Question

Constructive proof of Closest Point Theorem in Convex Optimization

score 154 · Answer 1 · 2019-12-30 20:46:06

154

Views

Constructive proof of Closest Point Theorem in Convex Optimization

Published on 30 Dec 2019 - 20:46

score 189 · Answer 2 · 2026-03-30 03:05:32

189

Views

Product space and Basis

Published on 30 Mar 2026 - 3:05

score 447 · Answer 3 · 2026-03-26 22:15:18

447

Views

Proof verification: Does $\alpha$-Hölder condition on an open interval imply its uniform continuity and $f$ is constant when $\alpha>1$?

Published on 26 Mar 2026 - 22:15

score 1.1k · Answer 4 · 2019-12-31 17:19:26

1.1k

Views

How can we show that $n < 2^n$ for all natural numbers $n$?

Published on 31 Dec 2019 - 17:19

score 65 · Answer 5 · 2020-01-01 10:01:11

65

Views

Prove $\cos \frac{\pi}5-\cos \frac{2 \pi}5=\frac12$ but without finding $\cos \frac{ \pi}5$

Published on 01 Jan 2020 - 10:01

score 134 · Answer 6 · 2026-03-25 17:41:59

134

Views

Integral $\int_0^e \left(\operatorname{W}(x)^{2}x-\frac{6x}{8}-\frac{3\operatorname{W}(x)}{8}+\frac{3}{8}\right)\,dx=0$

Published on 25 Mar 2026 - 17:41

score 223 · Answer 7 · 2020-01-01 21:18:49

223

Views

Characteristic property of disjoint union spaces

Published on 01 Jan 2020 - 21:18

score 80 · Answer 8 · 2020-01-02 09:35:32

80

Views

Prove that $(n+3)^2 \le 2^{n+3} , n\in\mathbb{N}$ without induction.

Published on 02 Jan 2020 - 9:35

score 137 · Answer 9 · 2020-01-02 14:03:36

137

Views

Evaluate $\iint_{[0,1]^2}\frac{10x^2-1}{\sqrt{x^3+y^3}}dxdy$

Published on 02 Jan 2020 - 14:03

score 1.1k · Answer 10 · 2020-01-05 06:17:21

1.1k

Views

Clean and clever proofs to show every homomorphism of two groups with coprime orders is trivial?

Published on 05 Jan 2020 - 6:17

score 239 · Answer 11 · 2020-01-05 09:43:53

239

Views

Alternate proof for the derivative of $e^x$ using L'Hospital's rule – is there a generalization?

Published on 05 Jan 2020 - 9:43

score 639 · Answer 12 · 2026-03-29 06:47:37

639

Views

Clean and clever proofs to show the inner automorphism on G is a normal subgroup of the group of automorphisms of G

Published on 29 Mar 2026 - 6:47

score 67 · Answer 13 · 2020-01-05 17:46:20

67

Views

Clean and clever proofs to show an automorphism which sends elements of a group to their squares is abelian?

Published on 05 Jan 2020 - 17:46

score 318 · Answer 14 · 2026-03-27 04:17:37

318

Views

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^2=\frac{\pi^2}{24}$

Published on 27 Mar 2026 - 4:17

score 86 · Answer 15 · 2020-01-09 10:44:26

86

Views

Solve the inequality $\sqrt{7+2016x}+49\le 4x^2+\sqrt{2018x}$

Published on 09 Jan 2020 - 10:44

List Question

Constructive proof of Closest Point Theorem in Convex Optimization

Product space and Basis

Proof verification: Does $\alpha$-Hölder condition on an open interval imply its uniform continuity and $f$ is constant when $\alpha>1$?

How can we show that $n < 2^n$ for all natural numbers $n$?

Prove $\cos \frac{\pi}5-\cos \frac{2 \pi}5=\frac12$ but without finding $\cos \frac{ \pi}5$

Integral $\int_0^e \left(\operatorname{W}(x)^{2}x-\frac{6x}{8}-\frac{3\operatorname{W}(x)}{8}+\frac{3}{8}\right)\,dx=0$

Characteristic property of disjoint union spaces

Prove that $(n+3)^2 \le 2^{n+3} , n\in\mathbb{N}$ without induction.

Evaluate $\iint_{[0,1]^2}\frac{10x^2-1}{\sqrt{x^3+y^3}}dxdy$

Clean and clever proofs to show every homomorphism of two groups with coprime orders is trivial?

Alternate proof for the derivative of $e^x$ using L'Hospital's rule – is there a generalization?

Clean and clever proofs to show the inner automorphism on G is a normal subgroup of the group of automorphisms of G

Clean and clever proofs to show an automorphism which sends elements of a group to their squares is abelian?

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^2=\frac{\pi^2}{24}$

Solve the inequality $\sqrt{7+2016x}+49\le 4x^2+\sqrt{2018x}$

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