Question

Reparameterisation of Curve as a Regular Curve (Topology)

score 265 · Answer 1 · 2026-03-27 16:53:52

265

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Reparameterisation of Curve as a Regular Curve (Topology)

Published on 27 Mar 2026 - 16:53

score 158 · Answer 2 · 2026-03-26 02:56:21

158

Views

$\frac{xy}{z^2(x + y)} + \frac{yz}{x^2(y + z)} + \frac{zx}{y^2(z + x)} \ge xy + yz + zx$ given that where $x, y, z > 0$ and $xyz = \frac{1}{2}$.

Published on 26 Mar 2026 - 2:56

score 65 · Answer 3 · 2019-06-09 10:43:30

65

Views

Prove the divergence of $\sum_{k=1}^{\infty}{\frac{k}{\sqrt[3]{k+1}}}$ (Alternative proofs)

Published on 09 Jun 2019 - 10:43

score 85 · Answer 4 · 2019-06-11 15:11:24

85

Views

Solve for $x, y \in \mathbb R$: $(xy + 1)(x + 1) = 6$ and $x^2(y^2 + y + 1) = 7$.

Published on 11 Jun 2019 - 15:11

score 80 · Answer 5 · 2019-06-12 18:37:39

80

Views

The affine algebra $\Gamma(V)$ is finite-dimensional iff $V$ is finite

Published on 12 Jun 2019 - 18:37

score 391 · Answer 6 · 2019-06-13 00:45:29

391

Views

Is this Topology Proof Rigorous?

Published on 13 Jun 2019 - 0:45

score 97 · Answer 7 · 2026-03-26 22:18:05

97

Views

Calculate the minimum value of $\frac{a}{\sqrt{a + 2b}} + \frac{b}{\sqrt{b + 2a}}$ where $a, b > 0$ and $\sqrt{a + 2b} = 2 + \sqrt{\frac{b}{3}}$.

Published on 26 Mar 2026 - 22:18

score 542 · Answer 8 · 2019-06-14 19:57:20

542

Views

Prove that the positive integers $n$ and that cannot be written as a sum of $r$ consecutive positive integers are of the form $n=2^l$ for some $l>=0$.

Published on 14 Jun 2019 - 19:57

score 169 · Answer 9 · 2026-03-27 17:09:51

169

Views

Product of Paracompact spaces being Paracompact

Published on 27 Mar 2026 - 17:09

score 1.6k · Answer 10 · 2026-03-26 07:57:12

1.6k

Views

Extending linear maps from subspaces to the entire space

Published on 26 Mar 2026 - 7:57

score 65 · Answer 11 · 2019-06-16 06:03:12

65

Views

Part of the proof of the compactness theorem for propositional logic is trivial?

Published on 16 Jun 2019 - 6:03

score 27 · Answer 12 · 2019-06-16 14:38:14

27

Views

If $A_q$ is open for all $q \in \mathbb Q$ prove $A_r$ is open for all $r \in \mathbb R$

Published on 16 Jun 2019 - 14:38

score 117 · Answer 13 · 2019-06-18 08:56:48

117

Views

For the equation $z^3 = \cos\theta + i\sin\theta = \mathop{\rm{cis}}\theta$, prove that the sum of the roots is always $0$

Published on 18 Jun 2019 - 8:56

score 117 · Answer 14 · 2019-06-19 13:37:06

117

Views

Prove that $257 + 32\cos 4t > 256 \cos^2t$

Published on 19 Jun 2019 - 13:37

score 102 · Answer 15 · 2019-06-21 20:28:27

102

Views

Interchange the order of summation in Dirichlet convolution

Published on 21 Jun 2019 - 20:28

List Question

Reparameterisation of Curve as a Regular Curve (Topology)

$\frac{xy}{z^2(x + y)} + \frac{yz}{x^2(y + z)} + \frac{zx}{y^2(z + x)} \ge xy + yz + zx$ given that where $x, y, z > 0$ and $xyz = \frac{1}{2}$.

Prove the divergence of $\sum_{k=1}^{\infty}{\frac{k}{\sqrt[3]{k+1}}}$ (Alternative proofs)

Solve for $x, y \in \mathbb R$: $(xy + 1)(x + 1) = 6$ and $x^2(y^2 + y + 1) = 7$.

The affine algebra $\Gamma(V)$ is finite-dimensional iff $V$ is finite

Is this Topology Proof Rigorous?

Calculate the minimum value of $\frac{a}{\sqrt{a + 2b}} + \frac{b}{\sqrt{b + 2a}}$ where $a, b > 0$ and $\sqrt{a + 2b} = 2 + \sqrt{\frac{b}{3}}$.

Prove that the positive integers $n$ and that cannot be written as a sum of $r$ consecutive positive integers are of the form $n=2^l$ for some $l>=0$.

Product of Paracompact spaces being Paracompact

Extending linear maps from subspaces to the entire space

Part of the proof of the compactness theorem for propositional logic is trivial?

If $A_q$ is open for all $q \in \mathbb Q$ prove $A_r$ is open for all $r \in \mathbb R$

For the equation $z^3 = \cos\theta + i\sin\theta = \mathop{\rm{cis}}\theta$, prove that the sum of the roots is always $0$

Prove that $257 + 32\cos 4t > 256 \cos^2t$

Interchange the order of summation in Dirichlet convolution

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