Question

How to bound $\sum_{ j=1}^n j^{n-j}?$

score 36 · Answer 1 · 2021-12-11 19:07:49

36

Views

How to bound $\sum_{ j=1}^n j^{n-j}?$

Published on 11 Dec 2021 - 19:07

score 68 · Answer 2 · 2026-02-23 04:47:29

68

Views

For finite-duration continuous $f(t)$ with $\|f'(t)\|_\infty < \infty$: It is true $\|f'(t)\|_\infty \leq \frac{2\pi \|f'(t)\|_2^2}{\|f'(t)\|_1}$?

Published on 23 Feb 2026 - 4:47

score 253 · Answer 3 · 2021-12-13 03:08:50

253

Views

What are the asymptotic bounds for the $L^1$-norm of the Dirichlet kernel?

Published on 13 Dec 2021 - 3:08

score 124 · Answer 4 · 2021-12-13 11:05:27

124

Views

How to derive a tight linear upper bound of $x \rightarrow \frac{1 - \exp(-Cx)}{1 - \exp(-C)}$?

Published on 13 Dec 2021 - 11:05

score 86 · Answer 5 · 2026-02-23 13:16:49

86

Views

How to minimize mutual information between a variable and a correlated sequence of variables?

Published on 23 Feb 2026 - 13:16

score 140 · Answer 6 · 2026-03-27 06:06:35

140

Views

Binary programming problem. Any closed solution and/or lower bound for this particular case?

Published on 27 Mar 2026 - 6:06

score 1.1k · Answer 7 · 2021-12-21 09:20:15

1.1k

Views

Probability for a random variable to be greater than its mean

Published on 21 Dec 2021 - 9:20

score 41 · Answer 8 · 2021-12-21 18:29:15

41

Views

Is this true that a continuous function in a right-closed interval is bounded on that interval?

Published on 21 Dec 2021 - 18:29

score 51 · Answer 9 · 2026-04-02 15:03:30

51

Views

How many coordinates we need to remove from a uniformly selected point on the unit sphere before the remaining are on the same order of magnitude?

Published on 02 Apr 2026 - 15:03

score 57 · Answer 10 · 2021-12-24 06:57:20

57

Views

If $\frac{n^2}{3} < xy \leq n^2 - 5$, then does it follow that $n > \max(x,y)$?

Published on 24 Dec 2021 - 6:57

score 194 · Answer 11 · 2026-03-27 21:20:34

194

Views

On the conjectured inequality $q > k$, where $q^k n^2$ is an odd perfect number with special prime $q$

Published on 27 Mar 2026 - 21:20

score 179 · Answer 12 · 2026-03-30 20:44:25

179

Views

How close can we get to a cross product in dimensions other than $0, 1, 3, 7$?

Published on 30 Mar 2026 - 20:44

score 173 · Answer 13 · 2022-01-02 19:09:50

173

Views

Non negative function at a point is less the the integral of the function

Published on 02 Jan 2022 - 19:09

score 53 · Answer 14 · 2022-01-06 20:10:26

53

Views

Bounding the difference of step functions

Published on 06 Jan 2022 - 20:10

score 60 · Answer 15 · 2022-01-07 08:13:51

60

Views

A Recurrence Relations problem

Published on 07 Jan 2022 - 8:13

List Question

How to bound $\sum_{ j=1}^n j^{n-j}?$

For finite-duration continuous $f(t)$ with $\|f'(t)\|_\infty < \infty$: It is true $\|f'(t)\|_\infty \leq \frac{2\pi \|f'(t)\|_2^2}{\|f'(t)\|_1}$?

What are the asymptotic bounds for the $L^1$-norm of the Dirichlet kernel?

How to derive a tight linear upper bound of $x \rightarrow \frac{1 - \exp(-Cx)}{1 - \exp(-C)}$?

How to minimize mutual information between a variable and a correlated sequence of variables?

Binary programming problem. Any closed solution and/or lower bound for this particular case?

Probability for a random variable to be greater than its mean

Is this true that a continuous function in a right-closed interval is bounded on that interval?

How many coordinates we need to remove from a uniformly selected point on the unit sphere before the remaining are on the same order of magnitude?

If $\frac{n^2}{3} < xy \leq n^2 - 5$, then does it follow that $n > \max(x,y)$?

On the conjectured inequality $q > k$, where $q^k n^2$ is an odd perfect number with special prime $q$

How close can we get to a cross product in dimensions other than $0, 1, 3, 7$?

Non negative function at a point is less the the integral of the function

Bounding the difference of step functions

A Recurrence Relations problem

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