Question

Rational numbers as angles - where do irrationals fit in?

score 345 · Answer 1 · 2016-04-01 12:12:40

345

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Rational numbers as angles - where do irrationals fit in?

Published on 01 Apr 2016 - 12:12

score 236 · Answer 2 · 2026-03-29 22:19:28

236

Views

$\pi \not\in \mathbb{Q}$?

Published on 29 Mar 2026 - 22:19

score 496 · Answer 3 · 2016-04-01 16:06:04

496

Views

Prove $\cos\frac{\pi}{2^{n+1}}$ is irrational

Published on 01 Apr 2016 - 16:06

score 1.1k · Answer 4 · 2016-04-02 13:19:44

1.1k

Views

Proof by Contradiction relating to rational and irrational numbers

Published on 02 Apr 2016 - 13:19

score 189 · Answer 5 · 2016-04-04 04:37:16

189

Views

show that this statement is false (counterexample) if $a,b \in \mathbb R \backslash \mathbb Q $ then $a \cdot b \in \mathbb R \backslash \mathbb Q $

Published on 04 Apr 2016 - 4:37

score 638 · Answer 6 · 2026-02-23 06:35:00

638

Views

Irrational numbers generated by a deterministic cellular automaton?

Published on 23 Feb 2026 - 6:35

score 822 · Answer 7 · 2016-04-05 18:59:19

822

Views

Why there are real numbers with infinite digits, but no such natural numbers (or another reason why real numbers are uncountable)

Published on 05 Apr 2016 - 18:59

score 2.6k · Answer 8 · 2026-03-29 21:37:41

2.6k

Views

All real numbers in $[0,2]$ can be represented as $\sqrt{2 \pm \sqrt{2 \pm \sqrt{2 \pm \dots}}}$

Published on 29 Mar 2026 - 21:37

score 228 · Answer 9 · 2016-04-08 10:25:08

228

Views

How are the digits of an irrational number computed?

Published on 08 Apr 2016 - 10:25

score 25 · Answer 10 · 2016-04-11 16:29:38

25

Views

General Techniques - Number sets

Published on 11 Apr 2016 - 16:29

score 54 · Answer 11 · 2016-04-14 17:14:23

54

Views

On the limit $\lim_{n \to +\infty} n \{ n \xi \}$

Published on 14 Apr 2016 - 17:14

score 2k · Answer 12 · 2026-03-21 12:49:18

2k

Views

Is there an explicit irrational number which is not known to be either algebraic or transcendental?

Published on 21 Mar 2026 - 12:49

score 1.7k · Answer 13 · 2016-04-19 18:31:04

1.7k

Views

Prove that there is no largest irrational number

Published on 19 Apr 2016 - 18:31

score 129 · Answer 14 · 2016-04-21 18:50:58

129

Views

Deleting digits from an irrational number

Published on 21 Apr 2016 - 18:50

score 116 · Answer 15 · 2016-04-23 00:40:45

116

Views

Can we evaluate the alternating sum of the digits of an irrational number?

Published on 23 Apr 2016 - 0:40

List Question

Rational numbers as angles - where do irrationals fit in?

$\pi \not\in \mathbb{Q}$?

Prove $\cos\frac{\pi}{2^{n+1}}$ is irrational

Proof by Contradiction relating to rational and irrational numbers

show that this statement is false (counterexample) if $a,b \in \mathbb R \backslash \mathbb Q $ then $a \cdot b \in \mathbb R \backslash \mathbb Q $

Irrational numbers generated by a deterministic cellular automaton?

Why there are real numbers with infinite digits, but no such natural numbers (or another reason why real numbers are uncountable)

All real numbers in $[0,2]$ can be represented as $\sqrt{2 \pm \sqrt{2 \pm \sqrt{2 \pm \dots}}}$

How are the digits of an irrational number computed?

General Techniques - Number sets

On the limit $\lim_{n \to +\infty} n \{ n \xi \}$

Is there an explicit irrational number which is not known to be either algebraic or transcendental?

Prove that there is no largest irrational number

Deleting digits from an irrational number

Can we evaluate the alternating sum of the digits of an irrational number?

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