Question

Is there any intuitive way to see $\frac{e^{\delta}}{(1+\delta)^{1+\delta}}\leq e^{-\delta^2/3}$ $0<\delta<1$

score 94 · Answer 1 · 2026-03-30 18:38:22

94

Views

Is there any intuitive way to see $\frac{e^{\delta}}{(1+\delta)^{1+\delta}}\leq e^{-\delta^2/3}$ $0<\delta<1$

Published on 30 Mar 2026 - 18:38

score 217 · Answer 2 · 2026-03-28 05:58:47

217

Views

Stuck On A Proof By Induction

Published on 28 Mar 2026 - 5:58

score 94 · Answer 3 · 2026-04-01 06:09:28

94

Views

Does the Prime Number Theorem imply for large enough $x$ that $(a+1)\pi(ax) \ge a\pi((a+1)x)$

Published on 01 Apr 2026 - 6:09

score 86 · Answer 4 · 2026-04-01 16:04:45

86

Views

Proof-Explanation : $(a+1)(ab^2+1) \leq b^3$

Published on 01 Apr 2026 - 16:04

score 292 · Answer 5 · 2026-04-01 15:59:34

292

Views

Help: $ |\frac{a+1}{a}- (\frac{xz}{y^2})^k|\leq \frac{1}{b}$

Published on 01 Apr 2026 - 15:59

score 72 · Answer 6 · 2018-09-08 18:46:42

72

Views

An application of derivatives problem- to show that $f(x+2)-f(x)>2$ for $f(x)=x\cos(1/x)$

Published on 08 Sep 2018 - 18:46

score 41 · Answer 7 · 2026-04-02 22:41:16

41

Views

Inequality involving metrics

Published on 02 Apr 2026 - 22:41

score 1k · Answer 8 · 2026-03-28 01:35:35

1k

Views

Poincaré inequality with mean value property

Published on 28 Mar 2026 - 1:35

score 118 · Answer 9 · 2026-03-25 14:25:32

118

Views

Show that for positive numbers a,b,c,d, $\sum_{cyc} ab \leq \frac{1}{4}\left(\sum_{cyc} a \right)^2$ and ...

Published on 25 Mar 2026 - 14:25

score 67 · Answer 10 · 2026-04-01 16:01:41

67

Views

Help: $b^{k(k-2)} \ll_k b^{4.2(k-2)}b^{8.4+2k}$

Published on 01 Apr 2026 - 16:01

score 346 · Answer 11 · 2026-03-25 01:34:50

346

Views

Prove the inequality using Chebyshev's Inequality

Published on 25 Mar 2026 - 1:34

score 107 · Answer 12 · 2026-03-25 00:07:41

107

Views

Properties of the differential entropy of Hermite functions

Published on 25 Mar 2026 - 0:07

score 35 · Answer 13 · 2018-09-09 18:28:07

35

Views

Consequences of positive integers $n, m_1, and m_2$ obeying $-m_2 < nx < m_1$

Published on 09 Sep 2018 - 18:28

score 49 · Answer 14 · 2018-09-09 19:26:51

49

Views

Changing an inequality, say I have $n$ < $n^{2}$ < $ 2^{n} $

Published on 09 Sep 2018 - 19:26

score 149 · Answer 15 · 2026-03-25 19:12:04

149

Views

Show $\mathbb{P}(S_n \geq a+b) \leq \mathbb{P}(S_n \geq a) \mathbb{P}(S_n \geq b)$ for sum of independent Bernoulli random variables

Published on 25 Mar 2026 - 19:12

List Question

Is there any intuitive way to see $\frac{e^{\delta}}{(1+\delta)^{1+\delta}}\leq e^{-\delta^2/3}$ $0<\delta<1$

Stuck On A Proof By Induction

Does the Prime Number Theorem imply for large enough $x$ that $(a+1)\pi(ax) \ge a\pi((a+1)x)$

Proof-Explanation : $(a+1)(ab^2+1) \leq b^3$

Help: $ |\frac{a+1}{a}- (\frac{xz}{y^2})^k|\leq \frac{1}{b}$

An application of derivatives problem- to show that $f(x+2)-f(x)>2$ for $f(x)=x\cos(1/x)$

Inequality involving metrics

Poincaré inequality with mean value property

Show that for positive numbers a,b,c,d, $\sum_{cyc} ab \leq \frac{1}{4}\left(\sum_{cyc} a \right)^2$ and ...

Help: $b^{k(k-2)} \ll_k b^{4.2(k-2)}b^{8.4+2k}$

Prove the inequality using Chebyshev's Inequality

Properties of the differential entropy of Hermite functions

Consequences of positive integers $n, m_1, and m_2$ obeying $-m_2 < nx < m_1$

Changing an inequality, say I have $n$ < $n^{2}$ < $ 2^{n} $

Show $\mathbb{P}(S_n \geq a+b) \leq \mathbb{P}(S_n \geq a) \mathbb{P}(S_n \geq b)$ for sum of independent Bernoulli random variables

Trending Questions

Popular # Hahtags

Popular Questions