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for the diameter changing vs for diameter changing

for the diameter changing vs for diameter changing which is much better to use in a sentence. Which is more popular in English form?

Looking on the internet deeply has found these results:

for the diameter changing is the most popular phrase on the web.

for diameter changing

11 results on the web

for the diameter changing

12 results on the web

More popular!

Some examples and use cases from the internet:

Some examples and use cases from the internet:
  • Unique differential device compensates linear velocity automatically for diameter changing of die cutting cover, to guarantee consistent precise die cutting.
  • for the diameter changing from 2 cm to 0.5 cm though it is not observed from ... dose enhancement along the central axis is observed for the diameter changing  ...
  • Nov 5, 1975 ... 2 is a wiring diagram for the diameter changing and diameter indicating mechanism of the rotor of FIG. 1. DESCRIPTION OF THE PREFERRED.

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