Question

Diophantine approximations with the same denominator for a set of numbers

score 107 · Answer 1 · 2026-03-26 04:14:35

107

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Diophantine approximations with the same denominator for a set of numbers

Published on 26 Mar 2026 - 4:14

score 134 · Answer 2 · 2016-08-10 22:42:03

134

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Optimizing continued fraction of square root

Published on 10 Aug 2016 - 22:42

score 327 · Answer 3 · 2016-08-14 01:48:42

327

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Intuition behind irrationality of $\pi$

Published on 14 Aug 2016 - 1:48

score 273 · Answer 4 · 2016-08-14 02:24:29

273

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Euler's Continued Fraction Theorem for fractions

Published on 14 Aug 2016 - 2:24

score 187 · Answer 5 · 2016-08-20 17:56:02

187

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An infinite series $1+\frac{1}{2+\frac{1}{3+\frac{1}{4+.......}}}$

Published on 20 Aug 2016 - 17:56

score 1.3k · Answer 6 · 2016-08-20 22:07:51

1.3k

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Why are the continued fractions of non-square-root numbers ($\sqrt[a]{x}$ where $a>2$) not periodic?

Published on 20 Aug 2016 - 22:07

score 289 · Answer 7 · 2016-08-21 21:26:05

289

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Where Is The Problem In Proving $1=2$ Through Continued Fractions

Published on 21 Aug 2016 - 21:26

score 77 · Answer 8 · 2016-08-25 20:22:05

77

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Move an object a percentage every frame ("Zeno's Arrow" style)

Published on 25 Aug 2016 - 20:22

score 287 · Answer 9 · 2026-02-23 05:36:13

287

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Surprising continued fractions of numbers in the form $\sum_{n=0}^\infty \frac{1}{a^{2^n}}$, including the same pattern for every $a>2$

Published on 23 Feb 2026 - 5:36

score 2k · Answer 10 · 2016-08-29 03:42:59

2k

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Crazy pattern in the simple continued fraction for $\sum_{k=1}^\infty \frac{1}{(2^k)!}$

Published on 29 Aug 2016 - 3:42

score 53 · Answer 11 · 2016-09-01 05:11:28

53

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can I prove $ \lim_{n\to\infty} [a_0,a_1,a_2 \ldots] = \sqrt2 $ without proving convergence

Published on 01 Sep 2016 - 5:11

score 113 · Answer 12 · 2016-09-06 23:35:11

113

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Finding 1/(2+1/(3+1/(4+...)))

Published on 06 Sep 2016 - 23:35

score 1.6k · Answer 13 · 2016-09-08 00:00:19

1.6k

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Why does Khinchin's constant "work"?

Published on 08 Sep 2016 - 0:00

score 315 · Answer 14 · 2026-03-25 04:43:56

315

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Is there an explanation for the behaviour of this finite continued fraction in connection with prime numbers?

Published on 25 Mar 2026 - 4:43

score 67 · Answer 15 · 2016-09-26 08:00:34

67

Views

Continuous functions in a complete metric space

Published on 26 Sep 2016 - 8:00

List Question

Diophantine approximations with the same denominator for a set of numbers

Optimizing continued fraction of square root

Intuition behind irrationality of $\pi$

Euler's Continued Fraction Theorem for fractions

An infinite series $1+\frac{1}{2+\frac{1}{3+\frac{1}{4+.......}}}$

Why are the continued fractions of non-square-root numbers ($\sqrt[a]{x}$ where $a>2$) not periodic?

Where Is The Problem In Proving $1=2$ Through Continued Fractions

Move an object a percentage every frame ("Zeno's Arrow" style)

Surprising continued fractions of numbers in the form $\sum_{n=0}^\infty \frac{1}{a^{2^n}}$, including the same pattern for every $a>2$

Crazy pattern in the simple continued fraction for $\sum_{k=1}^\infty \frac{1}{(2^k)!}$

can I prove $ \lim_{n\to\infty} [a_0,a_1,a_2 \ldots] = \sqrt2 $ without proving convergence

Finding 1/(2+1/(3+1/(4+...)))

Why does Khinchin's constant "work"?

Is there an explanation for the behaviour of this finite continued fraction in connection with prime numbers?

Continuous functions in a complete metric space

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