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The phrase "a factor between" is correct and usable in written English.
It can be used when discussing the relationship or influence of one element in relation to another, often in contexts like mathematics, statistics, or analysis.
Example: "The study identified a factor between income levels and educational attainment that significantly impacts social mobility."
Alternatives: "an element among" or "a variable in relation to".
Exact(46)
The speedup of a factor between 10 and 11 is realized.
I will show our results: faster execution of most programs (by a factor between 1.5x and 20x), and smaller total memory usage for large programs.
Depending on the N2/C2H2 ratio, the microhardness value increases by a factor between 2 and 6.
The analytical derivatives improve the computational performance by a factor between 12 and 35 as compared to finite difference approximations.
For low maximum chain lengths of 1000, the improvement consists already in a reduction of the kMC operations by a factor between 103 and 106.
It is demonstrated that the implicit preconditioner can reduce the computational time of a well-tuned standard RK scheme by a factor between 4 and 10.
Similar(14)
The study employed a single factor between-subjects design, using a questionnaire completed by the patients.
This study is a single factor between-subjects design.
The study had a two-factor between-participants design.
Therefore, we added sex as another factor, which made the experiment a three-factor between-subjects design.
This trial involved a two-factor between-subject design (with/without baseline × relative/absolute risk reduction).
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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