Question

Prove that if $a+b+c=1$ then $\sum\limits_{cyc}\frac{1}{\sqrt{a^2+b^2}}\le\frac{9\sqrt{2}}{2}$

score 174 · Answer 1 · 2026-03-30 12:22:51

174

Views

Prove that if $a+b+c=1$ then $\sum\limits_{cyc}\frac{1}{\sqrt{a^2+b^2}}\le\frac{9\sqrt{2}}{2}$

Published on 30 Mar 2026 - 12:22

score 577 · Answer 2 · 2026-04-03 21:49:58

577

Views

Existence of an infinite group with finitely many conjugacy classes

Published on 03 Apr 2026 - 21:49

score 54 · Answer 3 · 2016-08-21 00:48:48

54

Views

Which of the following is sufficient for $\lim_{n\to\infty} \frac{a_n}{b_n} = 1$

Published on 21 Aug 2016 - 0:48

score 35 · Answer 4 · 2016-08-21 13:58:29

35

Views

Examples of modules $M$ such that $M^r \cong_R M^s \iff \exists A \in \mathcal A \; r,s \in A$, where $\mathcal A$ is a partition of $\mathbb N$

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score 98 · Answer 5 · 2016-08-22 02:19:20

98

Views

Non-example of a flow

Published on 22 Aug 2016 - 2:19

score 162 · Answer 6 · 2026-04-01 09:33:03

162

Views

$\exists r\in \mathbb{Q}$ such that $\forall s\in\overline{\mathbb{Q}}$, $rs\in\mathbb{Q}$

Published on 01 Apr 2026 - 9:33

score 1.9k · Answer 7 · 2026-03-28 10:04:03

1.9k

Views

Method to determine if a ring is a UFD?

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score 82 · Answer 8 · 2016-08-25 03:27:28

82

Views

Exercise concerning complement of direct product from Mendelson's Topology

Published on 25 Aug 2016 - 3:27

score 2.6k · Answer 9 · 2016-08-25 12:23:43

2.6k

Views

What is the order of $ab$ in an abelian group?

Published on 25 Aug 2016 - 12:23

score 1.2k · Answer 10 · 2026-03-26 07:46:52

1.2k

Views

Give an example of a non compact Hausdorff space such that $\Delta$ is closed but $Y$ is not Hausdorff

Published on 26 Mar 2026 - 7:46

score 227 · Answer 11 · 2016-08-25 18:21:32

227

Views

Counter example for limit of integrals, with continuity

Published on 25 Aug 2016 - 18:21

score 182 · Answer 12 · 2016-08-26 04:48:17

182

Views

Not equal mixed second partial derivative on an open connected set?

Published on 26 Aug 2016 - 4:48

score 148 · Answer 13 · 2016-08-28 09:57:00

148

Views

Sequence $\{X_n\}$ of r.v. converging in probability but $\mathbb{P}(\sup_n |X_n|=+\infty) >0$

Published on 28 Aug 2016 - 9:57

score 148 · Answer 14 · 2016-08-31 02:53:13

148

Views

Example of chainable space

Published on 31 Aug 2016 - 2:53

score 64 · Answer 15 · 2016-08-31 15:23:56

64

Views

If $dI_n= AB $, must $\det (A) $ divide $d $?

Published on 31 Aug 2016 - 15:23

List Question

Prove that if $a+b+c=1$ then $\sum\limits_{cyc}\frac{1}{\sqrt{a^2+b^2}}\le\frac{9\sqrt{2}}{2}$

Existence of an infinite group with finitely many conjugacy classes

Which of the following is sufficient for $\lim_{n\to\infty} \frac{a_n}{b_n} = 1$

Examples of modules $M$ such that $M^r \cong_R M^s \iff \exists A \in \mathcal A \; r,s \in A$, where $\mathcal A$ is a partition of $\mathbb N$

Non-example of a flow

$\exists r\in \mathbb{Q}$ such that $\forall s\in\overline{\mathbb{Q}}$, $rs\in\mathbb{Q}$

Method to determine if a ring is a UFD?

Exercise concerning complement of direct product from Mendelson's Topology

What is the order of $ab$ in an abelian group?

Give an example of a non compact Hausdorff space such that $\Delta$ is closed but $Y$ is not Hausdorff

Counter example for limit of integrals, with continuity

Not equal mixed second partial derivative on an open connected set?

Sequence $\{X_n\}$ of r.v. converging in probability but $\mathbb{P}(\sup_n |X_n|=+\infty) >0$

Example of chainable space

If $dI_n= AB $, must $\det (A) $ divide $d $?

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