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A math question

Unless you have finished the book, I'd hold off on that question. I have a feeling it will get answered.
Done, but there are two more books in the series.
I noticed you used the expression "railed." The characters in the book use that expression. Did you get that from the author or is it something you normally say?
 
The squiggle line means "approximately equal to".

Regarding A3, the 3 is a subscript -- not a superscript. As such, it means the 3rd element is the set of A{}.

Note: CS people would say that it represents the 4th element, but mathematicians start subscripts at 1 -- not 0.
Thanks, that would make sense in the context of the book.
 

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