Question

If $R:S^{1}\rightarrow S^{1}$ is a irrational rotation, $\{R^{n}([x])\}$ is dense in $S^{1}$ for all points.

score 454 · Answer 1 · 2026-03-27 06:12:37

454

Views

If $R:S^{1}\rightarrow S^{1}$ is a irrational rotation, $\{R^{n}([x])\}$ is dense in $S^{1}$ for all points.

Published on 27 Mar 2026 - 6:12

score 224 · Answer 2 · 2019-05-10 23:20:02

224

Views

Why are $sin(x)$ and $cos(x)$ irrational for (non-zero) rational values of $x$?

Published on 10 May 2019 - 23:20

score 157 · Answer 3 · 2019-05-11 11:52:13

157

Views

Flea on infinite chessboard jumping with irrational vector eventually changes square color

Published on 11 May 2019 - 11:52

score 79 · Answer 4 · 2019-05-14 00:10:56

79

Views

Irrationality of square root of 2

Published on 14 May 2019 - 0:10

score 119 · Answer 5 · 2026-03-26 06:29:15

119

Views

Is my proof of $\pi$’s irrationality correct?

Published on 26 Mar 2026 - 6:29

score 93 · Answer 6 · 2019-05-15 07:02:57

93

Views

How to prove the irrationality of a number generated by the “$6n \pm 1$ property” of primes?

Published on 15 May 2019 - 7:02

score 162 · Answer 7 · 2026-03-26 16:56:55

162

Views

Alternation of Rationals and Irrationals?

Published on 26 Mar 2026 - 16:56

score 196 · Answer 8 · 2019-05-15 22:23:38

196

Views

How to show $\sqrt{p}$ is irrational

Published on 15 May 2019 - 22:23

score 172 · Answer 9 · 2026-03-25 18:44:09

172

Views

Finite Sequence in an Infinite Non-Cyclic Sequence

Published on 25 Mar 2026 - 18:44

score 204 · Answer 10 · 2026-03-27 20:19:57

204

Views

How can this binomial expansion result in two different approximations of root 2?

Published on 27 Mar 2026 - 20:19

score 119 · Answer 11 · 2019-05-16 17:27:59

119

Views

Trying to understand the irrationality criterion with examples.

Published on 16 May 2019 - 17:27

score 308 · Answer 12 · 2019-05-17 09:12:55

308

Views

Request help on proof of irrationality of $\sqrt {8}$.

Published on 17 May 2019 - 9:12

score 31 · Answer 13 · 2019-05-18 11:02:31

31

Views

Find an integer coefficient polynomial for this number

Published on 18 May 2019 - 11:02

score 211 · Answer 14 · 2026-03-28 22:29:59

211

Views

Prove that $f(x) = x$ when $x$ is rational and $f(x) = 1 - x$ when $x$ is irrational is continuous at $x = \frac{1}{2}$.

Published on 28 Mar 2026 - 22:29

score 119 · Answer 15 · 2026-03-28 22:28:28

119

Views

Proof of Density of Rational Numbers as given in Howie

Published on 28 Mar 2026 - 22:28

List Question

If $R:S^{1}\rightarrow S^{1}$ is a irrational rotation, $\{R^{n}([x])\}$ is dense in $S^{1}$ for all points.

Why are $sin(x)$ and $cos(x)$ irrational for (non-zero) rational values of $x$?

Flea on infinite chessboard jumping with irrational vector eventually changes square color

Irrationality of square root of 2

Is my proof of $\pi$’s irrationality correct?

How to prove the irrationality of a number generated by the “$6n \pm 1$ property” of primes?

Alternation of Rationals and Irrationals?

How to show $\sqrt{p}$ is irrational

Finite Sequence in an Infinite Non-Cyclic Sequence

How can this binomial expansion result in two different approximations of root 2?

Trying to understand the irrationality criterion with examples.

Request help on proof of irrationality of $\sqrt {8}$.

Find an integer coefficient polynomial for this number

Prove that $f(x) = x$ when $x$ is rational and $f(x) = 1 - x$ when $x$ is irrational is continuous at $x = \frac{1}{2}$.

Proof of Density of Rational Numbers as given in Howie

Trending Questions

Popular # Hahtags

Popular Questions