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May 19, 2010 at 12:29 comment added Charles Stewart How about "For every x∈A, f(x) is prime"? I agree with "avoid", not with "[u]nder no circumstances": the issues are that (i) there's usually poor phrasing going on, and (ii) the typography is tricky.
May 17, 2010 at 2:43 comment added Noah Snyder I would avoid writing either of Keith's examples. For example "Writing m=[G:H], we see that mG is a subgroup of H" or "When x>0, certainly x^3>0."
May 16, 2010 at 22:17 comment added darij grinberg Consider arbitrary vectors v_1, v_2, ..., v_n, v_i being orthogonal to v_j for each i \neq j...
May 16, 2010 at 22:14 comment added darij grinberg We denote the action of g on v by g.v. w is invariant under G as...
May 16, 2010 at 19:33 history made wiki Post Made Community Wiki by Kim Morrison
May 16, 2010 at 17:47 comment added KConrad Oh! I did not think those two examples might be sneaky.
May 16, 2010 at 8:22 comment added Torsten Ekedahl Personally I must admit that both examples would take longer (though far from impossible of course) to parse than versions following Noah's rule. That I think should be the reason for doing it one way or other. (It is very tricky to apply such a principle however as it is very individual. I realised that after having done some programming I tended to put in more parentheses in formulas which probably makes them more difficult to read for some, perhaps most, mathematicians.)
May 16, 2010 at 5:36 comment added KConrad Writing m = [G:H], mG is a subgroup of H. (Here groups are abelian.)
May 16, 2010 at 5:17 comment added KConrad When x > 0, x^3 > 0 too. Hmm..
May 16, 2010 at 4:32 history answered Noah Snyder CC BY-SA 2.5