Question

Closed form for the harmonic approximation sum $\sum _{k=1}^{\infty } \left(H_k^{(2)}-\zeta (2)\right){}^2$

score 744 · Answer 1 · 2026-03-30 16:05:03

744

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Closed form for the harmonic approximation sum $\sum _{k=1}^{\infty } \left(H_k^{(2)}-\zeta (2)\right){}^2$

Published on 30 Mar 2026 - 16:05

score 327 · Answer 2 · 2026-04-08 07:14:26

327

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Can we prove this factorial interpolation process converges to the Gamma function?

Published on 08 Apr 2026 - 7:14

score 115 · Answer 3 · 2026-04-11 17:01:27

115

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proof of Runge's Approximation theorem by using pompeiu lemma

Published on 11 Apr 2026 - 17:01

score 2.9k · Answer 4 · 2026-04-12 18:07:09

2.9k

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What's the closest approximation to $\pi$ using the digits $0-9$ only once?

Published on 12 Apr 2026 - 18:07

score 617 · Answer 5 · 2026-04-09 08:25:31

617

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How to perform the Runge-Kutta method with symbolic constant variables?

Published on 09 Apr 2026 - 8:25

score 10.9k · Answer 6 · 2026-04-10 21:05:39

10.9k

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How can I generate "random" curves?

Published on 10 Apr 2026 - 21:05

score 387 · Answer 7 · 2026-04-11 05:35:22

387

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Calculating the square root of $e$

Published on 11 Apr 2026 - 5:35

score 462 · Answer 8 · 2026-03-29 02:17:34

462

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Estimate value of maximum cut in graph using Chernoff and union bounds

Published on 29 Mar 2026 - 2:17

score 343 · Answer 9 · 2026-04-12 18:05:43

343

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What is the simplest accurate approximation of $\sin^{-1}x$ using a (polynomial) function of $x$ and $\sqrt{1-x^2}$?

Published on 12 Apr 2026 - 18:05

score 1k · Answer 10 · 2026-04-12 20:50:48

1k

Views

"Taylor" approximation of a function, based on 2 rather than 1 base points?

Published on 12 Apr 2026 - 20:50

score 170 · Answer 11 · 2026-04-12 10:02:53

170

Views

Approximation using first order term

Published on 12 Apr 2026 - 10:02

score 74 · Answer 12 · 2018-01-10 22:47:10

74

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Is $\log (e^n+n^e) =n$ for $n\geq15$ or for large $n$?

Published on 10 Jan 2018 - 22:47

score 29k · Answer 13 · 2026-04-11 18:20:06

29k

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Simple numerical methods for calculating the digits of $\pi$

Published on 11 Apr 2026 - 18:20

score 807 · Answer 14 · 2026-04-01 06:27:22

807

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Are there variations on least-squares approximations?

Published on 01 Apr 2026 - 6:27

score 92.2k · Answer 15 · 2010-07-28 11:23:15

92.2k

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Approximation symbol: Is $\pi \approx 3.14\dots$ equivalent to $\pi \fallingdotseq 3.14\dots$?

Published on 28 Jul 2010 - 11:23

List Question

Closed form for the harmonic approximation sum $\sum _{k=1}^{\infty } \left(H_k^{(2)}-\zeta (2)\right){}^2$

Can we prove this factorial interpolation process converges to the Gamma function?

proof of Runge's Approximation theorem by using pompeiu lemma

What's the closest approximation to $\pi$ using the digits $0-9$ only once?

How to perform the Runge-Kutta method with symbolic constant variables?

How can I generate "random" curves?

Calculating the square root of $e$

Estimate value of maximum cut in graph using Chernoff and union bounds

What is the simplest accurate approximation of $\sin^{-1}x$ using a (polynomial) function of $x$ and $\sqrt{1-x^2}$?

"Taylor" approximation of a function, based on 2 rather than 1 base points?

Approximation using first order term

Is $\log (e^n+n^e) =n$ for $n\geq15$ or for large $n$?

Simple numerical methods for calculating the digits of $\pi$

Are there variations on least-squares approximations?

Approximation symbol: Is $\pi \approx 3.14\dots$ equivalent to $\pi \fallingdotseq 3.14\dots$?

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