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The phrase "with different intensity" is a perfectly correct and usable phrase in written English.
You can use it to contrast the various levels of intensity with which something is done or experienced. For example, "The students experienced the exam with different intensities, ranging from extreme anxiety to calmness and confidence."
Exact(60)
A large number of bands with different intensity were present, presumably reflecting the difference in abundance of different bacterial ribotypes.
Some studies reported using 'hot spots' (or areas of intense staining) for the assessment, whereas others used fields with different intensity of staining giving the result as a mean value.
It forces the eye to see with different intensity and variety.
In stereo records, the left and right channels then respond with different intensity and phasing.
The photosensitivity of the Kerr-polymer induces the variation of refractive index under illumination of pump light with different intensity.
Significant policy actions towards the promotion of energy-efficiency in the building sector have been developed with different intensity and structure.
Locations were selected in endemic foci of TBE with different intensity, which were identified according to the presence of human disease.
Summer drought impacted beech growth with different intensity at different elevations, depending on the onset and duration of the growing season.
Moreover, by considering ten ground motions that represent earthquakes with different spectral contents, the seismic responses of the prototype PFPI-FIS under these ground motions with different intensity level are simulated extensively.
Moreover, the study outcomes found that the influence of process uncertainty is different for stormwater quality predictions corresponding to storm events with different intensity, duration and runoff volume generated.
Reliable performance evaluation of wastewater treatment plants (WWTPs) can be done by simulating the plant behavior over a wide range of influent disturbances, including series of rain events with different intensity and duration, seasonal temperature variations, holiday effects, etc.
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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