List questions from upper-lower-bounds

57

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Is there a bounded function that is always greater than $M (t) = \max_{s \in [0, t]} \left| \zeta \left( \frac{1}{2} + i s \right) \right|$?

Published on 22 Jul 2018 - 21:16

89

Views

Upper bound for the integral.

Published on 23 Jul 2018 - 6:38

80

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Chernoff bound $ \mathbb{P} \left\lbrace \Big| X - \mathbb{E}(X) \Big| > t \right\rbrace $

Published on 25 Mar 2026 - 12:53

4k

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Chi-squared distribution tail bound

Published on 25 Mar 2026 - 22:01

2.5k

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indicator function with integrals

Published on 28 Jul 2018 - 8:35

2.8k

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When does the busy beaver function surpass TREE(n)?

Published on 25 Mar 2026 - 4:56

115

Views

Expected Proportion of Random Variables

Published on 31 Jul 2018 - 17:37

485

Views

Lower bound spectral radius of matrix

Published on 25 Mar 2026 - 22:10

104

Views

Obtaining an upper bound on transition probabilities by truncation

Published on 20 Mar 2026 - 14:50

379

Views

Tight upper and lower bounds of the CDF of a summation of random variables

Published on 03 Aug 2018 - 0:20

186

Views

Is there a clean way to show $\frac{\log(x-\tfrac12\log x)}{\log(x+\tfrac12\log x)}>1-\tfrac1x$ for all $x>1$?

Published on 03 Aug 2018 - 20:48

128

Views

Upper bound of the integral $\frac{a^{n}}{n!}\int_{0}^{1} e^{at} t^{n}(1-t)^{n}dt$.

Published on 25 Mar 2026 - 1:40

113

Views

Identifiability of Normal From Conditional Probability

Published on 25 Mar 2026 - 11:09

1.4k

Views

Variable in upper bound of sum

Published on 25 Mar 2026 - 20:41

58

Views

Find a bound to the mean of a sum of Bernoulli variables

Published on 25 Mar 2026 - 16:03

List Question

Is there a bounded function that is always greater than $M (t) = \max_{s \in [0, t]} \left| \zeta \left( \frac{1}{2} + i s \right) \right|$?

Upper bound for the integral.

Chernoff bound $ \mathbb{P} \left\lbrace \Big| X - \mathbb{E}(X) \Big| > t \right\rbrace $

Chi-squared distribution tail bound

indicator function with integrals

When does the busy beaver function surpass TREE(n)?

Expected Proportion of Random Variables

Lower bound spectral radius of matrix

Obtaining an upper bound on transition probabilities by truncation

Tight upper and lower bounds of the CDF of a summation of random variables

Is there a clean way to show $\frac{\log(x-\tfrac12\log x)}{\log(x+\tfrac12\log x)}>1-\tfrac1x$ for all $x>1$?

Upper bound of the integral $\frac{a^{n}}{n!}\int_{0}^{1} e^{at} t^{n}(1-t)^{n}dt$.

Identifiability of Normal From Conditional Probability

Variable in upper bound of sum

Find a bound to the mean of a sum of Bernoulli variables

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