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Deriving Stirling's approximation formula via the definition of the Gamma function

score 1.4k · Answer 1 · 2026-04-06 03:18:34

1.4k

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Deriving Stirling's approximation formula via the definition of the Gamma function

Published on 06 Apr 2026 - 3:18

score 186 · Answer 2 · 2016-03-25 19:54:09

186

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What "approximation factor" means for approximation algorithms?

Published on 25 Mar 2016 - 19:54

score 36 · Answer 3 · 2016-03-26 23:54:03

36

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Upper-bounding $\mathbb{E}\left[ \frac{\tilde{p}}{p} a \right]$ with $D(p, \tilde{p})+ \mathbb{E}[a]$?

Published on 26 Mar 2016 - 23:54

score 744 · Answer 4 · 2016-03-27 07:19:38

744

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Where am I violating the rules?

Published on 27 Mar 2016 - 7:19

score 1k · Answer 5 · 2016-03-27 11:47:20

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Approximating $\exp(\sin(x))$ with polynomials

Published on 27 Mar 2016 - 11:47

score 79 · Answer 6 · 2016-03-28 12:11:31

79

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Minimal Subset that sums up to

Published on 28 Mar 2016 - 12:11

score 51 · Answer 7 · 2016-03-29 14:21:44

51

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Approximating $f(1)$ given $f(0)=2$ and $\frac{1}{2}x^2≤f'(x)≤x^2$?

Published on 29 Mar 2016 - 14:21

score 477 · Answer 8 · 2026-03-25 18:52:11

477

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Linear Approximation for functions with first derivative as $0$

Published on 25 Mar 2026 - 18:52

score 61 · Answer 9 · 2016-03-29 20:14:25

61

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Approximating number of partitions of $n$, denoted $p(n)$, by $p(n)\ge e^{c\sqrt n}$

Published on 29 Mar 2016 - 20:14

score 375 · Answer 10 · 2026-03-25 22:30:50

375

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propagation of error from product of Taylor Series

Published on 25 Mar 2026 - 22:30

score 4.4k · Answer 11 · 2026-03-26 20:25:55

4.4k

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Rational approximation of square roots

Published on 26 Mar 2026 - 20:25

score 1.1k · Answer 12 · 2026-03-26 03:01:28

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Stuck in using Stirling's approximation to show and justify an approximation of the number of permutations with and without ordering

Published on 26 Mar 2026 - 3:01

score 41 · Answer 13 · 2016-04-02 15:33:04

41

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How to arrive at this approximation?

Published on 02 Apr 2016 - 15:33

score 246 · Answer 14 · 2026-04-03 12:08:55

246

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approximation of binomial coefficient by exponentiation

Published on 03 Apr 2026 - 12:08

score 854 · Answer 15 · 2026-03-21 12:48:33

854

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The 9 most significant digits in Fibonacci series (Project Euler 104)

Published on 21 Mar 2026 - 12:48

List Question

Deriving Stirling's approximation formula via the definition of the Gamma function

What "approximation factor" means for approximation algorithms?

Upper-bounding $\mathbb{E}\left[ \frac{\tilde{p}}{p} a \right]$ with $D(p, \tilde{p})+ \mathbb{E}[a]$?

Where am I violating the rules?

Approximating $\exp(\sin(x))$ with polynomials

Minimal Subset that sums up to

Approximating $f(1)$ given $f(0)=2$ and $\frac{1}{2}x^2≤f'(x)≤x^2$?

Linear Approximation for functions with first derivative as $0$

Approximating number of partitions of $n$, denoted $p(n)$, by $p(n)\ge e^{c\sqrt n}$

propagation of error from product of Taylor Series

Rational approximation of square roots

Stuck in using Stirling's approximation to show and justify an approximation of the number of permutations with and without ordering

How to arrive at this approximation?

approximation of binomial coefficient by exponentiation

The 9 most significant digits in Fibonacci series (Project Euler 104)

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