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Struggling with Algorithmic Inequalities - Seeking Insights and Feedback on Approach!

score 18 · Answer 1 · 2026-04-12 00:15:53

18

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Struggling with Algorithmic Inequalities - Seeking Insights and Feedback on Approach!

Published on 12 Apr 2026 - 0:15

score 105 · Answer 2 · 2026-04-16 03:16:48

105

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How to get asymptotic approximations for complex summations like $S_n = \sum\limits_{i=0}^n {n \choose i}^2 {2(n-i)\choose (n-i)}$

Published on 16 Apr 2026 - 3:16

score 87 · Answer 3 · 2026-04-16 19:57:25

87

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Prove or disprove: $\log_{\cos(\frac{\pi}{n})} (\frac{1}{e})= \Theta(n^2)$

Published on 16 Apr 2026 - 19:57

score 52 · Answer 4 · 2026-04-09 22:42:16

52

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Proof of product rule using little-o definition of derivative.

Published on 09 Apr 2026 - 22:42

score 1.4k · Answer 5 · 2026-04-16 22:12:30

1.4k

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How is GNFS the best factoring algorithm when its time complexity exceeds brute-force?

Published on 16 Apr 2026 - 22:12

score 657 · Answer 6 · 2026-04-13 02:41:46

657

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Conjecture: In Pascal's triangle with $n$ rows, the proportion of numbers less than the centre number approaches $e^{-1/\pi}$ as $n\to\infty$.

Published on 13 Apr 2026 - 2:41

score 83 · Answer 7 · 2026-04-14 06:31:21

83

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Asymptotic evaluation of a series

Published on 14 Apr 2026 - 6:31

score 207 · Answer 8 · 2026-04-13 06:22:07

207

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Asymptotic of $\sum_{k=0}^\infty\frac{\Gamma (k+n+1) \Gamma (3 k+n+1)}{\Gamma (k+2) \Gamma (3 k+2 n+2)}$ as $n\to \infty$

Published on 13 Apr 2026 - 6:22

score 39 · Answer 9 · 2026-04-11 23:41:34

39

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Taking out Big O terms in the numerator and denominator as a single Big O term

Published on 11 Apr 2026 - 23:41

score 31 · Answer 10 · 2026-04-14 15:00:09

31

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sequence of abscissas x corresponding to equispaced points on any function

Published on 14 Apr 2026 - 15:00

score 287 · Answer 11 · 2026-04-14 05:14:03

287

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The fabulous Wenger's Summation

Published on 14 Apr 2026 - 5:14

score 82 · Answer 12 · 2026-04-15 23:53:11

82

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Deriving the asymptotic distribution of $\sqrt{n} \left(\hat{\beta_{IV}} - \hat{\beta_{OLS}} \right)$

Published on 15 Apr 2026 - 23:53

score 154 · Answer 13 · 2026-04-12 09:15:30

154

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Second place in the Turing Machine race

Published on 12 Apr 2026 - 9:15

score 103 · Answer 14 · 2026-04-09 20:15:37

103

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Condition on the inequality holds asymptotically

Published on 09 Apr 2026 - 20:15

score 56 · Answer 15 · 2026-04-09 13:28:52

56

Views

Does a 3D random walk visit infinitely many primes almost surely?

Published on 09 Apr 2026 - 13:28

List Question

Struggling with Algorithmic Inequalities - Seeking Insights and Feedback on Approach!

How to get asymptotic approximations for complex summations like $S_n = \sum\limits_{i=0}^n {n \choose i}^2 {2(n-i)\choose (n-i)}$

Prove or disprove: $\log_{\cos(\frac{\pi}{n})} (\frac{1}{e})= \Theta(n^2)$

Proof of product rule using little-o definition of derivative.

How is GNFS the best factoring algorithm when its time complexity exceeds brute-force?

Conjecture: In Pascal's triangle with $n$ rows, the proportion of numbers less than the centre number approaches $e^{-1/\pi}$ as $n\to\infty$.

Asymptotic evaluation of a series

Asymptotic of $\sum_{k=0}^\infty\frac{\Gamma (k+n+1) \Gamma (3 k+n+1)}{\Gamma (k+2) \Gamma (3 k+2 n+2)}$ as $n\to \infty$

Taking out Big O terms in the numerator and denominator as a single Big O term

sequence of abscissas x corresponding to equispaced points on any function

The fabulous Wenger's Summation

Deriving the asymptotic distribution of $\sqrt{n} \left(\hat{\beta_{IV}} - \hat{\beta_{OLS}} \right)$

Second place in the Turing Machine race

Condition on the inequality holds asymptotically

Does a 3D random walk visit infinitely many primes almost surely?

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