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Discover LudwigThe phrase 'based on this definition' is correct and usable in written English.
You can use it when you are referring to a definition or explanation that has previously been presented. For example: "Based on this definition, we can see that the word 'perplexing' means to be confusing or puzzling."
Exact(60)
Based on this definition, one has to calculate the total amount of spending that takes place in the economy in order to estimate the country's GDP.
Based on this definition we asked how one could explain the relation between stem cell lineages and tissue fates?
Based on this definition patients were divided into two groups; one group of responders and one group of non-responders.
Based on this definition, the eight countries on the centre-left together comprise about 32.5% of the EU's population.
Based on this definition of "fumble," if an official deems your fumble to be legitimate, a player pretty much has free rein to move without dribbling.
Based on this definition, the expected value operator of birandom variable and chance measures of birandom event are further introduced.
Based on this definition of safety, we established a safety indicator used at the earliest design phases based.
Based on this definition, SVs for a typical linear phased-array transducer were simulated using custom-designed software.
What are we already doing well, based on this definition?
Based on this definition, consensus-making algorithms are formulated.
Based on this definition, we give some new definitions.
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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