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The phrase "a smaller size of" is correct and usable in written English.
It can be used when referring to a specific dimension or quantity that is less than another size.
Example: "I would like to order a smaller size of the shirt in blue."
Alternatives: "a reduced size of" or "a lesser size of".
Exact(37)
The court ruled that the decision does not cover them in specially adapted property and they would have to move to another adapted property of a smaller size, of which there is a great shortage".
TEM studies showed a smaller size of palladium nanoparticles stabilized by the phytochemicals.
Meanwhile, loss of c30f12.4 resulted in a smaller size of lipid droplets (Fig. 4B).
Intuitively, a smaller size of prediction intervals indicates a higher efficiency.
More specifically, DFRST has a smaller size of kernel matrix [17].
The BCHP design with heat loading density optimization leads to a smaller size of all equipments comprising the heat pump.
Similar(23)
It can be explained by a small size of them.
A small size of them causes broadening of the XRD lines (Fig. 2).
A small size of approximately 1.3 nm in a diameter is observed.
The obtained products possess a small size of 10 30 nm and a good single-crystal structure.
A small size of the tube would develop a small gap which would better enclose injury limbs.
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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