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Discover LudwigSuggestions(5)
"approximately by" is correct and usable in written English.
You can use it when you are referring to a point in time or a certain degree of measurement. For example: "The temperature was approximately by 10 degrees Celsius."
Exact(60)
In the far field the integrals can be calculated approximately by the stationary phase approximation.
The first is a physics approach; it solves the linear equations approximately by the Grey Transport Approximation.
The North German Plain is divided into contrasting eastern and western portions, the division marked approximately by the Elbe valley.
By the 16th century Amsterdam had grown into a walled city centred on the present Dam, bounded approximately by what are now the Singel and the Kloveniersburgwal canals.
The financial aid formulas divide the parent contribution portion of the expected family contribution approximately by the number of children in college.
Irreversible electroporation methods showed temperature increasing approximately by 5 °C.
The growth of X s is hence given approximately by.
However, the strain at peak stress of Basalt reinforced composites (B3D, H3D) decreased approximately by 25%, while for K3D specimens it increased approximately by 15%.
Moreover, the grain yield of transgenic rice increased approximately by 10% compared with wild-type ZH11.
The redox potentials for these materials were found to be predictable approximately by quantum calculations.
The SOA is improved approximately by 75% for 4-finger devices with 0.7×10μm2 emitter.
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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