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Sep 18, 2015 at 23:17 history edited Nate Eldredge CC BY-SA 3.0
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Sep 18, 2015 at 22:33 comment added Iosif Pinelis This nicely rounds up the solution of the problem. My only, very minor suggestion here is to remove the assumption $\epsilon<1$ (which may need some justification) and then replace the condition $\|\omega-\tilde{\omega}\|<\epsilon$ by $\|\omega-\tilde{\omega}\|<1\wedge\epsilon$.
Sep 18, 2015 at 17:17 history answered Nate Eldredge CC BY-SA 3.0