Question

Prove that: $\sum_{\text {sym}} a^3+3\sum_{\text{sym}} a^2b\ge 18$

score 51 · Answer 1 · 2022-09-10 09:43:50

51

Views

Prove that: $\sum_{\text {sym}} a^3+3\sum_{\text{sym}} a^2b\ge 18$

Published on 10 Sep 2022 - 9:43

score 209 · Answer 2 · 2022-09-14 14:19:14

209

Views

Prove that $|f'(z)| \leq \frac{1}{1-|z|}$

Published on 14 Sep 2022 - 14:19

score 57 · Answer 3 · 2022-09-16 15:00:41

57

Views

Prove triangle inequality for inner product $\langle a,c\rangle \leq \langle a,b\rangle + \langle b,c\rangle $

Published on 16 Sep 2022 - 15:00

score 56 · Answer 4 · 2022-09-19 03:34:48

56

Views

Is $ n \sum \rho_i^2 \geq (\sum \rho_i)^2$?

Published on 19 Sep 2022 - 3:34

score 67 · Answer 5 · 2022-09-19 19:00:03

67

Views

Does there exists a continuous non-decreasing function $f$ such that $|x-z|\leq f(|x-y|)+|y-z|$?

Published on 19 Sep 2022 - 19:00

score 46 · Answer 6 · 2022-09-25 04:44:21

46

Views

How can I solve this complex inequality?

Published on 25 Sep 2022 - 4:44

score 67 · Answer 7 · 2022-10-21 02:06:08

67

Views

Proving that $||v||=\sqrt{2v_1^2+3v_2^2}$ defines a norm on $\mathbb{R}^2$

Published on 21 Oct 2022 - 2:06

score 23 · Answer 8 · 2022-10-27 11:36:50

Given a criteria function. Why two integral of cumulative function $\integ{F_1-F_2$ can be combine and the magic of triangle inequality

score 68 · Answer 9 · 2022-10-28 20:16:57

68

Views

Would this be a valid proof for triangle inequality?

Published on 28 Oct 2022 - 20:16

score 86 · Answer 10 · 2022-10-31 22:14:58

86

Views

Deforming the "cross product metric"

Published on 31 Oct 2022 - 22:14

score 83 · Answer 11 · 2022-11-02 14:11:04

83

Views

Inequality with the sides of a triangle.

Published on 02 Nov 2022 - 14:11

score 78 · Answer 12 · 2022-11-07 23:49:40

78

Views

Proof of the equation for a rectangle in the Cartesian coordinate system with distances and absolute values

Published on 07 Nov 2022 - 23:49

score 53 · Answer 13 · 2022-11-08 02:30:59

53

Views

If $z_n\to x, $ why is $\lim_{n\to \infty}(d(x, z_n) +d(z_n, y)) = d(x, y)$ and not $\geq d(x, y)? $

Published on 08 Nov 2022 - 2:30

score 150 · Answer 14 · 2022-11-19 15:34:13

150

Views

Range of $|z_1+z_2|$ for some $z_1,z_2\in\Bbb C$

Published on 19 Nov 2022 - 15:34

score 58 · Answer 15 · 2022-11-22 17:18:29

58

Views

Can someone prove to me if this inequality with norms and dot products holds?

Published on 22 Nov 2022 - 17:18

List Question

Prove that: $\sum_{\text {sym}} a^3+3\sum_{\text{sym}} a^2b\ge 18$

Prove that $|f'(z)| \leq \frac{1}{1-|z|}$

Prove triangle inequality for inner product $\langle a,c\rangle \leq \langle a,b\rangle + \langle b,c\rangle $

Is $ n \sum \rho_i^2 \geq (\sum \rho_i)^2$?

Does there exists a continuous non-decreasing function $f$ such that $|x-z|\leq f(|x-y|)+|y-z|$?

How can I solve this complex inequality?

Proving that $||v||=\sqrt{2v_1^2+3v_2^2}$ defines a norm on $\mathbb{R}^2$

Given a criteria function. Why two integral of cumulative function $\integ{F_1-F_2$ can be combine and the magic of triangle inequality

Would this be a valid proof for triangle inequality?

Deforming the "cross product metric"

Inequality with the sides of a triangle.

Proof of the equation for a rectangle in the Cartesian coordinate system with distances and absolute values

If $z_n\to x, $ why is $\lim_{n\to \infty}(d(x, z_n) +d(z_n, y)) = d(x, y)$ and not $\geq d(x, y)? $

Range of $|z_1+z_2|$ for some $z_1,z_2\in\Bbb C$

Can someone prove to me if this inequality with norms and dot products holds?

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