Question

Explanations of the Euler's continued fractions to compute exponential

score 108 · Answer 1 · 2013-10-09 20:04:09

108

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Explanations of the Euler's continued fractions to compute exponential

Published on 09 Oct 2013 - 20:04

score 973 · Answer 2 · 2013-10-19 03:47:48

973

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Legendre's Proof (continued fractions) from Hardy's Book

Published on 19 Oct 2013 - 3:47

score 916 · Answer 3 · 2013-10-21 02:39:00

916

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Definition of $ 1 + \frac{1}{2+\frac{1}{3+\frac{1}{4+\frac{1}{\ddots}}}}$

Published on 21 Oct 2013 - 2:39

score 443 · Answer 4 · 2013-10-24 10:21:07

443

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How to find value of $x+y+z+u+v+w$

Published on 24 Oct 2013 - 10:21

score 104 · Answer 5 · 2013-10-25 23:40:39

104

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Continued fraction : How to find the first 3 terms

Published on 25 Oct 2013 - 23:40

score 122 · Answer 6 · 2013-11-04 22:37:33

122

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Interesting Recursive Continued Fraction Limit

Published on 04 Nov 2013 - 22:37

score 1.2k · Answer 7 · 2013-11-07 03:59:32

1.2k

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Pell's Equation $x^2-11y^2=1$ through Continued Fractions

Published on 07 Nov 2013 - 3:59

score 133 · Answer 8 · 2013-11-07 15:36:58

133

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Expressing $1+a_1(b_1+a_2(b_2+a_3(b_3+a_4(b_4+a_5(\cdots)))))$ as an infinite continued fraction.

Published on 07 Nov 2013 - 15:36

score 447 · Answer 9 · 2013-11-07 21:12:47

447

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Short proof of Seidel-Stern theorem on continued fractions

Published on 07 Nov 2013 - 21:12

score 395 · Answer 10 · 2013-11-12 02:12:13

395

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Infinite continued fraction expansion

Published on 12 Nov 2013 - 2:12

score 51 · Answer 11 · 2013-11-13 07:28:07

51

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How to restrict the output values of a continued fraction?

Published on 13 Nov 2013 - 7:28

score 246 · Answer 12 · 2013-11-14 01:00:22

246

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Convergent Sequence from Introduction to Analysis

Published on 14 Nov 2013 - 1:00

score 218 · Answer 13 · 2013-11-14 20:59:26

218

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Continued fraction with alternative signs

Published on 14 Nov 2013 - 20:59

score 45 · Answer 14 · 2013-11-17 02:27:05

45

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Interesting continued fraction problem $|r_i-u_0/u_1|\le\frac1{k_ik_{i+1}}$

Published on 17 Nov 2013 - 2:27

score 177 · Answer 15 · 2013-11-20 06:33:38

177

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Prove that for $n\ge1$, $\xi-\frac{h_n}{k_n}=(-1)^nk_n^{-2}\left(\xi_{n+1}+\langle 0,a_n,a_{n-1},...,a_2,a_1\rangle\right)^{-1}$

Published on 20 Nov 2013 - 6:33

List Question

Explanations of the Euler's continued fractions to compute exponential

Legendre's Proof (continued fractions) from Hardy's Book

Definition of $ 1 + \frac{1}{2+\frac{1}{3+\frac{1}{4+\frac{1}{\ddots}}}}$

How to find value of $x+y+z+u+v+w$

Continued fraction : How to find the first 3 terms

Interesting Recursive Continued Fraction Limit

Pell's Equation $x^2-11y^2=1$ through Continued Fractions

Expressing $1+a_1(b_1+a_2(b_2+a_3(b_3+a_4(b_4+a_5(\cdots)))))$ as an infinite continued fraction.

Short proof of Seidel-Stern theorem on continued fractions

Infinite continued fraction expansion

How to restrict the output values of a continued fraction?

Convergent Sequence from Introduction to Analysis

Continued fraction with alternative signs

Interesting continued fraction problem $|r_i-u_0/u_1|\le\frac1{k_ik_{i+1}}$

Prove that for $n\ge1$, $\xi-\frac{h_n}{k_n}=(-1)^nk_n^{-2}\left(\xi_{n+1}+\langle 0,a_n,a_{n-1},...,a_2,a_1\rangle\right)^{-1}$

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