in the fiber, labeled the hybrid H E 11 mode [49], as all other spatial modes decay evanescently.
However, the design is such that only the dominant mode reaches the output port; the other modes decay much more rapidly between the capacitors.
Similar(54)
But in a small volume of aqueous solution, the DNA longitudinal vibrational modes decayed slowly, while the other vibrational modes remain strong attenuation [22].
since for trace-class noise we know that λ N → 0. If we formally require that ( ϕ t N, N ) ′ + α ϕ t N, N = 0 for N sufficiently large, then the higher-order Galerkin modes decays exponentially in time ϕ t N, N = ϕ 0 N, N e − α t.
An experimental cantilever beam was constructed to examine the first mode decay in torsion under the influence of the actuators.
The theoretical and experimental decay histories of the first torsion mode decay indicate a reduction in decay time for the controlled beam of greater than 10 times that of the uncontrolled beam.
Two kinds of deformation modes are obtained: (i) classic deformation modes, being associated with a null eigenvalue, requiring an adequate computation of a Jordan chain and (ii) higher order modes corresponding to the non-null eigenvalues, allowing to measure the mode decay along the beam axis.
Write better and faster with AI suggestions while staying true to your unique style.
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