Question

Prove inequality for all complex numbers

score 82 · Answer 1 · 2026-04-02 18:47:49

82

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Prove inequality for all complex numbers

Published on 02 Apr 2026 - 18:47

score 102 · Answer 2 · 2026-04-01 07:50:54

102

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Inequality with roots, a step is not clear!

Published on 01 Apr 2026 - 7:50

score 83 · Answer 3 · 2026-03-30 23:19:50

83

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Inequality with logarithm, missing one zero

Published on 30 Mar 2026 - 23:19

score 38 · Answer 4 · 2026-04-05 21:04:39

38

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check if inequality is real

Published on 05 Apr 2026 - 21:04

score 106 · Answer 5 · 2026-03-29 03:35:52

106

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Proof verification of $x_n = \sqrt[3]{n^3 + 1} - \sqrt{n^2 - 1}$ is bounded

Published on 29 Mar 2026 - 3:35

score 124 · Answer 6 · 2026-03-29 12:32:07

124

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Prove by induction, for all positive integers $n$, that $n!\ge2^{n-1}$

Published on 29 Mar 2026 - 12:32

score 928 · Answer 7 · 2026-04-06 16:48:32

928

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Comparing logarithms with different bases

Published on 06 Apr 2026 - 16:48

score 154 · Answer 8 · 2018-10-23 21:03:17

154

Views

What is my strategy for solving inequalities like these?

Published on 23 Oct 2018 - 21:03

score 140 · Answer 9 · 2018-10-23 21:17:57

140

Views

Prove that for any positive real numbers x, x + 1/(4x) ≥ 1.

Published on 23 Oct 2018 - 21:17

score 95 · Answer 10 · 2026-04-11 06:23:57

95

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A very strict inequality for $\ln n$ and $H_{n-1}$, with $n>2$, searching for proof

Published on 11 Apr 2026 - 6:23

score 127 · Answer 11 · 2026-03-27 17:06:10

127

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Set of real values of $k$ such that $4\cdot 2^{2x}-4k\cdot 2^x+5-4k\geq 0$ has a real solution

Published on 27 Mar 2026 - 17:06

score 60 · Answer 12 · 2026-04-02 05:25:04

60

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If I have the conditions $c_1<c_2<a$ and $2c_2>a+c_1$, do I have a contradiction?

Published on 02 Apr 2026 - 5:25

score 183 · Answer 13 · 2026-03-26 07:56:58

183

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Concentration of Bernoulli random variables normalized by expectation

Published on 26 Mar 2026 - 7:56

score 57 · Answer 14 · 2026-04-03 01:37:59

57

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Show that the sum of the numbers of ordered $3$-cliques and $3$-anticliques is not less than $\binom{V}{3}+\frac{2E^2}{V}-E(V-1)$.

Published on 03 Apr 2026 - 1:37

score 68 · Answer 15 · 2026-03-26 09:36:48

68

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Prove that $\mathrm{E}(X \ln X) \ge \mathrm{E}(X) \mathrm{E}(\ln X)$

Published on 26 Mar 2026 - 9:36

List Question

Prove inequality for all complex numbers

Inequality with roots, a step is not clear!

Inequality with logarithm, missing one zero

check if inequality is real

Proof verification of $x_n = \sqrt[3]{n^3 + 1} - \sqrt{n^2 - 1}$ is bounded

Prove by induction, for all positive integers $n$, that $n!\ge2^{n-1}$

Comparing logarithms with different bases

What is my strategy for solving inequalities like these?

Prove that for any positive real numbers x, x + 1/(4x) ≥ 1.

A very strict inequality for $\ln n$ and $H_{n-1}$, with $n>2$, searching for proof

Set of real values of $k$ such that $4\cdot 2^{2x}-4k\cdot 2^x+5-4k\geq 0$ has a real solution

If I have the conditions $c_1<c_2<a$ and $2c_2>a+c_1$, do I have a contradiction?

Concentration of Bernoulli random variables normalized by expectation

Show that the sum of the numbers of ordered $3$-cliques and $3$-anticliques is not less than $\binom{V}{3}+\frac{2E^2}{V}-E(V-1)$.

Prove that $\mathrm{E}(X \ln X) \ge \mathrm{E}(X) \mathrm{E}(\ln X)$

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