Mathematical English Usage - a Dictionary

by Jerzy Trzeciak


[see also: as, because] Since f is compact, we have Lf=0.

Since f is compact, it follows that Lf=0. [Not: “Since f is compact, then Lf=0.”]

[Make sure the reader knows which part of a sentence beginning with Since is the premise, and which is the conclusion: instead of writing: “Since A=B, B=C, C=D, A=C'', write e.g.: Since A=B and B=C, and since moreover C=D, it follows that A=C.]

 The argument is a variant of one in [5] and has been used several times since.

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