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About commutative ring with identity

score 127 · Answer 1 · 2026-04-08 14:33:20

127

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About commutative ring with identity

Published on 08 Apr 2026 - 14:33

score 1.2k · Answer 2 · 2026-03-31 06:32:31

1.2k

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Prove $\frac{3\sqrt{xyz}}{\sqrt{x}+\sqrt{y}+\sqrt{z}} \leq \frac{2}{3} \left(\frac{xy}{x+y}+\frac{yz}{y+z}+\frac{zx}{z+x} \right)$ for $x,y,z \geq 0$

Published on 31 Mar 2026 - 6:32

score 103 · Answer 3 · 2026-04-06 20:09:16

103

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Example of a semimartingale with special properties

Published on 06 Apr 2026 - 20:09

score 633 · Answer 4 · 2026-03-25 09:34:53

633

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Element of a ring without unity which divides every other element

Published on 25 Mar 2026 - 9:34

score 401 · Answer 5 · 2016-06-07 16:14:02

401

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How to prove $(xy+yz+zx)^3 \geq xyz(x+y+z)^3$ for $x,y,z \geq 0$?

Published on 07 Jun 2016 - 16:14

score 463 · Answer 6 · 2026-04-01 17:28:50

463

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If $\phi: G \rightarrow H$ is a group homomorphism, $N \vartriangleleft G$, then $G/N \cong \phi(G)/\phi(N)$

Published on 01 Apr 2026 - 17:28

score 819 · Answer 7 · 2026-04-11 21:28:31

819

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In what space is a closed set is not or not necessarily $G_\delta$

Published on 11 Apr 2026 - 21:28

score 912 · Answer 8 · 2016-06-12 12:40:49

912

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Find a continuous function $f:[1,\infty)\to\Bbb R $ such that $f(x) >0 $, $\int_1^\infty f(x)\,dx $ converges and $\int_1^\infty f(x)^2\,dx$ diverges

Published on 12 Jun 2016 - 12:40

score 213 · Answer 9 · 2026-03-28 09:44:04

213

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Absolutely integrable function with infinite number of singularities

Published on 28 Mar 2026 - 9:44

score 1.6k · Answer 10 · 2026-04-12 13:18:05

1.6k

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Example of a strictly convex function unbounded in $\mathbb{R}$

Published on 12 Apr 2026 - 13:18

score 1.9k · Answer 11 · 2026-04-11 17:01:49

1.9k

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Image of a disconnected set is disconnected

Published on 11 Apr 2026 - 17:01

score 313 · Answer 12 · 2026-03-25 20:42:15

313

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Implications of disproving the Goldbach's Conjecture

Published on 25 Mar 2026 - 20:42

score 70 · Answer 13 · 2026-04-11 22:03:27

70

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Monoids in which $aN = Na$ and $ab \in N \leftrightarrow ba \in N$ aren't equivalent.

Published on 11 Apr 2026 - 22:03

score 412 · Answer 14 · 2016-06-14 02:01:07

412

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Example highlighting the difference between finer and strictly finer?

Published on 14 Jun 2016 - 2:01

score 128 · Answer 15 · 2026-04-13 01:54:33

128

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Does there exist a metric $d$ on $\mathbb R$ such that the map $f:(\mathbb R,d) \to (\mathbb R,d)$ ; $f(x)=-x$ is not continuous?

Published on 13 Apr 2026 - 1:54

List Question

About commutative ring with identity

Prove $\frac{3\sqrt{xyz}}{\sqrt{x}+\sqrt{y}+\sqrt{z}} \leq \frac{2}{3} \left(\frac{xy}{x+y}+\frac{yz}{y+z}+\frac{zx}{z+x} \right)$ for $x,y,z \geq 0$

Example of a semimartingale with special properties

Element of a ring without unity which divides every other element

How to prove $(xy+yz+zx)^3 \geq xyz(x+y+z)^3$ for $x,y,z \geq 0$?

If $\phi: G \rightarrow H$ is a group homomorphism, $N \vartriangleleft G$, then $G/N \cong \phi(G)/\phi(N)$

In what space is a closed set is not or not necessarily $G_\delta$

Find a continuous function $f:[1,\infty)\to\Bbb R $ such that $f(x) >0 $, $\int_1^\infty f(x)\,dx $ converges and $\int_1^\infty f(x)^2\,dx$ diverges

Absolutely integrable function with infinite number of singularities

Example of a strictly convex function unbounded in $\mathbb{R}$

Image of a disconnected set is disconnected

Implications of disproving the Goldbach's Conjecture

Monoids in which $aN = Na$ and $ab \in N \leftrightarrow ba \in N$ aren't equivalent.

Example highlighting the difference between finer and strictly finer?

Does there exist a metric $d$ on $\mathbb R$ such that the map $f:(\mathbb R,d) \to (\mathbb R,d)$ ; $f(x)=-x$ is not continuous?

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