English Language & Usage Asked on March 28, 2021
Is it appropriate to use "that is" followed by a colon when defining something formally? I have the following example:
Let γ be the set of groups that hold variables accessed by C, that is:
γ = {g : ∃v accessed by C, such that v ∈ g}.
Would that be appropriate in terms of punctuation and style?
With regard to punctuating that is, we follow Jane Straus's Blue Book of Grammar and Punctuation. It is preferable to use a semicolon before that is and a comma after is.
XXX; that is, XXX.
With regard to the best way to define something formally, that is not in the scope of this site.
Answered by user2683 on March 28, 2021
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