Question

Assume $x \geq 1$ and deduce $x^{1/n} \geq 1$

score 646 · Answer 1 · 2018-10-25 12:22:22

646

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Assume $x \geq 1$ and deduce $x^{1/n} \geq 1$

Published on 25 Oct 2018 - 12:22

score 36 · Answer 2 · 2018-10-25 14:18:44

36

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Inequality proof as a part of induction

Published on 25 Oct 2018 - 14:18

score 547 · Answer 3 · 2026-03-25 18:49:37

547

Views

Show that $\left(1+\frac{1}{1^3}\right)\left(1+\frac{1}{2^3}\right)\left(1+\frac{1}{3^3}\right)\cdots\left(1+\frac{1}{n^3}\right) < 3$

Published on 25 Mar 2026 - 18:49

score 45 · Answer 4 · 2018-10-25 15:57:50

45

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Is there a mathematical step I'm unconsciously skipping in this inequality

Published on 25 Oct 2018 - 15:57

score 37 · Answer 5 · 2026-04-10 16:41:34

37

Views

There is no positive constant so that the inequality holds

Published on 10 Apr 2026 - 16:41

score 84 · Answer 6 · 2018-10-26 03:51:54

84

Views

Is the inequality $(\sqrt{x} - \sqrt{y})^2 \geqslant 0$ always true for $x,y \in \mathbb{R}^+$?

Published on 26 Oct 2018 - 3:51

score 84 · Answer 7 · 2026-04-08 00:56:16

84

Views

Does increasing both variables increase $\frac{y}{x-y}$?

Published on 08 Apr 2026 - 0:56

score 72 · Answer 8 · 2026-03-24 23:49:54

72

Views

Why is $\|\operatorname{Co}(D_{\alpha}X)\|_{\gamma} \|\det [D_{\alpha}X(\alpha)]^{-1}\Vert_{\gamma}\le c\| D_{\alpha}X\|_{\gamma}^{2n-1}$?

Published on 24 Mar 2026 - 23:49

score 46 · Answer 9 · 2026-03-25 12:54:34

46

Views

Nice dimension independent proof of entropy inequality?

Published on 25 Mar 2026 - 12:54

score 140 · Answer 10 · 2026-03-25 20:12:52

140

Views

Olympiad Inequality with Condition

Published on 25 Mar 2026 - 20:12

score 41 · Answer 11 · 2026-03-25 12:54:49

41

Views

confusion in proof of lemma for LCP

Published on 25 Mar 2026 - 12:54

score 103 · Answer 12 · 2026-04-10 21:08:59

103

Views

how do I prove this inequallity?

Published on 10 Apr 2026 - 21:08

score 70 · Answer 13 · 2026-03-27 01:47:37

70

Views

Inequalities among the slopes of the sides and the slopes of internal angle bisectors

Published on 27 Mar 2026 - 1:47

score 93 · Answer 14 · 2026-03-26 08:14:27

93

Views

Proving the given inequalities

Published on 26 Mar 2026 - 8:14

score 75 · Answer 15 · 2026-03-28 22:27:08

75

Views

Inequality of real numbers with exponent

Published on 28 Mar 2026 - 22:27

List Question

Assume $x \geq 1$ and deduce $x^{1/n} \geq 1$

Inequality proof as a part of induction

Show that $\left(1+\frac{1}{1^3}\right)\left(1+\frac{1}{2^3}\right)\left(1+\frac{1}{3^3}\right)\cdots\left(1+\frac{1}{n^3}\right) < 3$

Is there a mathematical step I'm unconsciously skipping in this inequality

There is no positive constant so that the inequality holds

Is the inequality $(\sqrt{x} - \sqrt{y})^2 \geqslant 0$ always true for $x,y \in \mathbb{R}^+$?

Does increasing both variables increase $\frac{y}{x-y}$?

Why is $\|\operatorname{Co}(D_{\alpha}X)\|_{\gamma} \|\det [D_{\alpha}X(\alpha)]^{-1}\Vert_{\gamma}\le c\| D_{\alpha}X\|_{\gamma}^{2n-1}$?

Nice dimension independent proof of entropy inequality?

Olympiad Inequality with Condition

confusion in proof of lemma for LCP

how do I prove this inequallity?

Inequalities among the slopes of the sides and the slopes of internal angle bisectors

Proving the given inequalities

Inequality of real numbers with exponent

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