- #1
jgens
Gold Member
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Recently I went through a bunch of my old solution sets and realized that I've been quite sloppy with my use of punctuation; in particular, examining the quality of my writing in solution sets over a period time, it appears that the lack of proper punctuation is getting more and more pronounced. So, in an effort to fix this trend, I have been trying to use proper punctuation in all of my writing. However, today I came across a sentence that I am uncertain how to punctuate properly, and I was hoping that some of the member of PF could help me out on this one. Here is the sentence:
For each [itex]i \in \{1,\dots,n\}[/itex], write [itex]\alpha_i = b_{i1}\beta_1+\cdots+b_{in}\beta_n[/itex], where [itex]b_{i1},\dots,b_{in} \in \mathbb{Z}[/itex].
My question is whether or not the commas used above are correct and/or necessary. Off the top of my head, I can't think of any rules that necessitate the use of the commas, but when I write the sentence above, I am naturally inclined to use the commas.
Edit: I suppose that since [itex]b_{i1},\dots,b_{in} \in \mathbb{Z}[/itex] is technically a noun, I should write something like "... with [itex]b_{i1},\dots,b_{in} \in \mathbb{Z}[/itex]" instead.
For each [itex]i \in \{1,\dots,n\}[/itex], write [itex]\alpha_i = b_{i1}\beta_1+\cdots+b_{in}\beta_n[/itex], where [itex]b_{i1},\dots,b_{in} \in \mathbb{Z}[/itex].
My question is whether or not the commas used above are correct and/or necessary. Off the top of my head, I can't think of any rules that necessitate the use of the commas, but when I write the sentence above, I am naturally inclined to use the commas.
Edit: I suppose that since [itex]b_{i1},\dots,b_{in} \in \mathbb{Z}[/itex] is technically a noun, I should write something like "... with [itex]b_{i1},\dots,b_{in} \in \mathbb{Z}[/itex]" instead.