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The phrase "a mode appears" is correct and usable in written English.
It can be used in contexts where you are describing the emergence or manifestation of a particular mode, such as in discussions about behavior, technology, or art.
Example: "In the latest version of the software, a mode appears that allows users to customize their interface."
Alternatives: "a mode emerges" or "a mode is revealed".
Exact(1)
Thus, if the current exceeds the critical value j c, a mode appears with a complex frequency whose the real part is determined by line V, and the imaginary part (growth rate) by line VI in Fig. 1.
Similar(59)
The width of the photonic band gap increases by 80 nm and a defect mode appears at a central wavelength of 680 nm when a 150 nm LiNbO3 layer is inserted into the Si/C60 PC structure.
This method is based on the following scenario of fatigue crack growth: (i) a shear mode crack initiates and grows from the stress concentration site, (ii) a crack opening mode appears when the shear crack reaches the first grain boundary, (iii) the crack mode shifts from shear to opening/closing, (iv) opening/closing mode crack propagates.
This same bimodal pattern can be seen in the frequency distribution of personal empowerment (i.e., ability to avoid infection) shown in figure 4. While most respondents indicate that they are confident they can avoid infection, a substantial second mode appears at the intermediate value.
3) Effects of DFIG on the introduction global electromechanical mode are as follows: when DFIG is connected to the sending power side, the damping ratio decreases with an increase of DFIG penetration, and an unstable oscillation mode appears when DFIG is connected to the receiving power side. .
Effects of DFIG on the introduction global electromechanical mode are as follows: when DFIG is connected to the sending power side, the damping ratio decreases with an increase of DFIG penetration, and an unstable oscillation mode appears when DFIG is connected to the receiving power side.
Rumors of LA being stuck in a transitional mode appear to be greatly exaggerated.
The inheritance pattern in the family was unclear although a recessive mode appeared most likely.
One of modes (the primary mode) appears as a result of beam-plasma instability, other modes — as a result of parametric decay of primary mode to the secondary Langmuir wave and lower-hybrid wave (or as a result of decay cascade).
In the complexes 1 3, the dispersal of negative charge extends upto keto group and accordingly the band with respect to C = O stretching mode appears at a lower frequency region i.e. at ~1680 cm−1 than the normal value 1720 cm−1.
On the other hand, the SPR mode appears as a dip in the spectrum, which becomes more prominent as film thickness increases, thereby showing a transition from LSPR to SPR mode.
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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