Question

Bound for difference between arithmetic and geometric mean

score 1.5k · Answer 1 · 2026-03-19 22:41:17

1.5k

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Bound for difference between arithmetic and geometric mean

Published on 19 Mar 2026 - 22:41

score 47 · Answer 2 · 2026-03-17 11:22:20

47

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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 17 Mar 2026 - 11:22

score 99 · Answer 3 · 2026-03-22 11:37:58

99

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Bounding Probability with Large Variance

Published on 22 Mar 2026 - 11:37

score 510 · Answer 4 · 2026-03-22 09:22:08

510

Views

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

Published on 22 Mar 2026 - 9:22

score 269 · Answer 5 · 2026-03-20 03:06:57

269

Views

Natural log integral inequality

Published on 20 Mar 2026 - 3:06

score 1k · Answer 6 · 2026-03-22 08:47:30

1k

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

Published on 22 Mar 2026 - 8:47

score 79 · Answer 7 · 2026-03-20 07:25:34

79

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

Published on 20 Mar 2026 - 7:25

score 846 · Answer 8 · 2026-03-22 12:33:45

846

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 22 Mar 2026 - 12:33

score 958 · Answer 9 · 2026-03-20 09:09:15

958

Views

Upper bound for distribution function of the standard normal distribution

Published on 20 Mar 2026 - 9:09

score 51 · Answer 10 · 2026-03-20 18:02:05

51

Views

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

Published on 20 Mar 2026 - 18:02

score 116 · Answer 11 · 2026-03-22 21:57:35

116

Views

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

Published on 22 Mar 2026 - 21:57

score 308 · Answer 12 · 2026-03-23 13:25:25

308

Views

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

Published on 23 Mar 2026 - 13:25

score 164 · Answer 13 · 2026-03-20 03:17:57

164

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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 20 Mar 2026 - 3:17

score 1k · Answer 14 · 2026-03-17 17:16:39

1k

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Bounding tail conditional expectation of a random variable given variance

Published on 17 Mar 2026 - 17:16

score 111 · Answer 15 · 2026-03-24 19:52:33

111

Views

How to prove that the following function is unbounded?

Published on 24 Mar 2026 - 19:52

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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