Question

Solving Quadratics Using Continued Fractions/Nonsimple to Simple Continued Fractions

score 473 · Answer 1 · 2018-07-08 03:31:48

473

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Solving Quadratics Using Continued Fractions/Nonsimple to Simple Continued Fractions

Published on 08 Jul 2018 - 3:31

score 908 · Answer 2 · 2018-07-09 20:36:16

908

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What value does the continued fraction $[1,2,3,1,2,3,...]$ represent?

Published on 09 Jul 2018 - 20:36

score 52 · Answer 3 · 2018-07-12 07:10:48

52

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What is the minimum difference between decimal and continued fraction formed by its digits?

Published on 12 Jul 2018 - 7:10

score 42 · Answer 4 · 2018-07-16 17:38:19

42

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Let $K$ a operator of continued fraction.Is this true?

Published on 16 Jul 2018 - 17:38

score 216 · Answer 5 · 2018-07-18 00:35:24

216

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Representation of rationals as finite continued fractions with restricted coefficients

Published on 18 Jul 2018 - 0:35

score 67 · Answer 6 · 2018-07-25 04:25:38

67

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derivative formula related to Rogers-Ramanujan continued fraction

Published on 25 Jul 2018 - 4:25

score 61 · Answer 7 · 2018-08-11 10:04:45

61

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Proving that $\left | \frac{1+\sqrt{5}}{2}-R_k \right |>\frac{1}{Q_k^2\sqrt{5}}$.

Published on 11 Aug 2018 - 10:04

score 89 · Answer 8 · 2018-08-14 12:08:09

89

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Use continued fractions to find the fraction k/r that satsfies $\left|\frac{427}{512} - \frac{k}{r}\right| \leq \frac{1}{1024}$

Published on 14 Aug 2018 - 12:08

score 157 · Answer 9 · 2026-03-23 15:33:20

157

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Binary eigenvalues matrices and continued fractions

Published on 23 Mar 2026 - 15:33

score 58 · Answer 10 · 2026-03-16 16:59:44

58

Views

Is there a distinguishable characteristic between the summation / continuous fraction method in algebraic and transcendental numbers?

Published on 16 Mar 2026 - 16:59

score 299 · Answer 11 · 2018-08-21 17:45:28

299

Views

Why is this value a reduced quadratic irrational

Published on 21 Aug 2018 - 17:45

score 81 · Answer 12 · 2018-08-24 13:51:02

81

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expressing $\frac{a_0 + a_1 + \cdots}{b_0 + b_1 +\cdots}$ in terms of $\frac{a_0}{b_0}, \frac{a_1}{b_1},\ldots$

Published on 24 Aug 2018 - 13:51

score 362 · Answer 13 · 2018-08-26 06:23:46

362

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Proving that the sequence $1, \frac12, \frac{1/2}{3/4}, \cdots$ converges to $\frac{\sqrt 2}2$

Published on 26 Aug 2018 - 6:23

score 143 · Answer 14 · 2018-08-27 18:19:34

143

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Continued Fraction of $ \frac{7 + 2 \sqrt{2}}{9 + \;\,\sqrt{2}}$ with coefficients in $\mathbb{Z}[\sqrt{2}]$

Published on 27 Aug 2018 - 18:19

score 53 · Answer 15 · 2018-08-30 16:34:35

53

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$d \in \mathbb{N}$, that is not a square, show that the continued fractions for following numbers are purely periodic

Published on 30 Aug 2018 - 16:34

List Question

Solving Quadratics Using Continued Fractions/Nonsimple to Simple Continued Fractions

What value does the continued fraction $[1,2,3,1,2,3,...]$ represent?

What is the minimum difference between decimal and continued fraction formed by its digits?

Let $K$ a operator of continued fraction.Is this true?

Representation of rationals as finite continued fractions with restricted coefficients

derivative formula related to Rogers-Ramanujan continued fraction

Proving that $\left | \frac{1+\sqrt{5}}{2}-R_k \right |>\frac{1}{Q_k^2\sqrt{5}}$.

Use continued fractions to find the fraction k/r that satsfies $\left|\frac{427}{512} - \frac{k}{r}\right| \leq \frac{1}{1024}$

Binary eigenvalues matrices and continued fractions

Is there a distinguishable characteristic between the summation / continuous fraction method in algebraic and transcendental numbers?

Why is this value a reduced quadratic irrational

expressing $\frac{a_0 + a_1 + \cdots}{b_0 + b_1 +\cdots}$ in terms of $\frac{a_0}{b_0}, \frac{a_1}{b_1},\ldots$

Proving that the sequence $1, \frac12, \frac{1/2}{3/4}, \cdots$ converges to $\frac{\sqrt 2}2$

Continued Fraction of $ \frac{7 + 2 \sqrt{2}}{9 + \;\,\sqrt{2}}$ with coefficients in $\mathbb{Z}[\sqrt{2}]$

$d \in \mathbb{N}$, that is not a square, show that the continued fractions for following numbers are purely periodic

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