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They are using a different notion of “measure” than the standard notion of absolute value of the difference. Under the standard measure every number is within
by syki 5y ago
They are using a different notion of “measure” than the standard notion of absolute value of the difference. Under the standard measure every number is within epsilon distance of a rational for any positive epsilon. Thank you for the clarification.
- pfortuny 5y agoYes, of course. Sorry. It is an asymptotic result, so the meaning of "distance" is very blurry in my statement. I was replying to the previous comment which seemed to imply that knowledge.
- syki 5y agoI’ve never seen this before so thanks for the links and clarification. I learned something new.