Proof verification that $\overline{\mathbb{R}^{\infty}} = \mathbb{R^\omega}$ and $\overline{\mathbb{R}^{\infty}} = \mathbb{R^\infty}$ in prod/box top.

score 301 · Answer 9 · 2026-03-23 20:25:53

301

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Show that there exists an open interval $(a,b)$ such that $m(E\cap(a,b)) > \frac{1}{2}m(a,b) > 0$ when $m(E) > 0$

Published on 23 Mar 2026 - 20:25

score 148 · Answer 10 · 2019-01-19 12:34:40

148

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For natural $n$, let $1=d_1<d_2<\cdots<d_k=n$ be the positive divisors of $n$. Find the smallest $n$ such that $2n=d_5^2+d_6^2-1$

Published on 19 Jan 2019 - 12:34

score 4.9k · Answer 11 · 2019-01-20 01:52:02

4.9k

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Prove that for all integers $n$ if $3 \mid n^2$, then $3 \mid n$

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score 111 · Answer 12 · 2019-01-21 19:33:48

111

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Proving that $\mathbb{N}$ isn't bounded from above using Bolzano-Weierstrass

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score 85 · Answer 13 · 2019-01-24 17:36:36

85

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Find mistake in Fourier series calculation.

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score 1.4k · Answer 14 · 2019-01-26 19:46:07

1.4k

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Use formal definition of a limit of a sequence to prove the following:

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score 79 · Answer 15 · 2019-01-28 03:59:14

79

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Prove that $(A \triangle C) \cap (B \triangle C) \subseteq (A \cap B) \triangle C$

Published on 28 Jan 2019 - 3:59

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