Question

What is meant by “the convergent just preceding $\frac{a}{b}$” in continued fractions?

score 80 · Answer 1 · 2020-06-05 20:43:16

80

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What is meant by “the convergent just preceding $\frac{a}{b}$” in continued fractions?

Published on 05 Jun 2020 - 20:43

score 276 · Answer 2 · 2020-06-12 01:48:40

276

Views

Finding the optimal $\frac pq$ approximation for a real number given upper limits on $p$ and $q$

Published on 12 Jun 2020 - 1:48

score 168 · Answer 3 · 2020-06-29 08:10:16

168

Views

Rationality of Euler-type Generalised Continued Fraction

Published on 29 Jun 2020 - 8:10

score 687 · Answer 4 · 2026-03-26 00:54:00

687

Views

Is $22/7$ the closest to $\pi$, among fractions of denominator at most $50$?

Published on 26 Mar 2026 - 0:54

score 276 · Answer 5 · 2026-02-23 10:19:34

276

Views

What does $\frac{1}{1+\frac{2}{2+\frac{3}{{\vdots}}}}$ evaluate to?

Published on 23 Feb 2026 - 10:19

score 205 · Answer 6 · 2020-07-15 20:04:21

205

Views

Sum of Continued Fractions

Published on 15 Jul 2020 - 20:04

score 174 · Answer 7 · 2020-07-16 13:08:51

174

Views

Help Understanding A Quote From Khinchin's Continued Fractions

Published on 16 Jul 2020 - 13:08

score 33 · Answer 8 · 2020-07-22 09:44:32

33

Views

What is a 2-fraction?

Published on 22 Jul 2020 - 9:44

score 217 · Answer 9 · 2020-07-31 07:45:30

217

Views

Quadratic irrationals with continued fraction of period one

Published on 31 Jul 2020 - 7:45

score 181 · Answer 10 · 2016-07-09 05:56:19

181

Views

Is the inverse of Minkowski's question mark function continuous on the dyadic fractions?

Published on 09 Jul 2016 - 5:56

score 364 · Answer 11 · 2016-07-16 18:45:26

364

Views

Why cannot $1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\dots}}}$ be equal to $\frac{1-\sqrt{5}}{2}$?

Published on 16 Jul 2016 - 18:45

score 4.5k · Answer 12 · 2016-07-23 21:53:28

4.5k

Views

Writing continued fractions of irrational numbers as infinite series

Published on 23 Jul 2016 - 21:53

score 1.5k · Answer 13 · 2016-07-26 15:12:00

1.5k

Views

Convergence of a Harmonic Continued Fraction

Published on 26 Jul 2016 - 15:12

score 153 · Answer 14 · 2016-07-31 01:45:55

153

Views

A Geometric Proof for a Theorem Estimating the Slope $\alpha$ of a Given Line L

Published on 31 Jul 2016 - 1:45

score 205 · Answer 15 · 2016-07-31 08:03:26

205

Views

Functional equation: $f(x)=x+\dfrac{f(2x)}{f(3x)}$

Published on 31 Jul 2016 - 8:03

List Question

What is meant by “the convergent just preceding $\frac{a}{b}$” in continued fractions?

Finding the optimal $\frac pq$ approximation for a real number given upper limits on $p$ and $q$

Rationality of Euler-type Generalised Continued Fraction

Is $22/7$ the closest to $\pi$, among fractions of denominator at most $50$?

What does $\frac{1}{1+\frac{2}{2+\frac{3}{{\vdots}}}}$ evaluate to?

Sum of Continued Fractions

Help Understanding A Quote From Khinchin's Continued Fractions

What is a 2-fraction?

Quadratic irrationals with continued fraction of period one

Is the inverse of Minkowski's question mark function continuous on the dyadic fractions?

Why cannot $1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\dots}}}$ be equal to $\frac{1-\sqrt{5}}{2}$?

Writing continued fractions of irrational numbers as infinite series

Convergence of a Harmonic Continued Fraction

A Geometric Proof for a Theorem Estimating the Slope $\alpha$ of a Given Line L

Functional equation: $f(x)=x+\dfrac{f(2x)}{f(3x)}$

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