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The part of the sentence "influence is small" is correct and usable in written English.
You could use this phrase to emphasize the limited or insignificant effect a certain factor has on a matter. For example, "Even though the recent event was highly publicized, its influence is small and will likely not lead to any real change."
Exact(9)
However, we noticed that the influence is small between two distant elements.
We neglect fissiogenic 129I produced by spontaneous fission of 238U because its influence is small (Fehn et al.2000; Tomaru et al.2007a,[c],2009a,[b]).
Even though the subjective index influence is small, the accuracy of this method will be affected by the selection of basic value in quantization process [6].
In the first mode, the influence is small and there seems to be no increase in the natural frequency with liquid height.
However, the influence is small as can be seen in Fig. 6a though higher power rating is likely to give slightly higher system efficiency when the system is properly designed.
The hypotheses (i)–(iv) are, to our mind, justified because some smaller deformations within the gross shape of the calcarine sulcus are probably not systematic, and we assume that, on average, their influence is small compared to the curvature effects we investigate in this study.
Similar(51)
The zone of influence is smaller for PZT resonant modes of higher frequency.
Literature indicates that perceived susceptibility and perceived severity of a threat influences the intention to adopt protective behavior, although the influence is smaller and less consistent than that of the perceived response efficacy and perceived self-efficacy regarding the offered protective measure [ 34– 34].
They classified SNB as a "mostly remote" site where the total population influence, population variability, and total deposition influence are small.
Although P-wave velocities that were different from the true velocity was one factor generating the differences, the influence was small because the BSR depths below the seafloor were shallow.
We believe that the influence was small, because Taiwan is an island with no significant changes in outer exposures.
More suggestions(17)
influence is minimal
influence is minor
influence is weak
role is small
significance is small
outcome is small
strength is small
influence is narrow
importance is small
influence is low
influence is modest
clout is small
influence is limited
influence is reduced
influence is insignificant
influence is slight
influence is scarce
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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