Does one put a comma after linking phrases such as "To this end, we denote …", "For the purpose of the proof, we introduce an alternative notation …" etc. in formal (scientific, mathematical) writing?
I suppose the question is more complicated than a simple yes–no and there may be cases where the comma is expected and when it's unexpected, so I'm probably looking for some rule of thumb. I prefer British rules if that matters.
Best Answer
I think it is needed that you put a comma after it unless it has come at the end of the sentence. I don't see any difference between this and a phrase like "in my opinion", which a comma certainly comes after it.