Question

arithmetic with continued fraction abbreviated notation?

score 60 · Answer 1 · 2026-04-20 02:28:49

60

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arithmetic with continued fraction abbreviated notation?

Published on 20 Apr 2026 - 2:28

score 130 · Answer 2 · 2026-04-11 07:15:29

130

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Doubt in a solution provided to IMO Shortlist 2013

Published on 11 Apr 2026 - 7:15

score 642 · Answer 3 · 2026-04-15 21:23:32

642

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Continuous function and limit $ f(x,y)=\left\{\begin{matrix} (x-y)\sin\frac{1}{x}\sin\frac{1}{y} & , xy\neq 0 \\ 0 &, x=y=0 \end{matrix}\right. $

Published on 15 Apr 2026 - 21:23

score 1.1k · Answer 4 · 2026-04-13 00:00:07

1.1k

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Confusion while evaluating the complex continued fraction $\frac{1}{i+\frac{1}\ddots}$

Published on 13 Apr 2026 - 0:00

score 228 · Answer 5 · 2026-04-14 12:31:22

228

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Continued fraction of $\frac{1+\sqrt{5}}{2}$

Published on 14 Apr 2026 - 12:31

score 199 · Answer 6 · 2026-05-10 17:15:51

199

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Algorithm to find floors of multiples of the golden ratio

Published on 10 May 2026 - 17:15

score 70 · Answer 7 · 2026-04-08 16:47:58

70

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What is the significance of the same leading term in a continued fraction expansion?

Published on 08 Apr 2026 - 16:47

score 188 · Answer 8 · 2026-04-11 14:55:39

188

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Limit of continued fraction

Published on 11 Apr 2026 - 14:55

score 374 · Answer 9 · 2026-04-11 21:00:26

374

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Summation Formula for Tangent/Secant Numbers

Published on 11 Apr 2026 - 21:00

score 177 · Answer 10 · 2026-04-12 04:53:12

177

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Finding the quadratic polynomial of a continued fraction

Published on 12 Apr 2026 - 4:53

score 96 · Answer 11 · 2026-04-08 22:35:20

96

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Clarification on this continued fractions question.

Published on 08 Apr 2026 - 22:35

score 218 · Answer 12 · 2026-04-15 04:03:50

218

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Showing that the simple continued fraction of $\sqrt{d}$ has period length 1 iff $d=a^2+1$

Published on 15 Apr 2026 - 4:03

score 94 · Answer 13 · 2026-04-11 01:21:40

94

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Analogue of normality for continued fractions

Published on 11 Apr 2026 - 1:21

score 135 · Answer 14 · 2026-04-17 13:46:20

135

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Prove that this sequence of continued fractions $\frac{2}{1}, \frac{6}{5+\frac{4}{3}}, \frac{12}{11+\frac{10}{9+\frac{8}{7}}},\dots$ tends to $1$.

Published on 17 Apr 2026 - 13:46

score 82 · Answer 15 · 2026-04-09 09:35:34

82

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Understanding Proof about Continued Fraction convergent sequences

Published on 09 Apr 2026 - 9:35

List Question

arithmetic with continued fraction abbreviated notation?

Doubt in a solution provided to IMO Shortlist 2013

Continuous function and limit $ f(x,y)=\left\{\begin{matrix} (x-y)\sin\frac{1}{x}\sin\frac{1}{y} & , xy\neq 0 \\ 0 &, x=y=0 \end{matrix}\right. $

Confusion while evaluating the complex continued fraction $\frac{1}{i+\frac{1}\ddots}$

Continued fraction of $\frac{1+\sqrt{5}}{2}$

Algorithm to find floors of multiples of the golden ratio

What is the significance of the same leading term in a continued fraction expansion?

Limit of continued fraction

Summation Formula for Tangent/Secant Numbers

Finding the quadratic polynomial of a continued fraction

Clarification on this continued fractions question.

Showing that the simple continued fraction of $\sqrt{d}$ has period length 1 iff $d=a^2+1$

Analogue of normality for continued fractions

Prove that this sequence of continued fractions $\frac{2}{1}, \frac{6}{5+\frac{4}{3}}, \frac{12}{11+\frac{10}{9+\frac{8}{7}}},\dots$ tends to $1$.

Understanding Proof about Continued Fraction convergent sequences

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