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Discover Ludwig"by reaction" is a correct and usable phrase in written English.
It is typically used to indicate the cause of something, or how something was produced or achieved. Here is an example of how it could be used in a sentence: "By reaction to the recent controversy, the company decided to change its policies and issue a public apology."
Exact(59)
Sensitisation is detectable by reaction to a skin-prick test.
Illona and Sehrii Dorochenko, respectively 30 and 42, say they are "Ukrainian, by reaction".
The BBC said last week that it had been "thrilled" by reaction to the programme.
Esters may also be obtained by reaction of acid halides or acid anhydrides with alcohols or by reaction of salts of carboxylic acids with alkyl halides.
Acyl azides are prepared by reaction of nitrous acid and acid hydrazides or by reaction of an acyl chloride with sodium azide.
"American technology companies have been hurt by reaction to the revelation of the US government's bulk data collection," wrote Shapiro.
Sodium methoxide is produced on an industrial scale by reaction of sodium with excess methanol.
The real betrayal of constitutional reform would be a botched job, followed by reaction.
He adds that the bond market is moved by reaction as well as action.
Judging by reaction on Twitter, even diehard cynics praised its accuracy.
In one, ethylene is converted to 1,2-dichloroethane (ethylene chloride) by reaction with chlorine.
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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