Question

Is $\mathbb{R}$ the disjoint union of finitely many congruent dense sets?

score 243 · Answer 1 · 2017-01-25 01:44:58

243

Views

Is $\mathbb{R}$ the disjoint union of finitely many congruent dense sets?

Published on 25 Jan 2017 - 1:44

score 74 · Answer 2 · 2017-01-25 18:30:41

74

Views

Convergence of a generic series

Published on 25 Jan 2017 - 18:30

score 172 · Answer 3 · 2017-01-26 14:00:12

172

Views

$ \lim_{n \rightarrow \infty} \frac {a_n}{b_n} = \alpha$ where $a_n$ converges to infinity but $b_n$ diverges.

Published on 26 Jan 2017 - 14:00

score 63 · Answer 4 · 2026-03-30 12:21:22

63

Views

Find a continuous function , Riemann integrable on $\mathbb{R}_+$ which does not tend to zero

Published on 30 Mar 2026 - 12:21

score 268 · Answer 5 · 2017-01-26 21:22:56

268

Views

Compact Hausdorff implies Bolzano

Published on 26 Jan 2017 - 21:22

score 529 · Answer 6 · 2017-01-26 22:34:21

529

Views

If a measure is a sum of finite measures then the underlying space must not necessarily be $\sigma$-finite

Published on 26 Jan 2017 - 22:34

score 364 · Answer 7 · 2017-01-28 11:44:07

364

Views

Compositeness test for specific class of $N=k \cdot b^n-1$

Published on 28 Jan 2017 - 11:44

score 53 · Answer 8 · 2017-01-29 14:27:30

53

Views

Can we deduce that the only solution is $x=a$

Published on 29 Jan 2017 - 14:27

score 239 · Answer 9 · 2026-04-04 00:39:31

239

Views

Example of affine scheme $X=\operatorname{Spec} R$ and irreducible $U\subset X$ such that $\mathcal{O}(U)$ is not a localisation of $R$

Published on 04 Apr 2026 - 0:39

score 1.9k · Answer 10 · 2017-01-30 23:19:01

1.9k

Views

Examples of homeomorphic topological spaces

Published on 30 Jan 2017 - 23:19

score 1k · Answer 11 · 2026-03-26 06:27:53

1k

Views

Counter example for uniqueness in Poisson equation with Robin Boundary conditions.

Published on 26 Mar 2026 - 6:27

score 683 · Answer 12 · 2026-03-30 14:01:06

683

Views

Uniform Continuity exercise

Published on 30 Mar 2026 - 14:01

score 47 · Answer 13 · 2017-01-31 19:57:32

47

Views

Show, by example, that if $\rho_a,\rho_b>0$ is possible that $\rho_{ab}>\max\{\rho_a,\rho_b\}$

Published on 31 Jan 2017 - 19:57

score 79 · Answer 14 · 2017-02-01 12:43:36

79

Views

Function continuity and uniform continuity

Published on 01 Feb 2017 - 12:43

score 3.1k · Answer 15 · 2026-03-29 03:21:51

3.1k

Views

Examples of interesting and creative problems about differentiation (in one variable)

Published on 29 Mar 2026 - 3:21

List Question

Is $\mathbb{R}$ the disjoint union of finitely many congruent dense sets?

Convergence of a generic series

$ \lim_{n \rightarrow \infty} \frac {a_n}{b_n} = \alpha$ where $a_n$ converges to infinity but $b_n$ diverges.

Find a continuous function , Riemann integrable on $\mathbb{R}_+$ which does not tend to zero

Compact Hausdorff implies Bolzano

If a measure is a sum of finite measures then the underlying space must not necessarily be $\sigma$-finite

Compositeness test for specific class of $N=k \cdot b^n-1$

Can we deduce that the only solution is $x=a$

Example of affine scheme $X=\operatorname{Spec} R$ and irreducible $U\subset X$ such that $\mathcal{O}(U)$ is not a localisation of $R$

Examples of homeomorphic topological spaces

Counter example for uniqueness in Poisson equation with Robin Boundary conditions.

Uniform Continuity exercise

Show, by example, that if $\rho_a,\rho_b>0$ is possible that $\rho_{ab}>\max\{\rho_a,\rho_b\}$

Function continuity and uniform continuity

Examples of interesting and creative problems about differentiation (in one variable)

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