Question

Example of series such that every $\sum_{i=1}^{\infty} b_{n_i}$ converges but $\sum_{n=1}^{\infty} |b_n|$ diverges

score 107 · Answer 1 · 2018-08-26 23:36:01

107

Views

Example of series such that every $\sum_{i=1}^{\infty} b_{n_i}$ converges but $\sum_{n=1}^{\infty} |b_n|$ diverges

Published on 26 Aug 2018 - 23:36

score 275 · Answer 2 · 2026-03-24 23:42:43

275

Views

Associative, non-commutative, non-trivial, analytic binary operation

Published on 24 Mar 2026 - 23:42

score 1.3k · Answer 3 · 2018-08-29 10:27:11

1.3k

Views

Proving that greedy algorithm on TSP does not produce optimal solution

Published on 29 Aug 2018 - 10:27

score 1.3k · Answer 4 · 2026-03-25 11:11:43

1.3k

Views

Counterexample: Convex set which is NOT the intersection of half-spaces

Published on 25 Mar 2026 - 11:11

score 687 · Answer 5 · 2018-08-30 17:08:39

687

Views

Prove or find a counterexample

Published on 30 Aug 2018 - 17:08

score 96 · Answer 6 · 2026-03-25 14:00:29

96

Views

Example of when $E^{H} \neq E^{\text{Aut}(E/E^H)}$?

Published on 25 Mar 2026 - 14:00

score 111 · Answer 7 · 2026-03-25 03:01:24

111

Views

Example $4.10$ - Counterexamples in Probability and Real Analysis by Gary L. Wise and Eric B. Hall

Published on 25 Mar 2026 - 3:01

score 341 · Answer 8 · 2018-09-03 22:59:41

341

Views

Does the domain of integration have to be convex?

Published on 03 Sep 2018 - 22:59

score 342 · Answer 9 · 2018-09-04 00:34:55

342

Views

Pathological examples of compact sets in analysis

Published on 04 Sep 2018 - 0:34

score 766 · Answer 10 · 2018-09-04 08:24:04

766

Views

Examples for essential/superfluous submodules

Published on 04 Sep 2018 - 8:24

score 150 · Answer 11 · 2026-03-26 17:42:25

150

Views

If $f(x)$ is a polynomial and $f(n)$ is an integer for all $n\in \mathbb{Z}$, then $f(x)$ must have integer coefficients.

Published on 26 Mar 2026 - 17:42

score 74 · Answer 12 · 2026-03-25 16:06:45

74

Views

Why is this counterexample to an established result wrong?

Published on 25 Mar 2026 - 16:06

score 102 · Answer 13 · 2026-03-22 04:45:23

102

Views

To be concave on $[0,1]$, $f(t)\leq f(0)+tf'(0)$ is enough?

Published on 22 Mar 2026 - 4:45

score 222 · Answer 14 · 2018-09-06 16:19:20

222

Views

If $AB-BA=\mu B$, $\mu \ne0$. Determine whether $A$ and $B$ share common eigenvector

Published on 06 Sep 2018 - 16:19

score 50 · Answer 15 · 2018-09-07 16:37:31

50

Views

Is there an irreducible linear representation of $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}$ of dimension 2?

Published on 07 Sep 2018 - 16:37

List Question

Example of series such that every $\sum_{i=1}^{\infty} b_{n_i}$ converges but $\sum_{n=1}^{\infty} |b_n|$ diverges

Associative, non-commutative, non-trivial, analytic binary operation

Proving that greedy algorithm on TSP does not produce optimal solution

Counterexample: Convex set which is NOT the intersection of half-spaces

Prove or find a counterexample

Example of when $E^{H} \neq E^{\text{Aut}(E/E^H)}$?

Example $4.10$ - Counterexamples in Probability and Real Analysis by Gary L. Wise and Eric B. Hall

Does the domain of integration have to be convex?

Pathological examples of compact sets in analysis

Examples for essential/superfluous submodules

If $f(x)$ is a polynomial and $f(n)$ is an integer for all $n\in \mathbb{Z}$, then $f(x)$ must have integer coefficients.

Why is this counterexample to an established result wrong?

To be concave on $[0,1]$, $f(t)\leq f(0)+tf'(0)$ is enough?

If $AB-BA=\mu B$, $\mu \ne0$. Determine whether $A$ and $B$ share common eigenvector

Is there an irreducible linear representation of $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}$ of dimension 2?

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