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4 votes
1 answer
273 views

The most explicit way of partitioning the reals into two dense subsets with positive measure

In @UmbertoP's response to the question, "Partition of real numbers into dense subsets of positive measure," the answer is understandable to a advanced undergraduate; however, I have ...
Arbuja's user avatar
  • 1
1 vote
0 answers
117 views

Guidance on a proof regarding the uniqueness/existence of the nth root of x.

So in a previous proof I had to show that given $y\in\mathbb{R},n\in\mathbb{N}$ and $\epsilon >0$, show that for some $\delta>0$, if $u\in\mathbb{R}$ and $|u-y|<\delta$ then $|u^n-y^n|<\...
Chris's user avatar
  • 3,431