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The phrase "a small weighting" is correct and usable in written English.
It can be used in contexts where you are discussing the importance or influence of a particular factor or variable in a decision-making process or analysis.
Example: "In our analysis, we assigned a small weighting to the environmental impact of the project, as it was not the primary concern."
Alternatives: "a minor weight" or "a slight emphasis".
Exact(3)
Accordingly, a large mismatch in χ leads to a small weighting factor.
When the amount of adaptation data is increased to eight or ten sentences, a small weighting factor of 10 performs best.
Setting a large error value for a certain station's data is equivalent to applying a small weighting to it in the sum.
Similar(57)
One end of the center line has a snap onto which you'll attach a small weight, diamond jig, or other weighted lure.
But the GP knows a small weight's been lifted off this lady's shoulders today.
"You use an unequal-armed balance, with a small weight on the long arm and the meat on the short arm".
Also, since so many calories are excreted through the urine, dapagliflozin causes a small weight loss while many other diabetes drugs cause weight gains.
He suited me up in a mask and fins, a small weight belt and child-size air tanks and gently introduced me to a whole new universe.
Buckle Up (4.10) caught the eye behind Private Passion at Kempton and, with a small weight pull, makes some appeal at more than twice the odds of the favourite.
Shares of Regeneron Pharmaceuticals lost more than half their value yesterday after the company reported that its obesity drug produced only a small weight loss in its first large-scale clinical trial.
A small weight loss, detected by isothermal TG analysis confirmed the H2 effusion.
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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