Question

Bound for difference between arithmetic and geometric mean

score 1.6k · Answer 1 · 2026-05-07 20:05:55

1.6k

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Bound for difference between arithmetic and geometric mean

Published on 07 May 2026 - 20:05

score 55 · Answer 2 · 2026-05-04 22:42:15

55

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Show that $\frac{1}{k}-\ln\left(\frac{k+1}{k}\right)$ is bounded by $\frac{1}{k^2}$

Published on 04 May 2026 - 22:42

score 108 · Answer 3 · 2026-05-10 08:52:14

108

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Bounding Probability with Large Variance

Published on 10 May 2026 - 8:52

score 517 · Answer 4 · 2026-05-05 13:42:20

517

Views

Connectivity of random graphs - proof $\frac{logn}{n}$ is threshold

Published on 05 May 2026 - 13:42

score 280 · Answer 5 · 2026-05-02 20:17:18

280

Views

Natural log integral inequality

Published on 02 May 2026 - 20:17

score 1k · Answer 6 · 2026-05-02 23:51:27

1k

Views

Spectrum of a matrix after applying an element-wise function (e.g. elementwise log)

Published on 02 May 2026 - 23:51

score 86 · Answer 7 · 2026-04-29 12:41:09

86

Views

Majorization form for a given set of integers in some interval.

Published on 29 Apr 2026 - 12:41

score 853 · Answer 8 · 2026-05-10 09:14:47

853

Views

Proving $(λ^d + (1-λ^d)e^{(d-1)s})^{\frac{1}{1-d}}\leq\sum\limits_{n=0}^\infty\frac1{n!}λ^{\frac{(d^n-1)d}{d-1}+n}s^ne^{-λs}$

Published on 10 May 2026 - 9:14

score 967 · Answer 9 · 2026-05-02 18:20:56

967

Views

Upper bound for distribution function of the standard normal distribution

Published on 02 May 2026 - 18:20

score 60 · Answer 10 · 2026-04-29 15:27:44

60

Views

Show $0 < f'(x) \leqslant \frac{1}{2}$

Published on 29 Apr 2026 - 15:27

score 126 · Answer 11 · 2026-04-29 12:43:05

126

Views

Bounding $t \ln(1 +t)$ for $t > 0$

Published on 29 Apr 2026 - 12:43

score 318 · Answer 12 · 2026-05-10 11:43:39

318

Views

The set of a monic polynomial with $P(0)<0$ is bounded above

Published on 10 May 2026 - 11:43

score 173 · Answer 13 · 2026-05-07 10:12:52

173

Views

A good estimation of the inverse $f^{-1}(x)$ of $-\sum_{n=2}^\infty\frac{\mu(n)}{n}x^n$, over the unit inverval if it has mathematical meaning

Published on 07 May 2026 - 10:12

score 1k · Answer 14 · 2026-05-10 11:39:51

1k

Views

Bounding tail conditional expectation of a random variable given variance

Published on 10 May 2026 - 11:39

score 117 · Answer 15 · 2026-05-10 11:19:54

117

Views

How to prove that the following function is unbounded?

Published on 10 May 2026 - 11:19

List Question

Bound for difference between arithmetic and geometric mean

Show that $\frac{1}{k}-\ln\left(\frac{k+1}{k}\right)$ is bounded by $\frac{1}{k^2}$

Bounding Probability with Large Variance

Connectivity of random graphs - proof $\frac{logn}{n}$ is threshold

Natural log integral inequality

Spectrum of a matrix after applying an element-wise function (e.g. elementwise log)

Majorization form for a given set of integers in some interval.

Proving $(λ^d + (1-λ^d)e^{(d-1)s})^{\frac{1}{1-d}}\leq\sum\limits_{n=0}^\infty\frac1{n!}λ^{\frac{(d^n-1)d}{d-1}+n}s^ne^{-λs}$

Upper bound for distribution function of the standard normal distribution

Show $0 < f'(x) \leqslant \frac{1}{2}$

Bounding $t \ln(1 +t)$ for $t > 0$

The set of a monic polynomial with $P(0)<0$ is bounded above

A good estimation of the inverse $f^{-1}(x)$ of $-\sum_{n=2}^\infty\frac{\mu(n)}{n}x^n$, over the unit inverval if it has mathematical meaning

Bounding tail conditional expectation of a random variable given variance

How to prove that the following function is unbounded?

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