Question

Give a useful denial of each statement.

score 1.1k · Answer 1 · 2018-09-23 19:56:06

1.1k

Views

Give a useful denial of each statement.

Published on 23 Sep 2018 - 19:56

score 98 · Answer 2 · 2026-04-09 14:59:42

98

Views

Proving $u^{-1}(u(x_0))$ is infinite for $N\ge 2$

Published on 09 Apr 2026 - 14:59

score 279 · Answer 3 · 2026-03-25 08:09:17

279

Views

On proving that $G/\overline{\{e\}}$ is Hausdorff for a topological group $G$.

Published on 25 Mar 2026 - 8:09

score 1k · Answer 4 · 2026-04-02 00:24:20

1k

Views

Why isn't this approach in solving $x^2+x+1=0$ valid?

Published on 02 Apr 2026 - 0:24

score 356 · Answer 5 · 2026-03-25 20:36:23

356

Views

Proof verification of $\lim_{x\to-2^+}\frac{x^2+x-2}{\sqrt{x+2}}=0$ using $\epsilon$-$\delta$

Published on 25 Mar 2026 - 20:36

score 68 · Answer 6 · 2026-04-08 18:01:26

68

Views

Show $\left|\frac{e^{iz}}{z^2+1}\right|\leq\frac{1}{R^2-1}$ for $R>1$ and $z\in\text{Range}(\gamma_R)$

Published on 08 Apr 2026 - 18:01

score 110 · Answer 7 · 2026-04-03 05:20:30

110

Views

If $f : M \to N$ is closed, $\forall\, y \in V \subset N$, $\exists\, U \subset N$ such that $f^{-1}(y) \subset f^{-1}(U) \subset V$

Published on 03 Apr 2026 - 5:20

score 420 · Answer 8 · 2018-09-24 01:33:30

420

Views

Trace zero matrices are nowhere dense in $M_n(\Bbb{R}),n≥2 $ [Proof verification]

Published on 24 Sep 2018 - 1:33

score 510 · Answer 9 · 2026-03-30 10:56:54

510

Views

Evaluate $\int_\gamma \frac{e^{iz}}{z^2+1} \ dz$

Published on 30 Mar 2026 - 10:56

score 195 · Answer 10 · 2026-03-25 23:22:27

195

Views

Proving that $D_4$ can't be expressed as an internal direct product.

Published on 25 Mar 2026 - 23:22

score 450 · Answer 11 · 2018-09-24 05:09:49

450

Views

Computing a rotation matrix given an angle

Published on 24 Sep 2018 - 5:09

score 280 · Answer 12 · 2026-03-27 14:28:46

280

Views

Proof verification in constructive analysis

Published on 27 Mar 2026 - 14:28

score 102 · Answer 13 · 2018-09-24 08:41:12

102

Views

A Question on the Application of Liouville's Theorem

Published on 24 Sep 2018 - 8:41

score 403 · Answer 14 · 2018-09-24 11:08:41

403

Views

Intersection of two subgroups of $(\mathbb{Q},+)$ is a non trivial subgroup

Published on 24 Sep 2018 - 11:08

score 529 · Answer 15 · 2026-03-28 04:00:32

529

Views

Combinatorics - Distributing n balls to 2 boxes

Published on 28 Mar 2026 - 4:00

List Question

Give a useful denial of each statement.

Proving $u^{-1}(u(x_0))$ is infinite for $N\ge 2$

On proving that $G/\overline{\{e\}}$ is Hausdorff for a topological group $G$.

Why isn't this approach in solving $x^2+x+1=0$ valid?

Proof verification of $\lim_{x\to-2^+}\frac{x^2+x-2}{\sqrt{x+2}}=0$ using $\epsilon$-$\delta$

Show $\left|\frac{e^{iz}}{z^2+1}\right|\leq\frac{1}{R^2-1}$ for $R>1$ and $z\in\text{Range}(\gamma_R)$

If $f : M \to N$ is closed, $\forall\, y \in V \subset N$, $\exists\, U \subset N$ such that $f^{-1}(y) \subset f^{-1}(U) \subset V$

Trace zero matrices are nowhere dense in $M_n(\Bbb{R}),n≥2 $ [Proof verification]

Evaluate $\int_\gamma \frac{e^{iz}}{z^2+1} \ dz$

Proving that $D_4$ can't be expressed as an internal direct product.

Computing a rotation matrix given an angle

Proof verification in constructive analysis

A Question on the Application of Liouville's Theorem

Intersection of two subgroups of $(\mathbb{Q},+)$ is a non trivial subgroup

Combinatorics - Distributing n balls to 2 boxes

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